image

    Have a query? Ask a Tutor!!

    Access to best educators and exclusive paper discussions

    Offsite CampusTurito Championship

    Can’t find what you’re looking for?

    Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

    • Homework- One to One Solutions
    • Understand concepts to solve better
    • Get your doubts solved instantly
    Mathematics
    Grade9
    Easy

    Question

    It is a transformation in which a figure is rotated around a fixed point called__________.

    1. Line of symmetry
    2. Vertex
    3. Center
    4. Center of rotation

    hintHint:

    General synopsis of Rotation concept.

    The correct answer is: Center of rotation

      * In Mathematics, rotation means the Circular movement of an object around one fixed point.
      * In rotation, the image after transformation remains constant.
      * Hence, it is called as a rigid transformation.
      * No Change in shape and size.
      * The Shape rotates counter- clockwise when the degrees is positive and rotates clockwise when degrees is negative.
      >>>>Therefore, the fixed point is called as center of rotation.

      >>>>The center of rotation is the point that rotates the given figure about a point.

      Related Questions to study

      Grade9
      Mathematics

      Use matrix multiplication to find the image. Graph the polygon and its image.
      Reflect open square brackets table row cell negative 4 end cell cell negative 3 end cell cell negative 1 end cell row 0 3 2 end table close square brackets in the y-axis.

      The required matrix representation is:
      open square brackets table row cell negative 1 end cell 0 row 0 1 end table close square brackets open square brackets table row cell negative 4 end cell cell negative 3 end cell cell negative 1 end cell row 0 3 2 end table close square brackets equals open square brackets table row cell negative 1 left parenthesis negative 4 right parenthesis plus 0 left parenthesis 0 right parenthesis end cell cell negative 1 left parenthesis negative 3 right parenthesis plus 0 left parenthesis 3 right parenthesis end cell cell negative 1 left parenthesis negative 1 right parenthesis plus 0 left parenthesis 2 right parenthesis end cell row cell 0 left parenthesis negative 4 right parenthesis plus left parenthesis 1 right parenthesis 0 end cell cell 0 left parenthesis negative 3 right parenthesis plus left parenthesis 1 right parenthesis left parenthesis 3 right parenthesis end cell cell 0 left parenthesis negative 1 right parenthesis plus left parenthesis 1 right parenthesis left parenthesis 2 right parenthesis end cell end table close square brackets equals open square brackets table attributes columnalign left end attributes row 4 3 1 row 0 3 2 end table close square brackets

      Use matrix multiplication to find the image. Graph the polygon and its image.
      Reflect open square brackets table row cell negative 4 end cell cell negative 3 end cell cell negative 1 end cell row 0 3 2 end table close square brackets in the y-axis.

      MathematicsGrade9

      The required matrix representation is:
      open square brackets table row cell negative 1 end cell 0 row 0 1 end table close square brackets open square brackets table row cell negative 4 end cell cell negative 3 end cell cell negative 1 end cell row 0 3 2 end table close square brackets equals open square brackets table row cell negative 1 left parenthesis negative 4 right parenthesis plus 0 left parenthesis 0 right parenthesis end cell cell negative 1 left parenthesis negative 3 right parenthesis plus 0 left parenthesis 3 right parenthesis end cell cell negative 1 left parenthesis negative 1 right parenthesis plus 0 left parenthesis 2 right parenthesis end cell row cell 0 left parenthesis negative 4 right parenthesis plus left parenthesis 1 right parenthesis 0 end cell cell 0 left parenthesis negative 3 right parenthesis plus left parenthesis 1 right parenthesis left parenthesis 3 right parenthesis end cell cell 0 left parenthesis negative 1 right parenthesis plus left parenthesis 1 right parenthesis left parenthesis 2 right parenthesis end cell end table close square brackets equals open square brackets table attributes columnalign left end attributes row 4 3 1 row 0 3 2 end table close square brackets

      Grade9
      Mathematics

      Use matrix multiplication to find the image. Graph the polygon and its image.
      Reflect open square brackets table row cell negative 4 end cell cell negative 3 end cell cell negative 1 end cell row 0 3 2 end table close square brackets in the x-axis.

      Therefore, the required matrix is:
      open square brackets table row 1 0 row 0 cell negative 1 end cell end table close square brackets open square brackets table row cell negative 4 end cell cell negative 3 end cell cell negative 1 end cell row 0 3 2 end table close square brackets equals open square brackets table row cell 1 left parenthesis negative 4 right parenthesis plus 0 left parenthesis 0 right parenthesis end cell cell 1 left parenthesis negative 3 right parenthesis plus 0 left parenthesis 3 right parenthesis end cell cell 1 left parenthesis negative 1 right parenthesis plus 0 left parenthesis 2 right parenthesis end cell row cell 0 left parenthesis negative 4 right parenthesis plus left parenthesis negative 1 right parenthesis 0 end cell cell 0 left parenthesis negative 3 right parenthesis plus left parenthesis negative 1 right parenthesis left parenthesis 3 right parenthesis end cell cell 0 left parenthesis negative 1 right parenthesis plus left parenthesis negative 1 right parenthesis left parenthesis 2 right parenthesis end cell end table close square brackets equals open square brackets table row cell negative 4 end cell cell negative 3 end cell cell negative 1 end cell row 0 cell negative 3 end cell cell negative 2 end cell end table close square brackets

      Use matrix multiplication to find the image. Graph the polygon and its image.
      Reflect open square brackets table row cell negative 4 end cell cell negative 3 end cell cell negative 1 end cell row 0 3 2 end table close square brackets in the x-axis.

      MathematicsGrade9

      Therefore, the required matrix is:
      open square brackets table row 1 0 row 0 cell negative 1 end cell end table close square brackets open square brackets table row cell negative 4 end cell cell negative 3 end cell cell negative 1 end cell row 0 3 2 end table close square brackets equals open square brackets table row cell 1 left parenthesis negative 4 right parenthesis plus 0 left parenthesis 0 right parenthesis end cell cell 1 left parenthesis negative 3 right parenthesis plus 0 left parenthesis 3 right parenthesis end cell cell 1 left parenthesis negative 1 right parenthesis plus 0 left parenthesis 2 right parenthesis end cell row cell 0 left parenthesis negative 4 right parenthesis plus left parenthesis negative 1 right parenthesis 0 end cell cell 0 left parenthesis negative 3 right parenthesis plus left parenthesis negative 1 right parenthesis left parenthesis 3 right parenthesis end cell cell 0 left parenthesis negative 1 right parenthesis plus left parenthesis negative 1 right parenthesis left parenthesis 2 right parenthesis end cell end table close square brackets equals open square brackets table row cell negative 4 end cell cell negative 3 end cell cell negative 1 end cell row 0 cell negative 3 end cell cell negative 2 end cell end table close square brackets

      Grade9
      Mathematics

      Find point C on the x-axis, so AC + BC is a minimum.
      A(-2, 3), B (5, -3)

      A straight line is defined as the shortest distance between two points. I've graphed the two points given, and we're looking for point C, which is located on the X-axis. So, let's solve the equation of the line connecting points A and B. We begin by finding the slope. As a result, two minus Y is one over X. One less than two. So we can now write an equation in point-slope form by selecting one of the points. I'll go with point B because it is entirely positive. The point on the X-axis with the shortest distance between A and B. That's a C + B. C represents the total distance. So, a straight line will be formed by the shortest distance.

      Find point C on the x-axis, so AC + BC is a minimum.
      A(-2, 3), B (5, -3)

      MathematicsGrade9

      A straight line is defined as the shortest distance between two points. I've graphed the two points given, and we're looking for point C, which is located on the X-axis. So, let's solve the equation of the line connecting points A and B. We begin by finding the slope. As a result, two minus Y is one over X. One less than two. So we can now write an equation in point-slope form by selecting one of the points. I'll go with point B because it is entirely positive. The point on the X-axis with the shortest distance between A and B. That's a C + B. C represents the total distance. So, a straight line will be formed by the shortest distance.

      parallel
      Grade9
      Mathematics

      Find point C on the x-axis, so AC + BC is minimum.
      A(3, 4), B (-3, 6)

      Coordinate Geometry Terms
      • Coordinate Geometry: This is one of The branches of geometry in which a point's position is defined using coordinates.
      • Coordinates: Coordinates are a set of values that help to determine the exact location of a point in the coordinate plane.
      • Coordinate Plane: The two-dimensional plane formed by intersecting two perpendicular lines, the x-axis, and y-axis, is known as Coordinate Plane.
      • Distance Formula: The distance is used to calculate the length between two points in A(x1,y1) and B(x2,y2).
      • Section Formula: It is used to divide any line into two parts in an m:n ratio.
      • Mid-Point Theorem: Mid-Point Theorem formula determines the coordinates at which a line is divided into two halves.

      Find point C on the x-axis, so AC + BC is minimum.
      A(3, 4), B (-3, 6)

      MathematicsGrade9

      Coordinate Geometry Terms
      • Coordinate Geometry: This is one of The branches of geometry in which a point's position is defined using coordinates.
      • Coordinates: Coordinates are a set of values that help to determine the exact location of a point in the coordinate plane.
      • Coordinate Plane: The two-dimensional plane formed by intersecting two perpendicular lines, the x-axis, and y-axis, is known as Coordinate Plane.
      • Distance Formula: The distance is used to calculate the length between two points in A(x1,y1) and B(x2,y2).
      • Section Formula: It is used to divide any line into two parts in an m:n ratio.
      • Mid-Point Theorem: Mid-Point Theorem formula determines the coordinates at which a line is divided into two halves.

      Grade9
      Mathematics

      What is the line of reflection for triangle A B C and its image?

      From the graph, the line of reflection is x-axis.

      What is the line of reflection for triangle A B C and its image?

      MathematicsGrade9

      From the graph, the line of reflection is x-axis.

      Grade9
      Mathematics

      What is the line of reflection for triangle A B C and its image?

      From the graph, the line of reflection is y = x.

      What is the line of reflection for triangle A B C and its image?

      MathematicsGrade9

      From the graph, the line of reflection is y = x.

      parallel
      Grade9
      Mathematics

      The matrix open square brackets table row 1 0 row 0 cell negative 1 end cell end table close square brackets show the reflection in

      The reflection matrix in the x-axis = open square brackets table row 1 0 row 0 cell negative 1 end cell end table close square brackets

      The matrix open square brackets table row 1 0 row 0 cell negative 1 end cell end table close square brackets show the reflection in

      MathematicsGrade9

      The reflection matrix in the x-axis = open square brackets table row 1 0 row 0 cell negative 1 end cell end table close square brackets

      Grade9
      Mathematics

      The matrix open square brackets table row cell negative 1 end cell 0 row 0 1 end table close square brackets show the reflection in

      * The reflection matrix in the y-axis = open square brackets table row cell negative 1 end cell 0 row 0 1 end table close square brackets

      The matrix open square brackets table row cell negative 1 end cell 0 row 0 1 end table close square brackets show the reflection in

      MathematicsGrade9

      * The reflection matrix in the y-axis = open square brackets table row cell negative 1 end cell 0 row 0 1 end table close square brackets

      Grade9
      Mathematics

      Write the matrix for the polygon.

      The required matrix is:
      space space space space A space space space space B space space    C space space space space space D open square brackets table row cell negative 3 end cell 1 cell negative 2 end cell cell negative 4 end cell row 2 cell negative 1 end cell cell negative 2 end cell cell negative 1 end cell end table close square brackets

      Write the matrix for the polygon.

      MathematicsGrade9

      The required matrix is:
      space space space space A space space space space B space space    C space space space space space D open square brackets table row cell negative 3 end cell 1 cell negative 2 end cell cell negative 4 end cell row 2 cell negative 1 end cell cell negative 2 end cell cell negative 1 end cell end table close square brackets

      parallel
      Grade9
      Mathematics

      Write the matrix for the polygon.

      The required matrix is:
      space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space A    B    C M a t r i x space o f space t h e space p o l y g o n space equals open square brackets table row cell negative 6 end cell cell negative 5 end cell cell negative 3 end cell row cell negative 4 end cell cell negative 1 end cell cell negative 2 end cell end table close square brackets

      Write the matrix for the polygon.

      MathematicsGrade9

      The required matrix is:
      space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space A    B    C M a t r i x space o f space t h e space p o l y g o n space equals open square brackets table row cell negative 6 end cell cell negative 5 end cell cell negative 3 end cell row cell negative 4 end cell cell negative 1 end cell cell negative 2 end cell end table close square brackets

      Grade9
      Mathematics

      Use matrix multiplication to find the image. Graph the polygon and its image.
      Reflect open square brackets table attributes columnalign center center right center end attributes row 2 6 5 2 row cell negative 2 end cell cell negative 3 end cell cell negative 8 end cell cell negative 5 end cell end table close square brackets in the y-axis.

      The required matrix for the image is:
      open square brackets table row cell negative 1 end cell 0 row 0 1 end table close square brackets open square brackets table row 2 6 5 2 row cell negative 2 end cell cell negative 3 end cell cell negative 8 end cell cell negative 5 end cell end table close square brackets equals open square brackets table row cell left parenthesis negative 1 right parenthesis left parenthesis 2 right parenthesis plus 0 left parenthesis negative 2 right parenthesis end cell cell left parenthesis negative 1 right parenthesis left parenthesis 6 right parenthesis plus 0 left parenthesis negative 3 right parenthesis end cell cell left parenthesis negative 1 right parenthesis left parenthesis 5 right parenthesis plus 0 left parenthesis negative 8 right parenthesis end cell cell left parenthesis negative 1 right parenthesis left parenthesis 2 right parenthesis plus 0 left parenthesis negative 5 right parenthesis end cell row cell 0 left parenthesis 2 right parenthesis plus 1 left parenthesis negative 2 right parenthesis end cell cell 0 left parenthesis 6 right parenthesis plus 1 left parenthesis negative 3 right parenthesis end cell cell 0 left parenthesis 5 right parenthesis plus 1 left parenthesis negative 8 right parenthesis end cell cell 0 left parenthesis 2 right parenthesis plus 1 left parenthesis negative 5 right parenthesis end cell end table close square brackets equals open square brackets table attributes columnalign center center right left end attributes row cell negative 2 end cell cell negative 6 end cell cell negative 5 end cell cell negative 2 end cell row cell negative 2 end cell cell negative 3 end cell cell negative 8 end cell cell negative 5 end cell end table close square brackets

      Use matrix multiplication to find the image. Graph the polygon and its image.
      Reflect open square brackets table attributes columnalign center center right center end attributes row 2 6 5 2 row cell negative 2 end cell cell negative 3 end cell cell negative 8 end cell cell negative 5 end cell end table close square brackets in the y-axis.

      MathematicsGrade9

      The required matrix for the image is:
      open square brackets table row cell negative 1 end cell 0 row 0 1 end table close square brackets open square brackets table row 2 6 5 2 row cell negative 2 end cell cell negative 3 end cell cell negative 8 end cell cell negative 5 end cell end table close square brackets equals open square brackets table row cell left parenthesis negative 1 right parenthesis left parenthesis 2 right parenthesis plus 0 left parenthesis negative 2 right parenthesis end cell cell left parenthesis negative 1 right parenthesis left parenthesis 6 right parenthesis plus 0 left parenthesis negative 3 right parenthesis end cell cell left parenthesis negative 1 right parenthesis left parenthesis 5 right parenthesis plus 0 left parenthesis negative 8 right parenthesis end cell cell left parenthesis negative 1 right parenthesis left parenthesis 2 right parenthesis plus 0 left parenthesis negative 5 right parenthesis end cell row cell 0 left parenthesis 2 right parenthesis plus 1 left parenthesis negative 2 right parenthesis end cell cell 0 left parenthesis 6 right parenthesis plus 1 left parenthesis negative 3 right parenthesis end cell cell 0 left parenthesis 5 right parenthesis plus 1 left parenthesis negative 8 right parenthesis end cell cell 0 left parenthesis 2 right parenthesis plus 1 left parenthesis negative 5 right parenthesis end cell end table close square brackets equals open square brackets table attributes columnalign center center right left end attributes row cell negative 2 end cell cell negative 6 end cell cell negative 5 end cell cell negative 2 end cell row cell negative 2 end cell cell negative 3 end cell cell negative 8 end cell cell negative 5 end cell end table close square brackets

      Grade9
      Mathematics

      Use matrix multiplication to find the image. Graph the polygon and its image.
      Reflect open square brackets table attributes columnalign center center right center end attributes row 2 6 5 2 row cell negative 2 end cell cell negative 3 end cell cell negative 8 end cell cell negative 5 end cell end table close square brackets in the x-axis.

      The matrix representation of the image :
      open square brackets table row 1 0 row 0 cell negative 1 end cell end table close square brackets open square brackets table row 2 6 5 2 row cell negative 2 end cell cell negative 3 end cell cell negative 8 end cell cell negative 5 end cell end table close square brackets equals open square brackets table row cell 1 left parenthesis 2 right parenthesis plus 0 left parenthesis negative 2 right parenthesis end cell cell 1 left parenthesis 6 right parenthesis plus 0 left parenthesis negative 3 right parenthesis end cell cell 1 left parenthesis 5 right parenthesis plus 0 left parenthesis negative 8 right parenthesis end cell cell 1 left parenthesis 2 right parenthesis plus 0 left parenthesis negative 5 right parenthesis end cell row cell 0 left parenthesis 2 right parenthesis plus left parenthesis negative 1 right parenthesis left parenthesis negative 2 right parenthesis end cell cell 0 left parenthesis 6 right parenthesis plus left parenthesis negative 1 right parenthesis left parenthesis negative 3 right parenthesis end cell cell 0 left parenthesis 5 right parenthesis plus left parenthesis negative 1 right parenthesis left parenthesis negative 8 right parenthesis end cell cell 0 left parenthesis 2 right parenthesis plus left parenthesis negative 1 right parenthesis left parenthesis negative 5 right parenthesis end cell end table close square brackets equals open square brackets table attributes columnalign center center right left end attributes row 2 6 5 2 row cell negative 2 end cell cell negative 3 end cell cell negative 8 end cell cell negative 5 end cell end table close square brackets

      Use matrix multiplication to find the image. Graph the polygon and its image.
      Reflect open square brackets table attributes columnalign center center right center end attributes row 2 6 5 2 row cell negative 2 end cell cell negative 3 end cell cell negative 8 end cell cell negative 5 end cell end table close square brackets in the x-axis.

      MathematicsGrade9

      The matrix representation of the image :
      open square brackets table row 1 0 row 0 cell negative 1 end cell end table close square brackets open square brackets table row 2 6 5 2 row cell negative 2 end cell cell negative 3 end cell cell negative 8 end cell cell negative 5 end cell end table close square brackets equals open square brackets table row cell 1 left parenthesis 2 right parenthesis plus 0 left parenthesis negative 2 right parenthesis end cell cell 1 left parenthesis 6 right parenthesis plus 0 left parenthesis negative 3 right parenthesis end cell cell 1 left parenthesis 5 right parenthesis plus 0 left parenthesis negative 8 right parenthesis end cell cell 1 left parenthesis 2 right parenthesis plus 0 left parenthesis negative 5 right parenthesis end cell row cell 0 left parenthesis 2 right parenthesis plus left parenthesis negative 1 right parenthesis left parenthesis negative 2 right parenthesis end cell cell 0 left parenthesis 6 right parenthesis plus left parenthesis negative 1 right parenthesis left parenthesis negative 3 right parenthesis end cell cell 0 left parenthesis 5 right parenthesis plus left parenthesis negative 1 right parenthesis left parenthesis negative 8 right parenthesis end cell cell 0 left parenthesis 2 right parenthesis plus left parenthesis negative 1 right parenthesis left parenthesis negative 5 right parenthesis end cell end table close square brackets equals open square brackets table attributes columnalign center center right left end attributes row 2 6 5 2 row cell negative 2 end cell cell negative 3 end cell cell negative 8 end cell cell negative 5 end cell end table close square brackets

      parallel
      Grade9
      Mathematics

      Find point C on the x-axis, so AC + BC is minimum.
      A(2, 3), B (-3, -3)

      Since, the point lies on the x-axis. Then, the intersection of the line A'B and the x-axis gives the required point

      Find point C on the x-axis, so AC + BC is minimum.
      A(2, 3), B (-3, -3)

      MathematicsGrade9

      Since, the point lies on the x-axis. Then, the intersection of the line A'B and the x-axis gives the required point

      Grade9
      Mathematics

      Find point C on the x-axis, so AC + BC is minimum.
      A(2, -3), B (3, -5)

      Since, the point lies on the x-axis. Then, the intersection of the line A'B and the x-axis gives the required point.

      Find point C on the x-axis, so AC + BC is minimum.
      A(2, -3), B (3, -5)

      MathematicsGrade9

      Since, the point lies on the x-axis. Then, the intersection of the line A'B and the x-axis gives the required point.

      Grade9
      Mathematics

      What is the line of reflection for triangle A B C and its image?

      From the graph, the line of reflection is y = 3.

      What is the line of reflection for triangle A B C and its image?

      MathematicsGrade9

      From the graph, the line of reflection is y = 3.

      parallel

      card img

      With Turito Academy.

      card img

      With Turito Foundation.

      card img

      Get an Expert Advice From Turito.

      Turito Academy

      card img

      With Turito Academy.

      Test Prep

      card img

      With Turito Foundation.