Question
Find point C on the x-axis, so AC + BC is a minimum.
A(-2, 3), B (5, -3)
- (1.3,0)
- (1.5, 0)
- (1.7, 0)
- (1.8, 0)
Hint:
The point of intersection of A'B and AB' is the required point. Where, A' is the image of A and B' is the image of B.
The correct answer is: (1.5, 0)
* In Geometry, a reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection.
*It is a type of transformation that produces mirror image of the shape.
Given That:
Find point C on the x-axis, so AC + BC is a minimum when A(-2, 3), B (5, -3).
* We know that A(-2,3), B (5, -3)
* We have to find the point C on the x-axis, so AC + BC is a minimum.
* First, plot the points in the coordinate system. The shortest distance from point A to point B gives the line that joins these two points.
* Now, join the line A to B; line AB intersects at the x-axis at point C.
* This point C is on the x-axis, so AC+ BC is minimum.
>>>The required graph is:
>>>Therefore, the required point is C(1.5,0).
Related Questions to study
Find point C on the x-axis, so AC + BC is minimum.
A(3, 4), B (-3, 6)
¶
- ¶
- 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)
¶
- ¶
- 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. ¶
What is the line of reflection for 
and its image?
From the graph, the line of reflection is x-axis.
What is the line of reflection for and its image?
From the graph, the line of reflection is x-axis.
What is the line of reflection for and its image?
From the graph, the line of reflection is y = x.
What is the line of reflection for and its image?
From the graph, the line of reflection is y = x.
The matrix 
show the reflection in
The reflection matrix in the x-axis =
The matrix show the reflection in
The reflection matrix in the x-axis =
The matrix 
show the reflection in
* The reflection matrix in the y-axis =
The matrix show the reflection in
* The reflection matrix in the y-axis =
Write the matrix for the polygon.
The required matrix is:
Write the matrix for the polygon.
The required matrix is:
Write the matrix for the polygon.
The required matrix is:
Write the matrix for the polygon.
The required matrix is:
Use matrix multiplication to find the image. Graph the polygon and its image.
Reflect 
in the y-axis.
The required matrix for the image is:
Use matrix multiplication to find the image. Graph the polygon and its image.
Reflect in the y-axis.
The required matrix for the image is:
Use matrix multiplication to find the image. Graph the polygon and its image.
Reflect in the x-axis.
The matrix representation of the image :
Use matrix multiplication to find the image. Graph the polygon and its image.
Reflect in the x-axis.
The matrix representation of the image :
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)
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)
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)
Since, the point lies on the x-axis. Then, the intersection of the line A'B and the x-axis gives the required point.
What is the line of reflection for and its image?
From the graph, the line of reflection is y = 3.
What is the line of reflection for and its image?
From the graph, the line of reflection is y = 3.
What is the line of reflection for and its image?
From the graph, the line of reflection is y = -x.
What is the line of reflection for and its image?
From the graph, the line of reflection is y = -x.
What is the line of reflection for and its image?
From the graph, the line of reflection is x-axis.
What is the line of reflection for and its image?
From the graph, the line of reflection is x-axis.
Find the reflection matrix on the y- axis.
The matrix representation for the reflection with respect to y-axis:
Find the reflection matrix on the y- axis.
The matrix representation for the reflection with respect to y-axis:
