Question
Use matrix multiplication to find the image. Graph the polygon and its image.
Reflect 
in the x-axis.
Hint:
Obtain the matrix for the image and then plot them on a graph.
The correct answer is:
* 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.
* Matrix representation is the efficient way for the transformation of points.
* Every vertex is placed in columns.
Given That:
Use matrix multiplication to find the image. Graph the polygon and its image.
Reflect in the x-axis.
>>>Let (a, b) be a point. Then, the point of reflection with respect to x-axis becomes (a, -b).
* We know that reflection matrix in the x-axis: 
>>The required graph is:
The matrix representation of the image :
Related Questions to study
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:
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 is:
Use matrix multiplication to find the image. Graph the polygon and its image. Reflect in the y - axis.
The required matrix is:
Use matrix multiplication to find the image. Graph the polygon and its image. Reflect
in the x - axis.
>>>Since, it is reflected on x-axis, the matrix multiplication looks like:
Use matrix multiplication to find the image. Graph the polygon and its image. Reflect
in the x - axis.
>>>Since, it is reflected on x-axis, the matrix multiplication looks like:
Find point C on the x-axis, so AC + BC is minimum.
A(4, -3), B (8, -5)
>>>Finding A'B line AB' line intersection point gives the point that gives minimum sum of AC and BC on x-axis.
>>>Therefore, the point of intersection becomes: C(5.5,0).
Find point C on the x-axis, so AC + BC is minimum.
A(4, -3), B (8, -5)
>>>Finding A'B line AB' line intersection point gives the point that gives minimum sum of AC and BC on x-axis.
>>>Therefore, the point of intersection becomes: C(5.5,0).
Find point C on the x-axis, so AC + BC is minimum.
A(2, 4), B (6, 2)
The point present in the x-axis. and also on the line image of A and point B.
>>>From the given data the point becomes (4.7,0)
Find point C on the x-axis, so AC + BC is minimum.
A(2, 4), B (6, 2)
The point present in the x-axis. and also on the line image of A and point B.
>>>From the given data the point becomes (4.7,0)
What is the line of reflection for and its image?
From the graph, the line of reflection is x= -1
What is the line of reflection for and its image?
From the graph, the line of reflection is x= -1
What is the line of reflection for and its image?
From the graph, the line of reflection is y-axis.
What is the line of reflection for and its image?
From the graph, the line of reflection is y-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.
