Question
What is the line of reflection for 
and its image?
- x-axis
- y-axis
- y = x
- y = -x
Hint:
General synopsis of reflection of a polygon with respect to x-axis.
The correct answer is: x-axis
* 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:
>>> The points of reflection for the vertices of triangle A(-4,0);B(-3,3);C(-1,2) are A'(-4,0);B'(-3,-3);C'(-1,-2).
>>>The point (a, b) is changed to (a, -b).
>>>Therefore, the line of reflection becomes x-axis.
From the graph, the line of reflection is x-axis.
Related Questions to study
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:
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:
