Question
What is the line of reflection for 
and its image?
- x-axis
- y-axis
- y = x
- y = -x
Hint:
Compare the distances between the points and then retrieve the line of reflection.
The correct answer is: y = x
* 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:
>>>From figure:
the points of reflection for the vertices of a triangle A(-6,-4);B(-5,-1);C(-3,-2) is A'(-4,-6);B'(-1,-5);C'(-2,-3).
>>>The points of reflection are in the form of (a, b) is transformed to (b, a). It can be done by using y=x line.
>>>Therefore, the line of reflection for the given graph is y=x line.
From the graph, the line of reflection is y = x.
Related Questions to study
Find the reflection matrix on the x-axis.
The reflection matrix on the x-axis = 
Find the reflection matrix on the x-axis.
The reflection matrix on the x-axis =
Write the matrix for the polygon.
From the graph, the coordinates of polygon are A(0, 2), B(0, 4), C(3, 5), and D(3, 1)
Write the matrix for the polygon.
From the graph, the coordinates of polygon are A(0, 2), B(0, 4), C(3, 5), and D(3, 1)
Find the image coordinates of the triangle ABC, if A (-4,0), B (-3,3) and C (-1,2), which is reflected along y-axis.
If (a, b) is reflected in the y-axis, its image is the point (-a, b).
(a, b) → (-a, b)
A (-4, 0) → A’ (4, 0)
B (-3, 3) → B’ (3, 3)
C (-1, 2) → C’ (1, 2)
Image coordinates of the triangle ABC are A’ (4, 0), B’ (3, 3) and C’ (1, 2).
Find the image coordinates of the triangle ABC, if A (-4,0), B (-3,3) and C (-1,2), which is reflected along y-axis.
If (a, b) is reflected in the y-axis, its image is the point (-a, b).
(a, b) → (-a, b)
A (-4, 0) → A’ (4, 0)
B (-3, 3) → B’ (3, 3)
C (-1, 2) → C’ (1, 2)
Image coordinates of the triangle ABC are A’ (4, 0), B’ (3, 3) and C’ (1, 2).
Find the image coordinates of the line AB, if A (6, 4) and B (6,1), which is reflected along y = -x
If (a, b) is reflected in the line y = -x, its image is the point (-b, -a).
(a, b) → (b, a)
A(6, 4) → A’(-4, -6)
B (6,1) → B’(-1, -6)
Image of the line A’( -4, -6), B’( -1, -6)
Find the image coordinates of the line AB, if A (6, 4) and B (6,1), which is reflected along y = -x
If (a, b) is reflected in the line y = -x, its image is the point (-b, -a).
(a, b) → (b, a)
A(6, 4) → A’(-4, -6)
B (6,1) → B’(-1, -6)
Image of the line A’( -4, -6), B’( -1, -6)
Find the image coordinates of the line AB, if A (6, 4) and B (6, 1), which is reflected along y = x
If (a, b) is reflected in the line y = x, its image is the point (b, a).
(a, b) → (b, a)
A (6, 4) → A’ (4, 6)
B (6, 1) → B’ (1, 6)
Image of line A’ (4, 6), B’ (1, 6)
Find the image coordinates of the line AB, if A (6, 4) and B (6, 1), which is reflected along y = x
If (a, b) is reflected in the line y = x, its image is the point (b, a).
(a, b) → (b, a)
A (6, 4) → A’ (4, 6)
B (6, 1) → B’ (1, 6)
Image of line A’ (4, 6), B’ (1, 6)
Graph the reflection of the polygon in the given line: y = -x
If (a, b) is reflected in the line y = -x, its image is the point (-b, -a).
(a, b) → (-b, -a)
A (-6, -4) → (4, 6)
B (-5, -1) → (1, 5)
C (-3, -2) → (2, 3)
Graph the reflection of the polygon in the given line: y = -x
If (a, b) is reflected in the line y = -x, its image is the point (-b, -a).
(a, b) → (-b, -a)
A (-6, -4) → (4, 6)
B (-5, -1) → (1, 5)
C (-3, -2) → (2, 3)
Graph the reflection of the polygon in the given line: y = x
If (a, b) is reflected in the line y = x, its image is the point (b, a).
(a, b) → (b, a)
A (-6, -4) → (-4, -6)
B (-5, -1) → ( -1, -5)
C (-3, -2) → (-2, -3)
Graph the reflection of the polygon in the given line: y = x
If (a, b) is reflected in the line y = x, its image is the point (b, a).
(a, b) → (b, a)
A (-6, -4) → (-4, -6)
B (-5, -1) → ( -1, -5)
C (-3, -2) → (-2, -3)
The vertices of a triangle are A (2, 3), B (6, 1) and C (7, 5). Graph the reflection of the triangle ABC in the given line y = 3
Point A is on the line, so its reflection is also on the same line (2, 3)
Point B is 2 units below the line, so its reflection is 2 units above the line at B’ (6, 5).
Point C is 2 units above the line, so its reflection is 2 units below the line at C’ (7, 1).
The vertices of a triangle are A (2, 3), B (6, 1) and C (7, 5). Graph the reflection of the triangle ABC in the given line y = 3
Point A is on the line, so its reflection is also on the same line (2, 3)
Point B is 2 units below the line, so its reflection is 2 units above the line at B’ (6, 5).
Point C is 2 units above the line, so its reflection is 2 units below the line at C’ (7, 1).
The vertices of a triangle are A(2,3), B (6,1) and C(7,5). Graph the reflection of the triangle ABC in the given line x-axis.
Point A is 2 units above the line, so its reflection is 2 units below the line at A’ (2, -3).
Point B is 1 unit above the line, so its reflection is 1 unit below the line at B’ (6, -1).
Point C is 5 units above the line, so its reflection is 5 units below the line at C’ (7, -5).
The vertices of a triangle are A(2,3), B (6,1) and C(7,5). Graph the reflection of the triangle ABC in the given line x-axis.
Point A is 2 units above the line, so its reflection is 2 units below the line at A’ (2, -3).
Point B is 1 unit above the line, so its reflection is 1 unit below the line at B’ (6, -1).
Point C is 5 units above the line, so its reflection is 5 units below the line at C’ (7, -5).
Graph the image of the triangle ABC, if A (-4, 0), B (-3, 3) and C (-1, 2), which is reflected along y= -x.
If (a, b) is reflected in the line y = -x, its image is the point (-b, -a).
(a, b) → (-b, -a)
A (-4, 0) → A’(0,4)
B(-3, 3) → B’(-3, 3)
C(-1, 2) → C’(-2, 1)
Image coordinates of the triangle ABC are A’(0,4), B’(-3, 3) and C’(-2, 1).
Graph the image of the triangle ABC, if A (-4, 0), B (-3, 3) and C (-1, 2), which is reflected along y= -x.
If (a, b) is reflected in the line y = -x, its image is the point (-b, -a).
(a, b) → (-b, -a)
A (-4, 0) → A’(0,4)
B(-3, 3) → B’(-3, 3)
C(-1, 2) → C’(-2, 1)
Image coordinates of the triangle ABC are A’(0,4), B’(-3, 3) and C’(-2, 1).
Find the image coordinates of the triangle ABC, if A (-4, 0), B (-3, 3) and C (-1, 2), which is reflected along x-axis.
If (a, b) is reflected in the x-axis, its image is the point (a, -b).
(a, b) → (a, -b)
A (-4, 0) → A’ (-4, 0)
B (-3, 3) → B’ (-3, -3)
C (-1, 2) → C’ (-1, -2)
Image coordinates of the triangle ABC are A’ (-4, 0), B’ (-3, -3) and C’ (-1, -2).
Find the image coordinates of the triangle ABC, if A (-4, 0), B (-3, 3) and C (-1, 2), which is reflected along x-axis.
If (a, b) is reflected in the x-axis, its image is the point (a, -b).
(a, b) → (a, -b)
A (-4, 0) → A’ (-4, 0)
B (-3, 3) → B’ (-3, -3)
C (-1, 2) → C’ (-1, -2)
Image coordinates of the triangle ABC are A’ (-4, 0), B’ (-3, -3) and C’ (-1, -2).
Find the image coordinates of the triangle ABC, if A (-4, 0), B (-3, 3) and C (-1, 2), which is reflected along y = -x.
If (a, b) is reflected in the line y = -x, its image is the point (-b, -a).
(a, b) → (-b, -a)
A (-4, 0) → A’ (0, 4)
B (-3, 3) → B’ (-3, 3)
C (-1, 2) → C’ (-2, 1)
Image coordinates of the triangle ABC are A’ (0, 4), B’ (-3, 3) and C’ (-2, 1).
Find the image coordinates of the triangle ABC, if A (-4, 0), B (-3, 3) and C (-1, 2), which is reflected along y = -x.
If (a, b) is reflected in the line y = -x, its image is the point (-b, -a).
(a, b) → (-b, -a)
A (-4, 0) → A’ (0, 4)
B (-3, 3) → B’ (-3, 3)
C (-1, 2) → C’ (-2, 1)
Image coordinates of the triangle ABC are A’ (0, 4), B’ (-3, 3) and C’ (-2, 1).
Find the image coordinates of the line AB, if A (3, 2) and B (5, 2), which is reflected along y -axis.
If (a, b) is reflected in the y-axis, its image is the point (-a, b).
A (3, 2) → A’ (-3, 2)
B (5, 2) → B’ (-5, 2)
Image of the line A’ (-3, 2), B’ ( -5, 2)
Find the image coordinates of the line AB, if A (3, 2) and B (5, 2), which is reflected along y -axis.
If (a, b) is reflected in the y-axis, its image is the point (-a, b).
A (3, 2) → A’ (-3, 2)
B (5, 2) → B’ (-5, 2)
Image of the line A’ (-3, 2), B’ ( -5, 2)
Graph the reflection of the polygon in the given line: y = -3
Point A is 1 unit below the line, so its reflection is 1 unit above the line at A’ (-6, -2).
Point B is 2 units above the line, so its reflection is 2 units below the line at B’ (-5, -5).
Point C is 1 unit above the line, so its reflection is 1 unit below the line at C’ (-3, -4).
Graph the reflection of the polygon in the given line: y = -3
Point A is 1 unit below the line, so its reflection is 1 unit above the line at A’ (-6, -2).
Point B is 2 units above the line, so its reflection is 2 units below the line at B’ (-5, -5).
Point C is 1 unit above the line, so its reflection is 1 unit below the line at C’ (-3, -4).
The vertices of a triangle are A (2,3), B (6,1) and C (7,5). Graph the reflection of the triangle ABC in the given line y-axis.
Point A is 2 units to the right of the line, so its reflection is 2 units to the left of the line at A’ (-2,3).
Point B is 6 units to the right of the line, so its reflection is 6 units to the left of the line at B’ (-6,1).
Point C is 7 units to the right of the line, so its reflection is 7 units to the left of the line at C’ (-7, 5).
The vertices of a triangle are A (2,3), B (6,1) and C (7,5). Graph the reflection of the triangle ABC in the given line y-axis.
Point A is 2 units to the right of the line, so its reflection is 2 units to the left of the line at A’ (-2,3).
Point B is 6 units to the right of the line, so its reflection is 6 units to the left of the line at B’ (-6,1).
Point C is 7 units to the right of the line, so its reflection is 7 units to the left of the line at C’ (-7, 5).
