Question
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.
- A’(4, 0), B’(3, 3) and C’(1, 2)
- A’ (-4, 0), B’(3, 3) and C’(1, 2)
- A’(4, 0), B’(3, -3) and C’(1, 2)
- A’(4, 0), B’(3, 3) and C’(-1, 2)
Hint:
Plot the given points on the graph and then obtain the points of reflection.
The correct answer is: A’(4, 0), B’(3, 3) and C’(1, 2)
* 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.
The reflection transformation can be done in many ways.
*Reflection over X-axis
*Reflection over Y-axis
*Reflection over Y = X
Given That:
The image coordinates of the triangle ABC, if A (-4,0), B (-3,3) and C (-1,2), which is reflected along y-axis.
>>>let (a, b) be a point on the x-y plane. Then, the points of reflection with respect to y-axis becomes (-a, b).
>>>Therefore, the points of reflection for vertices of triangle A (-4,0), B (-3,3) and C (-1,2) becomes:
A'(4,0); B'(3,3); C'(1,2).
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).
Related Questions to study
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).
If (a, b) is reflected in the line y = -x, its image is the point ________.
If (a, b) is reflected in the line y = -x, its image is the point (-b, -a).
If (a, b) is reflected in the line y = -x, its image is the point ________.
If (a, b) is reflected in the line y = -x, its image is the point (-b, -a).
If (a, b) is reflected in the line y = x, its image is the point_________.
If (a, b) is reflected in the line y = x, its image is the point (b, a).
If (a, b) is reflected in the line y = x, its image is the point_________.
If (a, b) is reflected in the line y = x, its image is the point (b, a).
Graph the image 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).
Graph the image 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).
