Reflections Answers

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Arionna needed to graph triangle PQR reflected across the y-axis. Her work is shown below. Arionna’s Work:Arionna’s GraphWhich statements identify her errors? Check all that apply.

Question illustration
A
Arionna did not find the correct point for P’. She should have negated the x-value, not the y-value.
B
Arionna did not find the correct value for Q’. All points in a reflection will move.
C
Arionna did not find the correct value for R’. She should have negated the y-value, not the x-value.
D
Arionna’s red triangle should be reflected below the horizontal axis rather than across the vertical axis.
E
Arionna switched the order of the coordinates of P’ (3, –7) when she graphed them.
3

Which graph shows the image of the triangle reflected across the line of reflection shown?

Question illustration
A
On a coordinate plane, a triangle has points (negative 1, negative 3), (2, 4), (4, 2).
Option A
B
On a coordinate plane, a triangle has points (1, 4), (4, 2), (2, 0).
Option B
C
On a coordinate plane, a triangle has points (2, 0), (4, 2), (9, negative 2).
Option C
D
On a coordinate plane, a triangle has points (2, 2), (4, 4), (9, 0).
Option D
4

Which segment is the image of reflected across the line ?

Question illustration
A
Line segment A F
Option A
B
Line segment D C
Option B
C
Line segment G H
Option C
D
Line segment J K
Option D
7

Clayton needs to reflect the triangle below across the line . Which statements about the reflection are true? Check all that apply.

Question illustration
A
Clayton could use the relationship to find the points of the image.
Option A
B
Clayton could negate both the x and y values in the points to find the points of the image.
C
C’ will remain in the same location as C because it is on the line of reflection.
D
C’ will move because all points move in a reflection.
E
The image and the pre-image will be congruent triangles.
F
The image and pre-image will not have the same orientation because reflections flip figures.
9

Marissa wants to write an abbreviated set of directions for finding coordinates of a figure reflected across the y-axis. Which mapping notation is correct?

A
(x, y) right-arrow (negative x, y)
Option A
B
(x, y) right-arrow (x, negative y)
Option B
C
(x, y) right-arrow (negative x, negative y)
Option C
D
(x, y) right-arrow (y, x)
Option D

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