Reflections Answers

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Figure ABCDEF was reflected across the line y = –x to create figure A'B'C'D'E'F'.

Question illustration
A
(–2, 4)
B
(4, 2)
C
(2, –4)
D
(–4, –2)
2
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The image of ΔABC after a reflection across is ΔA'B'C'.

Question illustration
A
ΔA'B'C' is right because it is the image of ΔABC.
B
ΔADC is right because AA' intersects AC at A.
C
ΔBCC' is right because B lies of the line of reflection.
D
ΔBGC is right because CC'.
Option D
3

The image of trapezoid PQRS after a reflection across is trapezoid P'Q'R'S'.

Question illustration
A
RR' = 2SS'
B
RR' = 4SS'
C
RR' || SS'
D
RR' SS'
Option D
4

Which statements must be true about the reflection of ΔXYZ across ? Select three options.

Question illustration
A
m∠X'Z'Y' = 90°
B
m∠MCY = 90°
C
XX' ≅ YY'
D
BZ' ≅ BZ
E
XY || X'Y'
5

On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a positive slope and has a formula of y = x. The parallelogram has points E (3, negative 3), F (5, negative 3), H (2, negative 5), and G (4, negative 5).

Question illustration
A
(–4, –5)
B
(4, 5)
C
(–5, 4)
D
(5, –4)
6

On a coordinate plane, a triangle has points F (3, 4), D (5, negative 3), and E (1, negative 2).

Question illustration
A
(5, 3)
B
(–5, –3)
C
(–3, 5)
D
(3, –5)
7

The image of parallelogram PQRS after a reflection across is parallelogram P'Q'R'S'.

Question illustration
A
3
B
6
C
12
D
18
8

The image of ΔABC after a reflection across is ΔA'B'C'.

Question illustration
A
F is the midpoint of AA' because bisects AA'.
Option A
B
F is the midpoint of EG because AA' bisects EG.
C
F is the midpoint of AA' because AA' bisects EG.
D
F is the midpoint of EG because bisects AA'.
Option D
9

A line segment has endpoints at (–4, –6) and (–6, 4). Which reflection will produce an image with endpoints at (4, –6) and (6, 4)?

A
a reflection of the line segment across the x-axis
B
a reflection of the line segment across the y-axis
C
a reflection of the line segment across the line y = x
D
a reflection of the line segment across the line y = –x
10

Which point would map onto itself after a reflection across the line y = –x?

A
(–4, –4)
B
(–4, 0)
C
(0, –4)
D
(4, –4)

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