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Reflections Answers

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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
2
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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)
3

On a coordinate plane, 2 triangles are shown. The first triangle has points M (negative 5, 4), N (negative 2, 3), and L (negative 4, 2). The second triangle has points L prime (negative 4, negative 2), M prime (negative 5, negative 4), and N prime (negative 2, negative 3).

Question illustration
r
rx-axis(x, y) → (–x, y)
r
ry-axis(x, y) → (–x, y)
r
rx-axis(x, y) → (x, –y)
r
ry-axis(x, y) → (x, –y)
4

Figure ABCD was reflected across the x-axis to create figure A'B'C'D'.

Question illustration
A
(2, –8)
B
(–8, –2)
C
(–2, 8)
D
(8, 2)
5

For to be the line of reflection between and , which statements must be true? Select three options.

Question illustration
A
BD = DB'
B
DF = FG
C
m∠EFA = 90°
D
The line of reflection, EH, is the perpendicular bisector of BB', AA', and CC'.
E
ΔABC is not congruent to ΔA'B'C'.
6

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)
7

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'
8

A point has the coordinates (0, k).Which reflection of the point will produce an image at the same coordinates, (0, k)?

a
a reflection of the point across the x-axis
a
a reflection of the point across the y-axis
a
a reflection of the point across the line y = x
a
a reflection of the point across the line y = –x
9

On a coordinate plane, 2 triangles are shown. The first triangle has points A (negative 2, 1), C (negative 4, 1), and B (negative 3, 4). The second triangle has points A prime (1, negative 2), B prime (4, negative 3), and C prime (1, negative 4).

Question illustration
A
ry=x(x, y) → (–y, –x)
B
ry=–x(x, y) → (–y, –x)
C
ry=x(x, y) → (y, x)
D
ry=–x(x, y) → (y, x)
10

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
11

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'
12

On a coordinate plane, a triangle has points A prime (6, 8), B prime (10, negative 6), and C prime (6, negative 6).

Question illustration
A
(–8, –6)
B
(–6, 8)
C
(8, 6)
D
(6, –8)
13

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)
14

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
15

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
16

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
17

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
18

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)
19

Which statements must be true about the image of ΔMNP after a reflection across ? Select three options.

Question illustration
A
The image will be congruent to ΔMNP.
B
The orientation of the image will be the same as the orientation of ΔMNP.
C
will be perpendicular to the line segments connecting the corresponding vertices.
Option C
D
The line segments connecting the corresponding vertices will all be congruent to each other.
E
The line segments connecting corresponding vertices will all be parallel to each other.
20

For to be the line of reflection between and , which statements must be true? Select three options.

Question illustration
A
BD = DB'
B
DF = FG
C
m∠EFA = 90°
D
The line of reflection, EH, is the perpendicular bisector of BB', AA', and CC'.
E
ΔABC is not congruent to ΔA'B'C'.

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