AnswersPARTA - EOP PGCPS GEOMETRY OC FALL2026 - 793413Slopes of Parallel and Perpendicular Lines

Reflections Answers

16 verified answers5 views
1
Free Preview

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)
2
Free Preview

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
3

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
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

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

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'.
7

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
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

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)
10

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)
11

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
12

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
B
a reflection of the point across the y-axis
C
a reflection of the point across the line y = x
D
a reflection of the point across the line y = –x
13

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)
14

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'
15

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.
16

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)
17

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)
18

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

Did you find these answers helpful?

More from this Course

Quiz
21 verified answers

Translations

Quiz
15 verified answers

Slopes of Parallel and Perpendicular Lines

Quiz
15 verified answers

Slopes of Parallel and Perpendicular Lines