Reflections Answers

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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
2
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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'
3

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)
4

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)
5

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.
6

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)
7

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)
9

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'.
10

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
11

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
A
rx-axis(x, y) → (–x, y)
B
ry-axis(x, y) → (–x, y)
C
rx-axis(x, y) → (x, –y)
D
ry-axis(x, y) → (x, –y)

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