Reflections Answers

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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
3

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
4

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
5

Which statement correctly identifies the line of reflection?

Question illustration
A
The triangles are reflected across the x-axis.
B
The triangles are reflected across the y-axis.
C
The triangles are reflected across the line y = x.
D
The triangles are reflected across the line y = –x.
6

Gregory knows that is reflected onto . Which statement about the figures is true?

Question illustration
A
If Gregory draws the segment with endpoints A and A’, then the midpoint will lie on the line of reflection.
B
If Gregory draws the segment with endpoints B and C’, then the midpoint will be on the line of reflection.
C
Points A and B are equidistant from the line of reflection.
D
will be perpendicular to the line of reflection.
Option D
8

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.
11

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
12

Which choice shows the coordinates of B’ if the trapezoid is reflected across the x-axis?

Question illustration
A
(–7, 2)
B
(2, –7)
C
(7, –2)
D
(–2, 7)
13

Jorge needs to reflect a figure across the line . Which statements are correct regarding steps he could take to complete the reflection? Check all that apply.

Question illustration
A
Jorge should graph in the vertical line with values of –4 for the line of reflection.
B
Jorge could count how far each pre-image point is from the line of reflection along the perpendicular from the point to the line of reflection.
C
Jorge could count how far each vertex of the figure is from the y-axis and count the same distance on the other side.
D
Jorge will not move any point that lies on the line of reflection.
E
Jorge could check his work by seeing if each segment joining a pre-image point with its image has the midpoint on the line of reflection.
F
Jorge could check his work by making sure that the image has the same orientation as the original.
14

Which choice shows the coordinates of C’ if the trapezoid is reflected across the y-axis?

Question illustration
A
(–5, 3)
B
(3, –5)
C
(5, –3)
D
(–3, 5)
15

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
16

Which image is a reflection of the black polygon in quadrant I?

Question illustration
A
the black polygon in quadrant I
B
the red polygon in quadrant II
C
the blue polygon in quadrant III
D
the green polygon in quadrant IV
17

What is the equation for the line of reflection?

Question illustration
A
x = 3
B
y = 3
C
y = x
D
x = 6
18

What is the equation for the line of reflection?

Question illustration
A
x = 6
B
y = 6
C
y = x
D
y = 2

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