Reflections Answers

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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
2
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Triangle PQR is reflected across a line, P = (4,–5), and P’ = (–4, –5). What is the line of reflection?

A
the x-axis
B
the y-axis
C
the line y = x
D
the line y = –x
3

Triangle XYZ is reflected across the y-axis, and X = (4, –5). What are the coordinates of X’ ?

A
(–5, 4)
B
(–4, –5)
C
(4, 5)
D
(–4, 5)
4

What is the equation for the line of reflection?

Question illustration
A
x = 3
B
y = 3
C
y = x
D
x = 6
5

What are the coordinates of A’ after reflecting across the line x = 3?

Question illustration
A
(2, 3)
B
(3, 2)
C
(3, 4)
D
(3, –2)
6

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
7

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
8

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.
9

What are the coordinates of D’ when the quadrilateral is reflected across the line ?

Question illustration
A
(1, 3)
B
(2, 4)
C
(3, 4)
D
(1, 1)
10

What is the equation for the line of reflection?

Question illustration
A
x = 6
B
y = 6
C
y = x
D
y = 2
11

Which graph shows a method for finding the image of point D if the parallelogram is reflected across the dashed line?

Question illustration
A
On a coordinate plane, parallelogram A B C D has points (1, 2), (3, 4), (8, 4), (6, 2). A dashed line goes through points A and C. A red dashed line is drawn from point B to point D. D prime = B.
Option A
B
On a coordinate plane, parallelogram A B C D has points (1, 2), (3, 4), (8, 4), (6, 2). A dashed line goes through points A and C. A red dashed line splits the image into 2 equals parts with length of 1.4 centimeters.
Option B
C
On a coordinate plane, parallelogram A B C D has points (1, 2), (3, 4), (8, 4), (6, 2). A dashed line goes through points A and C. Point D prime is at (2, 6).
Option C
D
On a coordinate plane, parallelogram A B C D has points (1, 2), (3, 4), (8, 4), (6, 2). A dashed line goes through points A and C. A vertical dashed line is drawn through the image.
Option D
12

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
13

Arionna needed to graph triangle PQR reflected across the y-axis. Her work is shown below. Arionna’s Work:Arionna’s GraphWhich statements identify her errors? Check all that apply.

Question illustration
A
Arionna did not find the correct point for P’. She should have negated the x-value, not the y-value.
B
Arionna did not find the correct value for Q’. All points in a reflection will move.
C
Arionna did not find the correct value for R’. She should have negated the y-value, not the x-value.
D
Arionna’s red triangle should be reflected below the horizontal axis rather than across the vertical axis.
E
Arionna switched the order of the coordinates of P’ (3, –7) when she graphed them.
14

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
15

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.

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