Compositions — Unit test Answers

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On a coordinate plane, 2 rectangles are shown. Rectangle P Q R S has points (1, 1), (1, 5), (3, 5), (1, 5). Rectangle P double-prime Q double-prime R double-prime S double-prime has points (negative 1, negative 1), (negative 5, negative 1), (negative 5, negative 3), (negative 1, negative 3).

Question illustration
A
270 degree rotation about point 0 composition. Translation of negative 2 units x, 0 units y.
Option A
B
Translation of negative 2 units x, 0 units y composition 270 degree rotate about point 0.
Option B
C
270 degree rotation about point 0 composition reflected across the y-axis
Option C
D
Reflected across the y-axis composition 270 degree rotation about point 0.
Option D
2
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Pentagon A B C D E is reflected across the line of reflection m to pentagon A prime B prime C prime D prime E prime. Pentagon A prime B prime C prime D prime E prime is rotated about point C prime 180 degrees clockwise.

Question illustration
A
90 degree rotation about point C prime composition reflected across line m
Option A
B
Reflected across line m composition 90 degree rotation about point C prime
Option B
C
180 degree rotation about point C prime composition reflected across line m
Option C
D
Reflected across line m composition 180 degree rotation about point C prime
Option D
3

The function rule T–4, 6(x, y) could be used to describe which translation?

A
a parallelogram on a coordinate plane that is translated 4 units down and 6 units to the right
B
a trapezoid on a coordinate plane that is translated 4 units to the left and 6 units up
C
a rhombus on a coordinate plane that is translated 4 units down and 6 units to the left
D
a rectangle on a coordinate plane that is translated 4 units to the right and 6 units up
4

A line segment has endpoints at (–1, 4) and (4, 1). Which reflection will produce an image with endpoints at (–4, 1) and (–1, –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
5

A clock is constructed using a regular polygon with 60 sides. The polygon rotates each minute, making one full revolution each hour. How much has the polygon rotated after 7 minutes?

A
14°
B
21°
C
35°
D
42°
6

A hexagon has different side lengths and angle measures. The top and bottom sides are equal, and the left and right sides are equal. The top 2 angles and bottom 2 angles are equal, and the left and right angles are equal.

Question illustration
A
60°
B
90°
C
120°
D
180°
7

Triangle ABC is rotated to create the image A'B'C'.

Question illustration
A
(x, y) → (x, –y)
B
(x, y) → (y, x)
C
(x, y) → (–x, –y)
D
(x, y) → (–y, –x)
8

On a coordinate plane, a triangle has points A (negative 5, 3), B (negative 2, 4), C (negative 2, 2).

Question illustration
A
(4, 2)
B
(2, 4)
C
(–4, –2)
D
(–2, –4)
9

On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a negative slope and has a formula of y = negative x. The parallelogram has points G (negative 2, negative 3), F (1, negative 3), E (negative 1, negative 5), and H (2, negative 5).

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

Right triangle LMN has vertices L(7, –3), M(7, –8), andN(10, –8). The triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8).

A
(x, y) → (x + 6, y – 5)
B
(x, y) → (x – 6, y + 5)
C
(x, y) → (x + 8, y – 11)
D
(x, y) → (x – 8, y + 11)
11

The rule T1, -4 RO, 180°(x, y) is applied to rectangle KLMN.

Question illustration
A
1
B
2
C
3
D
4
12

A composition of transformations maps pre-image EFGH to final image E"F"G"H".

Question illustration
A
a 180° rotation about point G
B
a 180° rotation about point H
C
a translation down and to the left
D
a translation up and to the right
13

The image of trapezoid PQRS after a reflection across is trapezoid P'Q'R'S'.

Question illustration
A
45º
B
90º
C
180º
D
270º
14

On a coordinate plane, 5 parallelograms are shown. Parallelogram L M N P has points (3, 1), (4, 1), (4, 3), and (5, 3). Figure D is reflected across the x-axis. Figure B is reflected across the y-axis. Figure C is rotated in the first quadrant. Figure A is rotated in the third quadrant.

Question illustration
A
figure A
B
figure B
C
figure C
D
figure D
15

Which statements are true about the reflectional symmetry of a regular heptagon? Select two options.

A
It has only 1 line of reflectional symmetry.
B
A line of symmetry will connect 2 vertices.
C
A line of symmetry will connect a vertex and a midpoint of an opposite side.
D
It has 7-fold symmetry.
E
A line of symmetry will connect the midpoints of 2 opposite sides.
16

The figure is an isosceles trapezoid.

Question illustration
A
0
B
1
C
2
D
3
17

Triangle PQR has vertices , , and . It is translated according to the rule .What is the y-value of ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
18

A rectangle is transformed according to the rule R0, 90º. The image of the rectangle has vertices located at R'(–4, 4), S'(–4, 1), P'(–3, 1), and Q'(–3, 4). What is the location of Q?

A
(–4, –3)
B
(–3, –4)
C
(3, 4)
D
(4, 3)
19

On a coordinate plane, a square and a point are shown. The square has points R prime (negative 8, 1), S prime (negative 4, 1), T prime (negative 4, negative 3), and U prime (negative 8, negative 3). Point S is at (3, negative 5).

Question illustration
A
(–5, –3)
B
(3, –3)
C
(–1, –6)
D
(4, –9)
20

A parallelogram is transformed according to the rule (x, y) → (x, y). Which is another way to state the transformation?

A
R0, 90°
B
R0, 180°
C
R0, 270°
D
R0, 360°

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