Unit Test — Unit test Answers

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2 right triangles have identical angle measures but different side lengths. The first triangle has side lengths of 6, 10, 8 and the second triangle has side lengths of 3, 5, 4.

Question illustration
A
dilation
B
reflection
C
rotation
D
translation
2
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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
3

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)
4

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)
5

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)
6

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
7

The figure is an isosceles trapezoid.

Question illustration
A
0
B
1
C
2
D
3
8

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
9

All side lengths in quadrilateral PQRS measure 4 units. A transformation maps PQRS to P'Q'R'S'. All sides of P'Q'R'S' measure 1 unit.

A
Yes, the side lengths in the two figures are proportional.
B
Yes, one figure maps to the other.
C
No, the side lengths are not preserved.
D
No, the angles are not preserved.
10

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)
11

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°
12

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
13

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°
14

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
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

2 triangles have identical side lengths and angle measures. The second triangle is rotated slightly to the left.

Question illustration
A
It is rigid because all side lengths and angles are congruent.
B
It is rigid because no side lengths or angles are congruent.
C
It is nonrigid because all side lengths are congruent.
D
It is nonrigid because no side lengths or angles are congruent.
17

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°
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 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)
20

A transformation of ΔKLM results in ΔK'L'M'.

Question illustration
A
dilation
B
translation
C
reflection
D
rotation

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