Unit Test — Unit test Answers

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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)
2
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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)
3

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.
4

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.
5

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)
6

The figure is an isosceles trapezoid.

Question illustration
A
0
B
1
C
2
D
3
7

If an image of a triangle is congruent to the pre-image, what is the scale factor of the dilation?

A
0.1
B
Option
Option B
C
1
D
10
8

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
9

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.
10

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
11

Point P is the center of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of P A is 2 and the length of P B is 3. The Length of A A prime is 4 and the length of B B prime is 5.

Question illustration
A
Yes, it is an enlargement with a scale factor of 3.
B
Yes, it is an enlargement with a scale factor of .
Option B
C
No, it is not a dilation because the points of the image are not moved away from the center of dilation proportionally.
D
No, it is not a dilation because the sides of the image are proportionally reduced from the pre-image.
12

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
13

Triangle RST was dilated by a scale factor of . The image, triangle R'S'T', is an isosceles triangle, with each leg measuring 8 units.

Question illustration
A
4 units
B
8 units
C
16 units
D
20 units
14

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)
15

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°
16

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°
17

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)
18

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°
19

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

Question illustration
A
dilation
B
translation
C
reflection
D
rotation
20

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

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