AnswersGCSS_GA-Geometry Concepts and Connections_ICUnit Test

Unit Test — Unit test Answers

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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
22
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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
23

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
24

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
25

Hexagon DEFGHI is translated 8 units down and 3 units to the right. If the coordinates of the pre-image of point F are(–9, 2), what are the coordinates of F'?

A
(–17, 5)
B
(–6, –6)
C
(–17, –1)
D
(–12, –6)
26

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30

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
31

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

Question illustration
A
dilation
B
translation
C
reflection
D
rotation
32

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.
33

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.
34

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)
35

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)
36

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
37

The figure is an isosceles trapezoid.

Question illustration
A
0
B
1
C
2
D
3
38

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
39

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.
40

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°

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