AnswersGeometry Concepts and ConnectionsCongruence: Part One

Practice Test Answers

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1
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Which statements are true about trapezoid ABCD and its translated image, cap A prime cap b prime cap c prime cap d prime ? Choose two correct answers.

A
The rule for the translation can be written as open paren x comma y close paren rightarrow open paren x minus 3 comma y plus 1 close paren .
B
The rule for the translation can be written as open paren x comma y close paren rightarrow open paren x plus 1 comma y minus 3 close paren .
C
Trapezoid ABCD has been translated 3 units to the right and 1 unit up.
D
The rule for the translation can be written as cap t sub negative 1 comma 3 times open paren x comma y close paren .
E
The rule for the translation can be written as cap t sub negative 3 comma 1 times open paren x comma y close paren .
2
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Quinton tried to transform triangle FGH according to the rule open paren x comma y close paren rightarrow open paren negative y comma x close paren Which best describes his attempt?

A
Incorrect. He transformed the triangle according to the rule open paren x comma y close paren rightarrow open paren y comma negative x close paren .
B
Incorrect. He transformed the triangle according to the rule open paren x comma y close paren rightarrow open paren negative x comma negative y close paren .
C
Incorrect. He transformed the triangle according to the rule open paren x comma y close paren rightarrow open paren negative y comma negative x close paren .
D
Correct. He transformed the triangle according to the rule open paren x comma y close paren rightarrow open paren negative y comma x close paren .
3

Which rule describes the transformation?

A
cap r sub 0 comma 90 degrees
B
cap r sub 0 comma 360 degrees
C
cap r sub 0 comma 180 degrees
D
cap r sub 0 comma 270 degrees
4

What are the coordinates of the image of vertex cap r after a reflection across the y -axis?

A
open paren negative 4 comma 3 close paren
B
open paren negative 3 comma negative 4 close paren
C
open paren 3 comma 4 close paren
D
open paren 4 comma negative 3 close paren
5

A square on a coordinate plane is translated 9 units down and 1 unit to the right. Which function rule describes the translation?

A
cap t sub negative 9 comma 1 times open paren x comma y close paren
B
cap t sub negative 9 comma negative 1 times open paren x comma y close paren
C
cap t sub negative 1 comma negative 9 times open paren x comma y close paren
D
cap t sub 1 comma negative 9 times open paren x comma y close paren
6

What is the rule for the reflection?

A
r sub x - axis times open paren x comma y close paren rightarrow open paren x comma negative y close paren
B
r sub x - axis times open paren x comma y close paren rightarrow open paren negative x comma y close paren
C
r sub y - axis times open paren x comma y close paren rightarrow open paren negative x comma y close paren
D
r sub y - axis times open paren x comma y close paren rightarrow open paren x comma negative y close paren
7

What are the coordinates of the image of vertex cap r after a reflection across the y -axis?

A
open paren negative 3 comma negative 4 close paren
B
open paren 4 comma negative 3 close paren
C
open paren negative 4 comma 3 close paren
D
open paren 3 comma 4 close paren
8

Which composition of transformations maps figure RSTUV to figure cap r double prime cap s double prime cap t double prime cap u double prime cap v double prime ?

A
a translation down followed by a 270 degrees rotation about point cap p
B
a translation down followed by a reflection across line n
C
a reflection across line n followed by a 270 degrees rotation about point cap p
D
a reflection across line n followed by a translation down and to the right
9

Quinton tried to transform triangle FGH according to the rule open paren x comma y close paren rightarrow open paren negative y comma x close paren Which best describes his attempt?

A
Incorrect. He transformed the triangle according to the rule open paren x comma y close paren rightarrow open paren negative y comma negative x close paren .
B
Incorrect. He transformed the triangle according to the rule open paren x comma y close paren rightarrow open paren negative x comma negative y close paren .
C
Correct. He transformed the triangle according to the rule open paren x comma y close paren rightarrow open paren negative y comma x close paren .
D
Incorrect. He transformed the triangle according to the rule open paren x comma y close paren rightarrow open paren y comma negative x close paren .
10

How many reflectional symmetries does a regular decagon have?

A
5
B
15
C
10
D
20
11

A square on a coordinate plane is translated 9 units down and 1 unit to the right. Which function rule describes the translation?

A
cap t sub negative 9 comma negative 1 times open paren x comma y close paren
B
cap t sub negative 1 comma negative 9 times open paren x comma y close paren
C
cap t sub negative 9 comma 1 times open paren x comma y close paren
D
cap t sub 1 comma negative 9 times open paren x comma y close paren
12

Which diagram has all the correct lines of reflectional symmetry for the rectangle?

A
Image with description A rectangle is folded 4 ways. It is folded diagonally at each midpoint of every side.
B
Image with description A rectangle is folded by a vertical and horizontal line going through its center.
C
Image with description A rectangle is folded 4 ways. It is folded horizontally, vertically, and diagonally on both corners.
D
Image with description A rectangle is folded diagonally on both corners.

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