AnswersMathematics IGeometric Transformations

Practice Test Answers

14 verified answers
1
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How many reflectional symmetries does a regular decagon have?

A
10
B
20
C
15
D
5
2
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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 270 degrees
D
cap r sub 0 comma 180 degrees
3

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

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

Which angle corresponds to angle cap n ?

A
angle cap p prime
B
angle cap n prime
C
angle cap o prime
D
angle cap o
5

The first transformation for this composition is [________], and the second transformation is a translation down and to the right.

A
a 90 degrees clockwise rotation about point cap l
B
a 270 degrees clockwise rotation about point cap p
C
a 270 degrees clockwise rotation about point cap l
D
a 90 degrees clockwise rotation about point cap p
6

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 reflection across line n followed by a 270 degrees rotation about point cap p
B
a translation down followed by a 270 degrees rotation about point cap p
C
a translation down followed by a reflection across line n
D
a reflection across line n followed by a translation down and to the right
7

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 1 comma negative 9 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 9 comma 1 times open paren x comma y close paren
D
cap t sub negative 1 comma negative 9 times open paren x comma y close paren
8

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

A
Image with description A rectangle is folded by a vertical and horizontal line going through its center.
B
Image with description A rectangle is folded 4 ways. It is folded diagonally at each midpoint of every side.
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.
9

Which of the following shows a square inscribed in a circle?

A
Image with description The circle is drawn outside the square.
B
Image with description The circle is drawn inside a rectangle.
C
Image with description The circle is drawn inside the square.
D
Image with description The circle is drawn by taking the side of the square as the diameter
10

Which construction uses the compass for only one step in addition to drawing the circle itself?

A
a regular hexagon inscribed in a circle
B
a square inscribed in a circle
C
an equilateral triangle inscribed in a circle
D
a diameter of a circle
11

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
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 .
B
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 .
C
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 .
D
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 .
12

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 x comma negative y close paren
D
r sub y - axis times open paren x comma y close paren rightarrow open paren negative x comma y close paren
13

Which statement is true regarding the side in the image that corresponds to line segment BA ?

A
line segment BC corresponds to line segment BA because they are about the same length.
B
line segment ED corresponds to line segment BA because they are in the same position.
C
line segment EF corresponds to line segment BA because the transformation is isometric.
D
line segment FD corresponds to line segment BA because the length is not preserved.
14

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 cap t sub negative 1 comma 3 times open paren x comma y close paren .
B
The rule for the translation can be written as cap t sub negative 3 comma 1 times open paren x comma y close paren .
C
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 .
D
Trapezoid ABCD has been translated 3 units to the right and 1 unit up.
E
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 .

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