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Topic 3 Geometry Study guide

Total questions: 10

Worksheet time: 7mins

Name
Class
Date
1.

Select all the rules for the translation of △RST.

a)

5 units down; 5 units right

b)

5 units up; 5 units left

c)

T<5, -5>

d)

T<-5, 5>

e)

T<-5, -5>

2.

Find the coordinates of Q' of the image after R y − a x i s ∘ r ( 180 ∘ , O ) ( Q R S T )

a)

(1,-4)

b)

(3,1)

c)

(-1,-3)

d)

(-4,1)

3.

Point P′(−3, 2) is the image of point P(3, 8) under a translation. What is the image of (0, −6) under the same translation?

a)

(0, 6)

b)

(0, 10)

c)

(−6, −12)

d)

(−3, −4)

4.

Given point B is not on line m, suppose B is reflected across line m. Which of the following is true?

a)

BB' is the bisector of line m.

b)

Line m is parallel to BB'.

c)

Line m is the perpendicular bisector of BB'

d)

B=B'

5.

Point T is at (−6, 4). What are the coordinates of point T′ after R y − a x i s ∘ R x − a x i s?

(a)  

6.

If a figure is translated with the ruleT < − 3 , 3 >

, which translation moves the image back to the original position?

a)

T < − 3 , 3 >

b)

T < 3 , − 3 >

c)

T < 0 , 3 >

d)

T < 3 , 0 >

7.

Given the regular polygon shown, select all of the rotations and reflections that carry the figure onto itself.

a)

a rotation of 120° around the center, point d

b)

a reflection across line c, through the midpoints of opposite sides

c)

a reflection across line a, through a vertex and a midpoint of an opposite side

d)

a reflection across line b, through one vertex, the center d

e)

a rotation of 60° around the center, point d

8.

For a rotation r(x°, p) , which of the following is not true?

a)

For a preimage point A, m∠APA′=x°.

b)

The transformation rotates every point in the preimage x° about a point P.

c)

For the a preimage point A, PA=PA′.

d)

The expression r ( x° , P ) A = B

means that when point P is rotated x° around point A its image is located at point B

9.

Use the regular pentagon shown.

How many lines of symmetry does the pentagon have?

a)

0

b)

1

c)

3

d)

5

10.

Use the regular pentagon shown.

What is the least angle of rotation that maps the pentagon onto itself?

(a)