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ACT for IMPACT: Geometry Prep

Total questions: 10

Worksheet time: 23mins

Name
Class
Date
1.

In the figure, AC = 24, AB = 6x – 6, BC = 5x – 3 and BE = 3x + 2. Which do you know is true?

I. AC\overline{AC}   bisects DE\overline{DE}  

II. DE\overline{DE}   bisects AC\overline{AC}  

III. Line DE bisects line AC

a)

I only

b)

II only

c)

III only

d)

I and II only

e)

II and III only

2.

Find the values of x and y.

a)

x=20

y=34

b)

x=10

y=52

c)

x=12

y=18

d)

x=11

y=7

3.

The figure is NOT drawn to scale!

In the figure, BD bisects ∠ABE, BE bisects ∠ABG, m∠EBF = 37, and m∠CBG = 44. Find m∠DBF.

a)

68

b)

34

c)

82

d)

71

4.

If AB || CD, AB = CD and AF = FD = DE. What can you conclude?

I. ∆ABF ≅ ∆DCE

II. ∆ABF ≅ ∆DBF

III. ∆DBF ≅ ∆DCE

a)

I only

b)

II only

c)

III only

d)

I, II, and III

5.

A square garden enclosed by a fence with perimeter 40 m is to be expanded so it includes 300 m2 more area but is still square. If the gardener can reuse the old fence pieces, what length of new fence must the gardener buy?

a)

10 m

b)

20 m

c)

40 m

d)

100 m

6.

What is the degree measure of ∠ABC?

a)

45°45\degree  

b)

100°100\degree  

c)

110°110\degree  

d)

135°135\degree  

e)

160°160\degree  

7.

In the figure below, x = ?

a)

45

b)

60

c)

90

d)

105

e)

120

8.

In the figure below, l1 is parallel to l2. Which of the following must be true?

I. w = a

II. y + b = 180°

III. x + d = 180°

a)

I only

b)

II only

c)

I and II only

d)

II and III only

e)

I, II, and III

9.

What is 2x – 60 equal to?

a)

80

b)

40

c)

30

d)

20

e)

10

10.

∠ABC and ∠CBD are adjacent congruent angles, and m∠ABD = 160. What is the measure of ∠ABC?

a)

80°80\degree  

b)

100°100\degree  

c)

70°70\degree  

d)

90°90\degree