Free Printable Chapter 5 review

1.

Will these sides form a right triangle?

2, 12, 13

a)

Yes

b)

No

2.

What type of triangle will these side lengths form?

13, 12, 15

a)

Right

b)

Acute

c)

Obtuse

3.

What type of triangle will these side lengths form?

9, 10, 15

a)

Right

b)

Acute

c)

Obtuse

4.

What type of triangle will these side lengths form?

7, 8, 10

a)

Right

b)

Acute

c)

Obtuse

5.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

6.

Level 4

Solve for x.

a)

38.9

b)

40.2

c)

45.6

d)

54

7.

Level 4

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

a)

23 feet

b)

26 feet

c)

27 feet

d)

22 feet

8.

Can the three segment lengths listed form a triangle?

a)

Yes

b)

No

c)

Maybe So

d)

I don't know

9.

Can the three segments form a triangle?

a)

Yes

b)

No

c)

Maybe So

d)

I don't know

10.

List the segments from triangle ABC from smallest to largest!

a)

$\overline{AC},\ \overline{AB},\overline{CB}$

b)

$\overline{CB},\ \overline{AC},\overline{AB}$

c)

$\overline{BC},\ \overline{AB},\overline{AC}$

d)

$\overline{AB},\ \overline{AC},\overline{CB}$

11.

Order the angles of triangle XYZ from largest to smallest!

a)

$\angle X,\angle Y,\angle Z$

b)

$\angle Y,\angle Z,\angle X$

c)

$\angle Z,\angle X,\angle Y$

d)

$\angle X,\angle Z,\angle Y$

12.

Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.

a)

18.8 yds

b)

3 yds

c)

19 yds

d)

15.4 yds

13.

Simplify the radical.....
4√28

a)

4√7

b)

8√28

c)

8√7

d)

8

14.

Find the missing side of each triangle. Give your answers in simplest radical form.

a)

$4\sqrt{6}$

b)

$\sqrt{194}$

c)

$\sqrt{241}$

d)

$\sqrt{47}$

15.

Two window washers, Maura and Chloe, lean a ladder against the side of a building so that Maura can wash a window while Chloe holds the ladder. The top of the ladder reaches the window, which is 16 feet off the ground. The base of the ladder is 12 feet away from the building. How long is the ladder?

a)

20 feet

b)

400 feet

c)

10 feet

d)

25 feet

16.

Find the missing side of each triangle. Leave your answers in simplest radical form.

a)

$3\sqrt{5}$

b)

$4\sqrt{9}$

c)

$2\sqrt{7}$

d)

$2\sqrt{14}$

17.

Find the missing side lengths. Leave your answers as radicals in simplest form.

a)

$12\sqrt{2}$

b)

$2\sqrt{6}$

c)

$6\sqrt{2}$

d)

$6\sqrt{6}$

18.

a)

$\frac{22\sqrt{6}}{3}$

b)

$\frac{22\sqrt{2}}{\sqrt{3}}$

c)

$22\sqrt{2}$

d)

$18\sqrt{5}$

19.

a)

x=2 y= $2\sqrt{2}$

b)

x= $2\sqrt{2}$ y=4

c)

x= $2\sqrt{2}$ y= $2$

d)

x=4 y $2\sqrt{2}$

20.

a)

x=10 y=10

b)

x=5 y=5

c)

x=20 y=20

d)

x= $5\sqrt{2}$ y= $5\sqrt{2}$

21.

a)

$a=\sqrt{3}\ b=3$

b)

$a=\sqrt{6}\ b=1$

c)

$a=1\ b=\sqrt{3}$

d)

$a=\sqrt{x}\ b=1$

22.

a)

$x=\sqrt{2}y=\sqrt{1}$

b)

x=2 y=1

c)

$x=2\ y=\sqrt{2}$

d)

x=1 y= $\sqrt{2}$

23.

a)

BC, DC, AB, BD, AD

b)

DC, BC, AB, BD, AD

c)

AD, BD, AB, BC, DC

d)

AB, BC, BD, AD, AC

Chapter 5 review

Total questions: 23

Worksheet time: 48mins

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