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Geometry Unit 4 - Properties of Triangles

Total questions: 14

Worksheet time: 4hrs 30mins

Name
Class
Date
1.

In the figure shown, what is m<WXY?

a)

45

b)

107

c)

120

d)

135

2.

Which lists the sides of  

 Δ\Delta  BCD in order from shortest to longest?

a)

 CD, BD, BC \overline{CD},\ \overline{BD},\ \overline{BC}\   

b)

 BC, CD, BD\overline{BC},\ \overline{CD},\ \overline{BD}  

c)

 BD, CD, BC\overline{BD},\ \overline{CD},\ \overline{BC}  

d)

 BC, BD, CD\overline{BC},\ \overline{BD},\ \overline{CD}  

3.

Which lists the sides of  Δ\Delta  WNP in order from longest to shortest?

a)

 WP, NP, WN\overline{WP},\ \overline{NP},\ \overline{WN}  

b)

 WN, NP, WP\overline{WN},\ \overline{NP},\ \overline{WP}  

c)

 NP, WN, WP\overline{NP},\ \overline{WN},\ \overline{WP}  

d)

 WP, WN, NP\overline{WP},\ \overline{WN},\ \overline{NP}  

4.

In the drawing of triangle XYZ, which angle has the least measure?

a)

<XZY

b)

<XYZ

c)

<ZYX

d)

Two angles are both the smallest

5.

Which of the following could not be the lengths of the sides of a triangle?

a)

6ft, 3ft, 9ft

b)

3 cm, 4 cm, 5 cm

c)

4 in, 6 in, 8 in

d)

5 km, 2 km, 4 km

6.

Which pipe lengths could be joined to form a triangle?

a)

15 ft, 6 ft, 5 ft

b)

13 ft, 12 ft, 5 ft

c)

40 ft, 20 ft, 10 ft

d)

19 ft, 16 ft, 2 ft

7.

Two sides of a triangle measure 14 inches and 8 inches. Which cannot be the length of the remaining side?

a)

6in

b)

8in

c)

14in

d)

21in

8.

Jennifer is forming a triangle out of string. Two pieces of string measure 8.2 cm and 9.1 cm. What length of string could be used for the third side of the triangle?

a)

0.9 cm

b)

17.2 cm

c)

17.3 cm

d)

17.4 cm

9.

Find w.

(a)  

10.

Solve for y

(a)  

11.

Check all angles that are larger than <3

a)

<1

b)

<2

c)

<4

d)

<7

e)

<8

12.

Select all angles less than <8

a)

<2

b)

<3

c)

<4

d)

<5

e)

<7

13.

Do the coordinates below form a triangle?


A(3, 5), B(4, 7), C(7, 6)

a)

Yes, the slopes of the three lines are different

b)

Yes, the slopes of the three lines are the same

c)

No, the slopes of the three lines are different

d)

No, the slopes of the three lines are the same

14.

Do the coordinates below form a triangle?


A(6, 5), B(8, 3), C(12, -1)

a)

Yes, the slopes of the three lines are different

b)

Yes, the slopes of the three lines are the same

c)

No, the slopes of the three lines are different

d)

No, the slopes of the three lines are the same