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QUIZ IN EXTERIOR ANGLES AND TRIANGLE INEQUALITY THEOREM

Total questions: 10

Worksheet time: 7mins

Name
Class
Date
1.

If the measure of an exterior angle of a triangle is 85 degrees, what should be the sum of the two remote interior angles of the triangle?

a)

equal to 85 degrees

b)

greater than 85 degrees

c)

less than 85 degrees

d)

180 degrees

2.

In ∆XYZ, if m∠X=57,m∠Y=49 and m∠Z=74, name the sides in decreasing order. if

a)

XZ, YZ, XY

b)

YZ, XY, XZ

c)

XY, YZ, XZ

d)

XY, XZ, YZ

3.

Can the numbers 7, 5, 4 be sides of a triangle?

a)

Yes

b)

No

c)

Maybe

4.

Can the numbers 3,6, 2 be sides of a triangle?

a)

Yes

b)

No

c)

Maybe

5.

In ΔDEF, if DE=7, EF= 8 and DF=6, name the angles in increasing order.

a)

∠D, ∠E, ∠F

b)

∠F, ∠E, ∠D

c)

∠E, ∠D, ∠F

d)

∠E, ∠F, ∠D

6.

Two sides of a triangle have lengths 5 cm. and 7 cm. respectively. Which of the following can be the length of the third side?

a)

13 cm

b)

12 cm

c)

3 cm

d)

2 cm

7.

Which of the following CANNOT be a side of a triangle whose two given sides are 7 ft and 10 ft.

a)

3 ft

b)

4 ft

c)

15 ft

d)

16 ft

8.

Using the figure, what can you deduce if AC=AB, CD =10 and BD = 12?

a)

m∠CAD > m∠BAD

b)

m∠CAD < m∠BAD

c)

m∠ADC > m∠ADB

d)

m∠ACD < m∠ABD

9.

If HO = HE, OM = 9 and EM = 8, what can you conclude on angle OHM and angle EHM?

a)

m∠OHM is greater than m∠EHM

b)

m∠OHM is less than m∠EHM

c)

m∠OHM is equal to m∠EHM

d)

no relationship exists

10.

What is the possible range of the third side (x) of a triangle, given that the two sides have the measures 9 and 14?

a)

5 < x < 23

b)

5 > x > 23

c)

6 < x < 24

d)

6 > x < 24