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Angles and Properties of Triangles

Total questions: 13

Worksheet time: 13mins

Name
Class
Date
1.

Use the figure to determine which of the following angles has the greatest measure:  ∠ 4, ∠ 8, ∠9\angle\ 4,\ \angle\ 8,\ \angle9  

a)

∠4\angle4  

b)

∠8\angle8  

c)

∠9\angle9  

d)

Not enough information

2.

Which of the following segments represents an altitude?

a)

BX

b)

AZ

c)

AC

d)

BZ

3.

Where would the largest side of a triangle be located?

a)

Across from the largest angle.

b)

Across from the smallest angle.

c)

Next to the smallest side.

d)

Across the smallest side.

4.

Name the angles from SMALLEST to LARGEST

a)

Q, R, P

b)

P, Q, R

c)

R, P, Q

d)

R, Q, P

5.

Name the sides from SMALLEST to LARGEST

a)

RS, ST, TR

b)

ST, RT, RS

c)

RT, ST, RS

d)

RT, RS, ST

6.

Name the angles from LARGEST to SMALLEST

a)

R, S, T

b)

S, T, R

c)

S, R, T

d)

T, S, R

7.

Name the sides from LARGEST to SMALLEST

a)

KJ, KH, JH

b)

JH, KH, KJ

c)

KH, KJ, JH

d)

KH, JH, KJ

8.

Use the figure to determine which of the following angles has the greatest measure:  ∠ 1, ∠ 3, ∠4\angle\ 1,\ \angle\ 3,\ \angle4  

a)

∠1\angle1  

b)

∠3\angle3  

c)

∠4\angle4  

d)

Not enough information

9.

SPORTS The figure shows the position of three trees on one part of a disc golf course. At which tree position is the angle between the trees the greatest?

a)

Tree 1

b)

Tree 2

c)

Tree 3

10.

Use the Exterior Angle Inequality Theorem to list all angles that satisfy the stated condition: measures are less than  ∠1\angle1  
​

a)

∠3, ∠4, ∠5, ∠7, ∠8\angle3,\ \angle4,\ \angle5,\ \angle7,\ \angle8  

b)

∠3, ∠4, ∠5, ∠6, ∠8\angle3,\ \angle4,\ \angle5,\ \angle6,\ \angle8  

c)

∠2, ∠6, ∠7, ∠8\angle2,\ \angle6,\ \angle7,\ \angle8  

d)

∠2, ∠6, ∠8, ∠9\angle2,\ \angle6,\ \angle8,\ \angle9  

11.

Use the Exterior Angle Inequality Theorem to list all angles that satisfy the stated condition: measures are less than  ∠3\angle3  
​

a)

∠2, ∠6, ∠8, ∠9\angle2,\ \angle6,\ \angle8,\ \angle9  

b)

∠1, ∠6, ∠8\angle1,\ \angle6,\ \angle8  

c)

∠5, ∠7, ∠8\angle5,\ \angle7,\ \angle8  

d)

∠2, ∠4, ∠7, ∠8\angle2,\ \angle4,\ \angle7,\ \angle8  

12.

The figure is an example of a(n) ...

a)

altitude 

b)

perpendicular bisector

c)

midsegment

d)

angle bisector

13.

Which of the following segments represents a median?

a)

BX

b)

AZ

c)

AC

d)

BZ