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Worksheets

Angles and Triangles

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

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.

2.

Find the largest angle in Δ PRQ

a)

∠R

b)

∠P

c)

∠Q

d)

∠S

3.

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

a)

altitude 

b)

perpendicular bisector

c)

midsegment

d)

angle bisector

4.

Which of the following segments represents an altitude?

a)

BX

b)

AZ

c)

AC

d)

BZ

5.

The smallest angle would be located where in a triangle?

a)

Across from the smallest side.

b)

Across from the largest side

c)

Cannot tell

6.

Name the angles from SMALLEST to LARGEST

a)

Q, R, P

b)

P, Q, R

c)

R, P, Q

d)

R, Q, P

7.

Name the sides from SMALLEST to LARGEST

a)

RS, ST, TR

b)

ST, RT, RS

c)

RT, ST, RS

d)

RT, RS, ST

8.

Name the angles from LARGEST to SMALLEST

a)

R, S, T

b)

S, T, R

c)

S, R, T

d)

T, S, R

9.

Name the sides from LARGEST to SMALLEST

a)

KJ, KH, JH

b)

JH, KH, KJ

c)

KH, KJ, JH

d)

KH, JH, KJ

10.

Find the largest side in Δ BCD

a)

Segment BC

b)

Segment DB

c)

Segment DC

d)

Segment AB

11.

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

12.

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

13.

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

14.

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  

15.

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