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Geometry Side-Angle Relationship

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

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

2.

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

3.

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  

4.

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  

5.

Which of the following segments represents a median?

a)

BX

b)

AZ

c)

AC

d)

BZ

6.

What is the relationship of the angles?

a)

Corresponding angles

b)

Same Side Interior

c)

Alternate Interior

d)

Alternate Exterior

7.

∠2 & ∠6 are...

a)

Supplementary angles

b)

Vertical angles

c)

Corresponding angles

d)

Alternate interior angles

8.
a)

Parallel

b)

Not Parallel

9.

What is the relationship of the angles

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical

10.

What is the relationship of the Angles

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Same Side Interior

11.

x = ________

a)

77° - alternating exterior angles.

b)

103° - alternating interior angles.

c)

77° - vertical angles.

d)

103° - vertical angles.

12.

Find the missing angle.  Find x.

a)

20o

b)

70o

c)

160o

d)

180o

13.

Vertical angles are always

a)

acute

b)

total 180 degrees

c)

congruent (equal measures)

d)

adjacent angles

14.

What angle pair is pictured?

a)

Alternate Interior Angles

b)

Supplementary Angles

c)

Vertical Angles

d)

Corresponding Angles

15.

x = _________

a)

146° - supplementary angles.

b)

34° - alternating exterior angles.

c)

146° - same-side interior angles.

d)

34° - supplementary angles.