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Geometry Side-Angle Relationship Inequality - Transversal

Total questions: 10

Worksheet time: 10mins

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.

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  

3.

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  

4.

Which of the following segments represents an altitude?

a)

BX

b)

AZ

c)

AC

d)

BZ

5.

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

6.

Find the m∠1

a)

67

b)

113

c)

180

d)

23

7.

Find the value of x.

a)

x = 10

b)

x = 20

c)

x = 720

d)

x = 5

8.

Find D

a)

∠D=116°

b)

∠D=64°

c)

∠D=180°

d)

∠D=26°

9.

Same Side Interior angles...

a)

Add to be 180

b)

Are congruent

c)

Add to be 90

d)

Are equal

10.

Which angle is a vertical angle to with \angle7 ?

a)

∠1\angle1  

b)

∠5\angle5  

c)

∠3\angle3  

d)

∠6\angle6  

e)

∠9\angle9