Geometry 7 Study Guide

All angles in a quadrilateral add up to 360.

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Quadrilateral Sum Theorem

Multiple Choice

• 60˚

• 150˚

• 240˚

• 300˚

Multiple Choice

• 300

• 60

• 300˚

• 60˚

Multiple Choice

The angles inside a quadrilateral are <A = 90, <B = 110, <C = 72. What is the <D = ?

• 78

• 68

• 88

• 108

All angles in a triangle equal 180.

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Triangle Sum Theorem

40 + 75 + 65 = 180

Multiple Choice

Find the measure of the indicated angle. 

• 95

• 85

• 35

• 45

Multiple Choice

What is the measure of angle b

• 146

• 34

• 36

• 136

Multiple Choice

Find the measure of the missing angle.

• 90^o

• 10⁰

• 130^o

• 50^o

Multiple Choice

Solve for x.

• 16

• 11

• 50

• 6

Multiple Choice

Use the triangle to solve for x.

• $$-10$$  

• $$190$$  

• $$10$$  

• $$-5$$  

Multiple Choice

If two angles in a triangle are $$45\degree$$  and $$\ 75\degree$$ , what is the measure of the third angle?

• $$75\degree$$  

• $$90\degree$$  

• $$60\degree$$  

• $$70\degree$$  

Multiple Choice

A student is trying to construct triangles using four different sets of angles. The angles in each set are given below. Which set will form a triangle?

• 45°, 65°, 70°

• 150°, 110°, 100°

• 50°, 50°, 50°

• 90°, 90°, 90°

States that the sum of two smaller sides have to be greater than the 3rd side to be a triangle.

A + B > C

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Triangle Inequality Theorem

Multiple Choice

Does the sides 8 in, 9 in, 10 in make a triangle?

• yes

• no

Multiple Choice

Does the sides 1 in, 1 in, 2 in make a triangle?

• yes

• no

Multiple Choice

9. Which of these lengths CANNOT represent the sides of a triangle?

• 32 in, 34 in, 60 in

• 28 in, 30 in, 58 in

• 13 in, 20 in, 27 in

• 2 in, 4 in, 5 in

Multiple Choice

Which set of side lengths will form a triangle?

• 3 in, 6 in, 12 in

• 7 in, 7 in, 14 in

• 9 in, 9 in, 9 in

• 13 in, 6 in, 7 in

Multiple Choice

Which set of angles or side lengths could form a triangle?

• 5 in, 8 in , 16 in

• 6 in, 6 in, 15 in

• $$50\degree\ ,\ 32\ \degree\ ,\ 98\ \degree\$$

• $$30\degree\ ,\ 25\ \degree\ ,\ 10\ \degree\$$

Angle Relationships

Multiple Choice

If m∠1 = 30°, then m∠3 = 

• 30°

• 60°

• 150°

• undetermined

Multiple Choice

Find the value of x.

• 18°

• 28°

• 38°

• 118°

Multiple Choice

What are supplementary angles?

• Angles that add up to 180°

• Angles that add up to 90°

• Angles that are equal to each other

• Angles that are opposite of each other when lines intersect

Multiple Choice

What are complementary angles?

• Angles that add up to 180°

• Angles that add up to 90°

• Angles that are equal to each other

• Angles that are opposite of each other when lines intersect.

Multiple Choice

What are vertical angles?

• Angles that are adjacent to each other

• Angles that add up to 180°

• Angles that are opposite of each other when lines intersect

• Angles that add up to 90°

Multiple Choice

Tell whether the angles are complementary or supplementary. Then find the value of x.

• Complementary; x=25

• Complementary; x=5

• Supplementary; x=25

• Supplementary; x=5

Multiple Choice

What is the measure of the missing angle?

• 40

• 130

• 50

• 120

Multiple Choice

Find the missing angle.  Find x.

• 20^o

• 70^o

• 160^o

• 180^o

Multiple Choice

What is the measure of x?

• 60°, complementary

• 60°, supplementary

• 120°, vertical

• 120°, adjacent

Multiple Choice

Identify the relationship:

• vertical

• supplementary

Multiple Choice

Identify the relationship:

• vertical

• supplementary

Multiple Choice

Identify the relationship:

• vertical

• supplementary (angles add up to 180^o)

• complementary (angles add up to 90^o)

Multiple Choice

< A and < B are complementary. < A = 74 then < B =??

• 21

• 74

• 16

• 106