Review angles and triangles

ANGLES AND TRIANGLES REVIEW

By Sharon Rummins

LEARNING OBJECTIVES:
TO REVIEW

• types of angles and triangles

• complementary and supplementary angles

•   vertically opposite angles

•   angles in a revolution

•   angle sum in a triangle

•   the exterior angle theorem

TYPES OF ANGLES AND TRIANGLES

Multiple Choice

What type of angle is shown here?

• Acute

• Obtuse

• Reflex

• Right

Multiple Choice

What type of angle is shown here?

• Acute

• Obtuse

• Reflex

• Right

Multiple Choice

What type of angle is shown here?

• Acute

• Obtuse

• Reflex

• Right

Multiple Choice

What type of angle is this?

• acute angle

• right angle

• obtuse angle

• straight angle

Multiple Choice

I am an angle. I measure 111 degrees. What type of angle am I?

• acute angle

• right angle

• obtuse angle

• straight angle

Multiple Choice

What type of triangle is shown?

• Right

• Scalene

• Isosceles

• Equilateral

Multiple Choice

What type of triangle is shown?

• Isosceles

• Right

• Equilateral

• Scalene

Multiple Choice

What type of triangle is shown?

• Isosceles

• Right

• Equilateral

• Scalene

Multiple Choice

What type of triangle is shown?

• Isosceles

• Right-angled

• Equilateral

• Scalene

Multiple Choice

What type of triangle is shown?

• A right angled triangle

• An irregular triangle

• A rectangle

• An equilateral triangle

Multiple Choice

Which of the following is NOT possible?

• An obtuse isosceles triangle

• An acute isosceles triangle

• An obtuse equilateral triangle

• An acute equilateral triangle

COMPLEMENTARY AND SUPPLEMENTARY ANGLES

Multiple Choice

Name the angle pair. 

• Complementary
• Supplementary
• Obtuse

• Vertical

Multiple Choice

Name the angle pair. 

• Complementary
• Supplementary
• Linear Pair
• Vertical

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Multiple Choice

What is an example of a pair of complementary angles?

• 45° and 48°

• 79° and 30°

• 150° and 32°

• 36° and 54°

VERTICALLY OPPOSITE ANGLES

Multiple Choice

Find the angle at x

• 105

• 75

• 180

• 85

Multiple Choice

What is the value of x?

• 53

• 67

• 57

• 133

Multiple Choice

What is the value of angle b?

• 140

• 40

• 50

• 30

ANGLES IN A REVOLUTION

Fill in the Blanks

Fill in the Blanks

Multiple Choice

What is the measure of $$\angle r?$$

• $$28\degree$$  

• $$16\degree$$  

• $$44\degree$$  

• $$90\degree$$  

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Multiple Choice

Find the value of t

• -1
• 5
• 5.14
• 7

ANGLE SUM IN A TRIANGLE

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Multiple Choice

Find the measure of angle A.

• 44^o
• 96^o
• -14^o
• 63^o

Multiple Choice

Solve for x.

• 6
• 5
• -11
• 4

Fill in the Blanks

THE EXTERIOR ANGLE THEOREM

Explanation Slide...

Add up the 3 angles in the triangle and set equal to 180.Combine like terms to get 2x + 194 = 180.Subtract 194 from both sides to get 2x = -14Dived both sides by -2 to get x = -7Now to find plug in -7 for x:

Multiple Choice

What is the measure of $$\angle4$$  in the triangle shown?

• $$22\degree$$  

• $$148\degree$$  

• $$32\degree$$  

• $$117\degree$$  

Multiple Choice

Find angle BCD.

• 145°

• 113°

• 102°

• 78°

Multiple Choice

What is the measure of $$\angle3$$  in the triangle shown?

• $$240\degree$$  

• $$41\degree$$  

• $$79\degree$$  

• $$38\degree$$  

Multiple Choice

Find the value of x by using the exterior angle theorem.

• 12

• 8

• 15

• 9

Multiple Choice

What is the measure of angle A in the triangle?

• 116°

• 25°

• 62°

• 54°