Triangle Proportionality and Midsegment

CO.9 and CO.10

Triangle Proportionality Theorem

Angle Bisector Theorem

Vertical Angles Theorem

Corresponding Angles Theorem

Alternate Interior Angles Theorem

Linear Pair Theorem

Triangle Angle Sum Theorem

Perpendicular Bisector Theorem

Isosceles Triangle Theorem

Triangle Midsegment Theorem

Multiple Choice

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 

• 45°
• 90°
• 180°
• 360°

Multiple Choice

Name a pair of angles that are vertical.

• Angles 4 and 5
• Angles 7 and 9
• Angles 8 and 9
• Angles 5 and 7

Multiple Choice

Name a pair of angles that form a linear pair.

• Angles 1 and 2
• Angles 2 and 4
• Angles 5 and 8
• Angles 9 and 10

Multiple Choice

Find the value of x

• 16
• 8
• 32.8
• 39.2

Multiple Choice

Find the value of x. 

• 14
• 112
• 108
• 104

Multiple Choice

Find the value of t

• -1
• 5
• 5.14
• 7

Multiple Choice

Find the m∠3

• 28
• 152
• 180
• 62

Multiple Choice

Find the value of x. 

• 14
• 112
• 108
• 104

Multiple Choice

QR is a midsegment of triangle BCD. Solve for the value of x.

• 11
• 18
• 9
• -7

Multiple Choice

QR is a midsegment of triangle FGH. Solve for the value of x?

• 5.5
• 11
• -5.5
• -11

Multiple Choice

What is the value of x?

• 10
• No Solution
• 5
• 2

Multiple Choice

What is the value of y?

• 3
• -3
• No Solution
• 5

Multiple Choice

What is the length of the Midsegment?

• 6
• 9
• 12
• 18

Multiple Choice

Find the measure of ∠S

• 3
• 11
• 26
• 58

Multiple Choice

What is the value of x?

• 3
• 6
• 7
• 21

Multiple Choice

Find the missing length.

• x = 15
• x = 13
• x = 12
• x = 11

Multiple Choice

Find the missing length.

• x = 3
• x = 4
• x = 7
• x = 5

Multiple Choice

Find the missing length.

• 9
• 18
• 4.5
• 16

Multiple Choice

Find x, then the measure of AC

• x=2, AC=8
• x=2, AC=16
• x=4, AC=8
• x=4, AC=16

Fill in the Blanks

Multiple Choice

What is the measure of $$\overline{VU}$$  

• 2

• 4.5

• 16

• 9

Multiple Choice

Find the value of x

• 10

• 52

• 9

• 7

Multiple Choice

Find the value of y?

• 16

• 12

• 4

• 8

Multiple Choice

Find the value of y

• 100

• 180

• 40

• 50

Multiple Choice

Solve for x THEN find the degrees for angle A.

• 44^o
• 96^o
• -14^o
• 63^o

Multiple Choice

Solve for x.

• 16
• 11
• 50
• 6

Multiple Choice

Find x.

• 75 degrees

• 45 degrees

• 15 degrees

• 30 degrees

Multiple Choice

Find x.

• 115 $$\degree$$

• 65 $$\degree$$

• 36 $$\degree$$

• 245 $$\degree$$

Multiple Choice

Which of these angles is NOT congruent to angle 5?

• Angle 6
• Angle 8
• Angle 1
• Angle 4

Multiple Choice

• 45
• 65
• 70

Multiple Choice

Solve for x.

• 4
• 9
• 10
• -7

Multiple Choice

What is the measure of ∠3?

• 55
• 155
• 45
• 135

Multiple Choice

Solve for x.

• 8
• 11
• 5
• -5

Multiple Choice

What is the measure of ∠6?

• 55
• 155
• 45
• 135

Multiple Choice

Which of the following angles would NOT be congruent to the measure of $$\angle7$$ ?

• $$\angle2$$  

• $$\angle3$$  

• $$\angle6$$  

• $$\angle8$$  

Multiple Choice

Angle 3 and Angle 6 are examples of which type of angle pair?

• Alternate exterior angles

• Alternate interior angles

• Vertical angles

• Corresponding angles

Multiple Choice

Angle 1 and Angle 5 are examples of which type of angle pair?

• Alternate exterior angles

• Alternate interior angles

• Vertical angles

• Corresponding angles

Multiple Choice

• x = 118

• x = 108

• x = 28

• x = 58

• x = 62

Multiple Choice

Which angles are vertical angles?

• $$\angle8\ \ and\ \angle7$$

• $$\angle8\ and\ \angle6$$

• $$\angle8\ and\ \angle5$$

Multiple Choice

Which one angle is a linear pair with $$\angle1$$  ?

• $$\angle2$$  

• $$\angle3$$  

• $$\angle4$$  

• $$\angle5$$  

• $$\angle6$$  

Multiple Choice

Find the missing angle.  Find x.

• 20^o
• 70^o
• 160^o
• 180^o

Multiple Choice

4. Find X

• 1
• 30
• 53
• 10

Multiple Choice

Find the value of x.

• 14
• 60
• 35
• 180