Unit 4 Review

UNIT 4 REVIEW

​Exterior Angle Theorem

Multiple Choice

Which equation would you solve to find the value of x?

• 20x = 7x + 5 + 60

• 7x + 5 + 60 + 20x

• 7x+5 = 60

• 7x + 5 = 180

Multiple Choice

Find the value of x.

• 10

• 5

• 9

• 60

Multiple Choice

Now that x = 5, what is the measure of angle C?

• 60

• 5

• 40

• 68

Multiple Choice

What is the measure of angle B?

• 61

• 75

• 44

• 84

Multiple Choice

What equation would you solve to find the value of x?

• 2x + 1 + 5x + 5 = 180

• 2x + 1 = 5x + 5

• 2x + 1 + 5x + 5 + 90 = 180

• 5x + 5 = 45

Multiple Choice

Assume triangle DEF is congruent to triangle QRS. How many degrees is <Q?

• 29

• 123

• 28

• 180

Multiple Choice

Assume triangle DEF is congruent to triangle QRS. How many degrees is <Q?

• 29

• 123

• 28

• 180

Multiple Choice

Assume triangle DEF is congruent to triangle QRS. Which angle is congruent to <S?

• D

• E

• F

• Q

Multiple Choice

Assume triangle DEF is congruent to triangle QRS. What equation would you solve to find the value of x?

• 2x+2 = 29

• 2x+2 = 123

• 2x + 2 = 28

• 29 + 2x+2 = 180

​Don't forget the four shortcuts you learned to determine
triangle congruence.

Multiple Choice

• m<A = m<D

• AC = DF

• BC = EF

• m<C = m<F

Multiple Choice

• m<A = m<D

• AC = DF

• BC = EF

• m<C = m<F

Multiple Choice

Why are the two triangles congruent?

• SSS

• SAS

• ASA

• AAS

• NOT ENOUGH INFO

Multiple Choice

Why are the two triangles congruent?

• SSS

• SAS

• ASA

• AAS

• NOT ENOUGH INFO

Multiple Choice

Why are the two triangles congruent?

• SSS

• SAS

• ASA

• AAS

• NOT ENOUGH INFO

Multiple Choice

Why are the two triangles congruent?

• SSS

• SAS

• ASA

• AAS

• NOT ENOUGH INFO

THERE IS NO SSA!

Don't forget, the angle needs to be included between the two side lengths that are marked.

​BASE ANGLES THEOREM - If a triangle is isosceles, then the base angles are congruent.

Multiple Choice

What is the value of x and what is the value of y?

• x = 50 and y = 80

• x = 60 and y = 60

• x = 50 and y = 100

• x = 50 and y = 50

Multiple Choice

Which equation would you solve to find the value of x?

• 3x - 11 + 2y + 2x + 11 = 180

• 3x - 11 = 2x + 11

• 2x + 11 = 60

• 2y = 2x - 11 + 2x + 11

Multiple Choice

The base angles must be congruent, so 3x - 11 = 2x + 11.

• Got it!

• Confused? Call the teacher.

Multiple Choice

What does x equal?

• 22

• 55

• 14

• 50

Multiple Choice

Now that you know what x equals (22), what is the measure of each base angle?

• 44

• 110

• 44

• 55

Multiple Choice

Now that you know what the base angles equal (55), what is the measure of the vertex angle?

• 70

• 110

• 68

• 55

Multiple Choice

Now that you know that the vertex angle must be 70 degrees, what is the value of y?

• 70

• 35

• 55

• 140

Multiple Choice

What equation would you solve to find the value of x?

• 2x + 2 + 2x + 2 + 3x + 1 = 180

• 2x + 2 + 3x + 1 = 180

• 2x + 2 + 3x + 1 + 3x + 1 =180

• 2x + 2 = 60

Multiple Choice

Solve this equation to find x.

2x + 2 + 2x + 2 + 3x + 1 = 180

• 10

• 25

• 26

• 18

Multiple Choice

x = ?

• 31

• 62

• 118

• 149

Multiple Choice

How many degrees does each angle measure in this equilateral triangle?

• 60

• 90

• 180

• 30

Multiple Choice

What does x = ?

• 60

• 90

• 180

• 30

Multiple Choice

ANSWER QUESTION #1.

• <J = <M

• <J = <L

• <K = <L

• <J = <MLN

Multiple Choice

ANSWER QUESTION #2.

• <LKN = <KLN

• <N = <MLN

• <LNM = <M

• <k = <M

Multiple Choice

The perimeter of this triangle is 36 meters. Notice what type of triangle it is. How long is each side length?

• 12

• 18

• 4

• 16

Multiple Choice

The perimeter of this triangle is 36 meters. What is the value of x?

• 12

• 3

• 4

• 6