Aim 50  test review 2019.notebook

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March 15, 2019

Do Now: Use the parallel lines cut by a transversal below to answer questions 1 – 7.

1) Name one pair of alternate interior angles.

2) Name one pair of vertical angles.

3) Name one pair of corresponding angles.

4) Name one pair of supplementary angles.

5) Name one pair of alternate exterior angles.

6) If m < 2 = 115o, the find the measure of the other angles.

a) m < 1 = b) m < 3 = c) m < 4 = d) m < 5 =

e) m < 6 = f) m < 7 = g) m < 8 =

7) Prove that m

Aim 50  test review 2019.notebook

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March 15, 2019

linear pair sum to 

180 degreescomplementary angles 

sum to 90 degrees

vertical angles are congruent

VOCAB CHEAT SHEET

Corresponding angles

angles that are in 

the same position

Alt. Exterior

on the outside but on 

the opposite side of the 

transversal

Alt. Interior

on the inside but on 

the opposite side of the transversal

Parallel Lines

Symbols

congruent

equalperpendicular lines

form right anglesparallel lines

Aim 50  test review 2019.notebook

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March 15, 2019

63112

A

B C

L1

L2

Line 1 and line 2 are intersected by ray m.

Find the measure of 

Aim 50  test review 2019.notebook

4

March 15, 2019

78

56

A

B

C

Find the measure of 

Aim 50  test review 2019.notebook

5

March 15, 2019

78

56

A

B

C

Find the measure of 

Aim 50  test review 2019.notebook

6

March 15, 2019

8251A

B

C

Find the measure of 

Aim 50  test review 2019.notebook

7

March 15, 2019

74A

B

C

Find the measure of 

Aim 50  test review 2019.notebook

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March 15, 2019

FB II IH. If the m< ACB = 44o and the m< CEG = 81o, find m< JGK.

A C

B

D

E

F

I

G J

HK

Explain using your own method.

Explain using the exterior angle theorem.

Check for Understanding

Aim 50  test review 2019.notebook

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March 15, 2019

Solve for x. and name the triangle.

Solve for x. 

30

x x

x

46 x

x

x

46

x

x 54

127

x

65

73

Partner Practice

Aim 50  test review 2019.notebook

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March 15, 2019

30

60

A

B C

DE

Directions: Triangle ABC is similar to triangle AED. 

1) If AC = 24, BC = 16, and AD = 6, Solve for the measure of ED.

2) What is the ratio from AED to ABC?

3) What is the measure of angle x?  

x

Partner Practice

Aim 50  test review 2019.notebook

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March 15, 2019

A

BC

A'

B'C'

In the diagram below, AC = 12, A'C' = 9, BC = 4, B'C' = 3, AB = 16, A'B' = 12. Are the following triangles similar? If so, identify the scale factor.

1.

A'

B' C'

A

B C

In the diagram below, AB = 2, A'B' = 8, BC = 3, B'C' = 12, AD = 4, A'D' = 16, DC = 1, D'C' = 4 Are the following figures similar? If so, identify the scale factor.

2.

D' D

Partner Practice

Aim 50  test review 2019.notebook

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March 15, 2019

A'

B'C'

A

BC

The diagram below is a scale drawing. If AC = 8, AB = 10 , A'C'= 20, find a) A'B' b) the scale factor

3.

ΔLMN is a scale drawing of ΔQRS, RQ = 30, QS = 21, SR = 27, and LN = 7. a) What is the scale factor?b) What is the length of ML?

4.

Partner Practice

Aim 50  test review 2019.notebook

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March 15, 2019

find all angles.

Challenge I

Aim 50  test review 2019.notebook

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March 15, 2019

A

B

C

D

E

Challenge II

F

G

DH parallel to AE

AB parallel to FG

Prove triangle ABC is similar to triangle FGC. Explain in words.

H

128

67

Aim 50  test review 2019.notebook

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March 15, 2019

FB II IH. If the m< DEF = 92o and the m< CGH = 19o, find the measure of all angles.

A C

B

D

E

F

I

G J

HK

Explain using your own method.

Explain using the exterior angle theorem.

1

23

4

1413

1112

89

56

10

7

Challenge III

Aim 50  test review 2019.notebook

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March 15, 2019

ab

c

d 3

6

8

4

The  figure  shows a 12 by 9 ft rectangle divided into four rectangular parts. Determine if the rectangles are similar.

Challenge IV

Attachments

PARALLEL LINES CUT BY A TRANSVERSAL.gsp

HW 20.pdf

SMART Notebook

SMART Notebook

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