Geometry Unit 3 Review ANSWER KEY

Semester One 2015-2016

1. Find x.

2.

3. Find m OSE .

4.

1 2

3 4

W O

R K

Given: 1 4

Which two lines must be parallel?

__________ || __________

Write one sentence explaining how you know:

R

O S

E

42°

76°

Given: BC is parallel to AD .

BC AD

Prove: ABC CDA

Statements Reasons

5. Key information about congruent angles is marked in the diagram. Look carefully, now consider these

two statements:

I. ||FE GH

II. FG EH||

Which statement(s) are true?

A. I only

B. II only

C. I and II

D. Neither I nor II

H

F E

G

6. In the figure below, 𝑝 || 𝑟. Fill in all the missing angles. Find the measures of the numbered angles.

m∠1 = ______________ m∠2 = ______________ m∠3 = ______________

m∠4 = ______________ m∠5 = ______________ m∠6 = ______________

7. Given: l m

m1 = (11x – 20)°

m3 = (7x + 8)°

Find: m2.

l

m

t

1

2

3

43o

141o

63o

𝑝

𝑟

1

2

3

5

4

6

8. Find all missing angles. Then determine (and justify) whether or not ||JO CE .

9. Fill in all the missing angles. Look for parallel lines and different transversals.

J O

I

C

E

64˚

45o

65o