Geometry Review

Types of Angles

100

What is the name for <TYU and <WYX

Vertical

200

What is the name for <UYV and <VYW

Complimentary Angles

300

What is the name(s) for <TYX and <TYU

Linear Pair and Supplementary Angles

400

What is the name for <VYT and <TYX

None

500

What is the name for <TYX and <UYV

None

Find missing Angles

100

What is angle X

115

200

What is angle Y

115

300

What is Angle Z

65

400

What is Angle B

72

500

What is Angle A

108

Finding X

100

What is X for Angle A

5

200

What is X for Angle B

7

300

What is X for Angle C

8

400

What is X for Angle E

12

500

What is X for Angle F

7

Parallel and Perpendicular Lines

100

What makes two lines parallel?

Same slop

200

What makes two lines perpendicular

slope is opposite reciprocal of each other 

300

Which other the following are perpendicular to each other:

A. y = 1/2x - 7

B. y = -1/2x + 4

C. y = 3x - 4

D. y = -2x + 1

A and D

400

A line passing through the point (-3,1) that is parallel to y = 2x - 4

y = 2x+7

500

A line passing through (4,3) that is perpendicular to 

y = 1/3x - 6

y = -3x + 15

Proofs

100

What goes in line 2?

Statement                                  Reason

1. <1 and <3 are supp.               1. Given

2. ____________                       2. Def of Supp. <'s

3. m<2 = m<3                          3. _____________

4. m<1 + m<2 = 180                4. _____________

5. <1 and <2 are supp.              5. _____________

6. m || n                                   6. _____________

m<1 + m<3 = 180 (E)

200

What is line 3:

Statement                                  Reason

1. <1 and <3 are supp.               1. Given

2. ____________                       2. Def of Supp. <'s

3. m<2 = m<3                          3. _____________

4. m<1 + m<2 = 180                4. _____________

5. <1 and <2 are supp.              5. _____________

6. m || n                                   6. _____________

Vertical Angles Theorem (H)

300

What is line 4:

Statement                                  Reason

1. <1 and <3 are supp.               1. Given

2. ____________                       2. Def of Supp. <'s

3. m<2 = m<3                          3. _____________

4. m<1 + m<2 = 180                4. _____________

5. <1 and <2 are supp.              5. _____________

6. m || n                                   6. _____________

Linear Pair (F)

400

Wht is line 5:

Statement                                  Reason

1. <1 and <3 are supp.               1. Given

2. ____________                       2. Def of Supp. <'s

3. m<2 = m<3                          3. _____________

4. m<1 + m<2 = 180                4. _____________

5. <1 and <2 are supp.              5. _____________

6. m || n                                   6. _____________

Definition of Supp. Angles (L)

500

What is line 6:

Statement                                  Reason

1. <1 and <3 are supp.               1. Given

2. ____________                       2. Def of Supp. <'s

3. m<2 = m<3                          3. _____________

4. m<1 + m<2 = 180                4. _____________

5. <1 and <2 are supp.              5. _____________

6. m || n                                   6. _____________

Converse of Same-Side Interior Angles Theorem (A)