aim: how can we identify angle pairs?

Aim: How can we identify angle pairs?

Do-Now: 1) If EG= 49, EF = 2x+ 3, and FG = 4x - 2, Find EF.

2) If m RQS = 2x - 1 and m SQT = x, find m RQS

R Q T

S

HW#7 p40/15-34, 44, 50-54, 56

1)Vertical angles

2)Adjacent angles

two angles whose sides are opposite rays

two angles with a common side,a common vertex.

Types of angle pair

1 23

4

3)Complementary angles

12

4)Supplementary angles

two angles whose measures have sum 90.

Each angle is called the complement of the other

two angles whose measures have sum 180

Each angle is called the supplement of the other

50

40

AB

3 4

Ex1) In the diagram identify pairs of numbered angles that are related as follows:

12

3

45

a. complementary

b. supplementary

c. vertical

d. Name two pairs of adjacent angles

What can you conclude from the information in the diagram?

1

234

5

Ex2) Can you make each conclusion from the information in the diagram? Explain. (symbol in a and b is congruent)

a. TW WV

b. PW WQ

C. TV PQ

d. TV bisects PQ

e. W is the midpoint of TV.

≅≅

f. PQ bisects TV.

P

T

V

W Q

Assessment: Worksheet

geometry 1-6 student worksheet.docx