Bellwork1. What is the intersection of plane YXW and

plane UTV?

2. Is R on plane STW?

3. B is between D and E. If DE = 2.5 and BD = 1.3, what is BE?

1.5a Angle Relationships

Students will be able to identify if two angles are adjacent, vertical, supplementary, complementary or a linear pair.

Angle PairsSpecial Pairs Definition

KeywordExample Non-Example

Example 1

Draw the diagram and name the following:

a) Vertical angles:

b) Obtuse vertical angles:

c) Linear Pair:

d) Complementary angles:

e) Supplementary angles:

54

3 12

D M

L

K

N

O

Example 2

• The , what is the measure of its…

Complement?Supplement?

47m A

Perpendicular (Defn)--Toolbox • If two lines (segments, rays) form a

90° angle, then they are perpendicular ( ).

Example 3

• Find x so that . DZ ZP����������������������������

Ticket to Leave1. Name an angle adjacent to .2.Name an angle vertical to .3.Name an angle that forms a linear pair with .4.Name an angle that is supplementary to .

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JKGEKF

Homework

Worksheet

Adjacent Angles (Defn)

&SRT TRU &SRT SRU they overlap

Example Non-example

are adjacent angles

Pairs of Angles (cont’d)Vertical angles- nonadjacent angles formed by two intersecting lines.

not adjacent

Example Non-example

21

D

If two angles are vertical, then ______________________

<1 and <3

<2 and <4

Pairs of Angles (cont’d)

Linear Pair- adjacent angles whose noncommon sides are opposite rays. The angles form a linear pair.

5& 6

- not straightExample Non-example

1 2

D

If you have a linear pair, then ______________________