7/28/2019 Angleline and Angle Relationships

1/25

LINE AND ANGLERELATIONSHIPS

Free powerpoints at http://www.worldofteaching.com

http://www.worldofteaching.com/http://www.worldofteaching.com/

7/28/2019 Angleline and Angle Relationships

2/25

TYPES OF ANGLES

Acute Angles havemeasures less than90.

Right Angles havemeasures equal to 90.

Obtuse Angles havemeasures between 90

and 180. Straight Angles have

measures equal to180

7/28/2019 Angleline and Angle Relationships

3/25

PARALLEL LINES

Def: Lines that do not intersect. Parallel

lines are always the same distance apart.

Illustration:

Notation: l || m AB|| CD

l

m

A

B

C

D

7/28/2019 Angleline and Angle Relationships

4/25

PERPENDICULAR LINES

Def: Lines that intersect to form a rightangle.

Illustration:

Notation:m n

Key Fact: 4 right angles are formed.

m

n

7/28/2019 Angleline and Angle Relationships

5/25

Def: A line that intersects two lines at

different points.

Illustration:

Transversal

t

7/28/2019 Angleline and Angle Relationships

6/25

Vertical Angles

Two angles that are opposite angles.

1 2

3 4

5 6

7 8

t

142 35 86 7

7/28/2019 Angleline and Angle Relationships

7/25

Vertical Angles

Find the measures of the missing angles

125 ?

?

55

t

7/28/2019 Angleline and Angle Relationships

8/25

Vertical Angles

Find the measures of the missing angles

125

55

t

55

125

7/28/2019 Angleline and Angle Relationships

9/25

Angle Relationships

Complementary Anglesare two angles whosesum is 90.

Supplementary Angles

are two angles whosesum is 180.

Angles do not have

to be Adjacent to beComplementary orSupplementary.

Adjacent Angles

are two angles thatshare a common side.

7/28/2019 Angleline and Angle Relationships

10/25

Supplementary Angles/

Linear Pair

Two angles that form a line (sum=180)

1 2

3 4

5 6

7 8

t

5+6=1806+8=1808+7=1807+5=180

1+2=1802+4=1804+3=1803+1=180

7/28/2019 Angleline and Angle Relationships

11/25

Supplementary Angles/

Linear Pair

Find the measures of the missing

angles

? 72 ?

t

180 - 72

7/28/2019 Angleline and Angle Relationships

12/25

Supplementary Angles/

Linear Pair

Find the measures of the missing

angles

72

t

108 108 180 - 72

7/28/2019 Angleline and Angle Relationships

13/25

Corresponding Angles

Two angles that occupy corresponding

positions.

Top Left

t

Top Left

Top Right

Top Right

Bottom Right

Bottom Right

Bottom Left

Bottom Left

152 63 74 8

1 2

3 4

5 6

7 8

7/28/2019 Angleline and Angle Relationships

14/25

Corresponding Angles

Find the measures of the missing angles

145

?

t

35

7/28/2019 Angleline and Angle Relationships

15/25

Corresponding Angles

Find the measures of the missing angles

145

t

35

145

7/28/2019 Angleline and Angle Relationships

16/25

Alternate Interior Angles

Two angles that lie between parallel lineson opposite sides of the transversal

t

3 64 5

1 2

3 4

5 6

7 8

7/28/2019 Angleline and Angle Relationships

17/25

Alternate Interior Angles

Find the measures of the missing

angles

82 ?

t

98

7/28/2019 Angleline and Angle Relationships

18/25

Alternate Interior Angles

Find the measures of the missing

angles

82

t

98 82

7/28/2019 Angleline and Angle Relationships

19/25

Alternate Exterior Angles

Two angles that lie outside parallel lineson opposite sides of the transversal

t

2 71 8

1 2

3 4

5 6

7 8

7/28/2019 Angleline and Angle Relationships

20/25

Alternate Exterior Angles

Find the measures of the missing

angles

120

?

t

60

7/28/2019 Angleline and Angle Relationships

21/25

Alternate Exterior Angles

Find the measures of the missing

angles

120

t

60 120

7/28/2019 Angleline and Angle Relationships

22/25

Consecutive Interior Angles

Two angles that lie between parallel lineson the same sides of the transversal

t

3 +5 = 1804 +6 = 180

1 2

3 4

5 6

7 8

7/28/2019 Angleline and Angle Relationships

23/25

Consecutive Interior Angles

Find the measures of the missing

angles

?

t

135 180 - 135

7/28/2019 Angleline and Angle Relationships

24/25

Consecutive Interior Angles

Find the measures of the missing

anglest

135

45

180 - 135

7/28/2019 Angleline and Angle Relationships

25/25

This presentation is a modified version

of the Slideshow: Lines and Angles 2

by Miss Patel. The original SlideshowPresentation can be found at

www.worldofteaching.com

http://www.worldofteaching.com/powerpoints/maths/linesandangles2.ppthttp://www.worldofteaching.com/http://www.worldofteaching.com/http://www.worldofteaching.com/powerpoints/maths/linesandangles2.ppt