11-3 Angle Relationships

Notes: Section 11-3

Angle Relationships & Parallel Lines

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Two angles are Two angles are complementarycomplementary if if they add up to 90°.they add up to 90°.

40°40°

50°50°

Notes: Section 11-3


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Two angles are Two angles are supplementarysupplementary if if they add up to 180°.they add up to 180°.

40°40°

140°140°

Notes: Section 11-3


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Two angles that Two angles that have the same have the same measure are called measure are called congruentcongruent..

40°40°

40°40°

40 40 40 40

Notes: Section 11-3


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When a transversal When a transversal cuts two parallel cuts two parallel lines, eight angles lines, eight angles are formed.are formed.

3 3 1 1

4 4 2 2

8 8 5 5

7 7 6 6

Notes: Section 11-3


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Some angles formed Some angles formed are congruent pairs:are congruent pairs:

3 3 1 1

4 4 2 2

8 8 5 5

7 7 6 6

Alternate Alternate Interior Interior AnglesAngles

4 4 6 6 5 5 3 3

Notes: Section 11-3


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3 3 1 1

4 4 2 2

8 8 5 5

7 7 6 6

Corresponding Corresponding AnglesAngles

2 2 6 6 5 5 1 1 4 4 7 7 3 3 8 8

Notes: Section 11-3


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3 3 1 1

4 4 2 2

8 8 5 5

7 7 6 6

Vertical Vertical AnglesAngles2 2 4 4 3 3 1 1 6 6 7 7 5 5 8 8

Notes: Section 11-3


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Line segment AB is Line segment AB is cut in half by line cut in half by line EF. Point EF. Point MM is is called the called the midpointmidpoint..

A A B B

EE

FFMM

Two congruent Two congruent segments are segments are formed:formed: AM AM MB MB..

Notes: Section 11-3


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11-3 Angle Relationships

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