section 2.7 prove angle pair relationships. in this section… we will continue to look at 2 column...
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Section 2.7
PROVE ANGLE PAIR RELATIONSHIPS
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In this section…We will continue to look at 2 column
proofs
The proofs will refer to relationships with angles.
We will also use the facts about angle pairs to find measures of angles. (Algebra)
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Recall these facts about angles
Right angles have a measure of 90˚Obtuse angles have angle measures greater than 90˚
and less than 180 ˚Acute angles have angle measures greater than 0 ˚
and less than 90˚Straight angles have a measure of 180˚Complementary angles are 2 angles whose sum
equals 90˚Supplementary angles are 2 angles whose sum equals
180˚Supplementary angles aren’t necessarily a linear pair
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Angles cont.Perpendicular lines have an angle
measure of 90˚ Linear pairs are two angles that are supplementary
and share a common side.
Vertical pairs are angles created by two intersecting lines that are opposite each other. They also have the same angle measure.
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Angles Cont.Adjacent angles are angles that share a
common interior side.Common side
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“New” Theorems
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Identify Congruent Pairs of Angles
<1 and <2, <1 and <3, and <2 and <3
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Identify Congruent Pairs of Angles
<1 & <2, <1 & <3, <1 & <4, <2 & <3, <2 & <4, <3 & <4
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Identify Congruent Pairs of Angles
<1 & <3, <4 & <2
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Find the measures of the angles and the values of x and y.
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