Prove Angle Pair Relationships

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Presentation transcript:

Prove Angle Pair Relationships Section 2.7 NJSLS G.CO.9

In this section… SWBAT: Use the properties of special pairs of angles Use the facts about angle pairs to find measures of angles NJSLS G.CO.9

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 NJSLS G.CO.9

Angles cont. 1 2 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. 1 2 NJSLS G.CO.9

Angles Cont. Adjacent angles are angles that share a common interior side. Common side NJSLS G.CO.9

“New” Theorems NJSLS G.CO.9

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Identify Congruent Pairs of Angles 1 3 2 <1 and <2, <1 and <3, and <2 and <3 NJSLS G.CO.9

Identify Congruent Pairs of Angles <1 & <2, <1 & <3, <1 & <4, <2 & <3, <2 & <4, <3 & <4 NJSLS G.CO.9

Identify Congruent Pairs of Angles <1 & <3, <4 & <2 NJSLS G.CO.9

Find the measures of the angles and the values of x and y. NJSLS G.CO.9

Page 127 3-5, 12, 13, 17-21 NJSLS G.CO.9