B. Number the sentences in an order to complete an indirect proof. Given: In A EFG, EF = FG Prove: mzE 90° O Therefore the temporary assumption that mLE = 90° must be false. O But this contradicts the fact that the sum of the measures of the angles of a triangle is 180. O Assume temporarily that mzE = 90° Then mLG = 90°, and mzE + mzF + m2G = 90 + m²F + 90 > 180

Elementary Geometry For College Students, 7e
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Chapter2: Parallel Lines
Section2.1: The Parallel Postulate And Special Angles
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b.Number the sentences in an order to complete an indirect proof.
B. Number the sentences in an order to complete an indirect proof.
Given: In A EFG, EF = FG
Prove: mLE # 900
O Therefore the temporary assumption that mLE = 90° must be false.
O But this contradicts the fact that the sum of the measures of the angles of a triangle
is 180.
Assume temporarily that mzE = 90º
Then m2G =
90°, and mLE + mzF ++ mzG = 90 +m²F + 90 > 180
It follows that m¿E # 90°
Transcribed Image Text:B. Number the sentences in an order to complete an indirect proof. Given: In A EFG, EF = FG Prove: mLE # 900 O Therefore the temporary assumption that mLE = 90° must be false. O But this contradicts the fact that the sum of the measures of the angles of a triangle is 180. Assume temporarily that mzE = 90º Then m2G = 90°, and mLE + mzF ++ mzG = 90 +m²F + 90 > 180 It follows that m¿E # 90°
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