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 mzE = 90° must be false. O But this contradicts the fact that the sum of the measures of the angles of a triangle is 180. L Assume temporarily that mzE = 90° O Then mzG = 90°, and mzE + mLF + mzG = 90 + m2F +90> 180 It follows that mLE # 90°

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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B. Number the sentences in an order to complete an indirect proof.
Given: In A EFG, EF = FG
Prove: mLE + 90°
O Therefore the temporary assumption that mLE = 90° must be false.
L) 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 m2G = 90°, and mzE + m2F + m2G = 90 + m2F +90 > 180
It follows that mLE # 90°
Transcribed Image Text:B. Number the sentences in an order to complete an indirect proof. Given: In A EFG, EF = FG Prove: mLE + 90° O Therefore the temporary assumption that mLE = 90° must be false. L) 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 m2G = 90°, and mzE + m2F + m2G = 90 + m2F +90 > 180 It follows that mLE # 90°
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