Katherine wants to prove that the measures of the interior angles of a triangle have a sum of 180°. She draws a triangle and extends one of the sides through a vertex. She then draws a line through this vertex that is parallel to the opposite side, as shown in the diagram below. 2 3 Which of the following statements must be true and could be used as part of Katherine's proof? Select all that apply. c. mz3 = mz4 + m25 b. mz2 = mz4 e. mz1 + mz2 + mz4 + mz5 = 180° d. mz3 + mz4 + mz5 = 180° %3D a. mz1 = m25

Katherine wants to prove that the measures of the interior angles of a triangle have a sum of 180°. She draws a triangle and extends one of the sides through a vertex. She then draws a line through this vertex that is parallel to the opposite side, as shown in the diagram below. 2 3 Which of the following statements must be true and could be used as part of Katherine's proof? Select all that apply. c. mz3 = mz4 + m25 b. mz2 = mz4 e. mz1 + mz2 + mz4 + mz5 = 180° d. mz3 + mz4 + mz5 = 180° %3D a. mz1 = m25

Name: Katherine wants to prove that the measuresof the interior angles of a
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Description: Katherine wants to prove that the measuresof the interior angles of a triangle have a sumof 180°. She draws a triangle and extends oneof the sides through a vertex. She then drawsa line through this vertex that is parallel to theopposite side, as sh

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter2: Parallel Lines

Section2.2: Indirect Proof

Problem 11E: Which of the following statements would you prove by the indirect method? a In triangle ABC, if...

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