Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 6 - Polygons and Quadrilaterals - 6-4 Properties of Rhombuses, Rectangles, and Squares - Practice and Problem-Solving Exercises - Page 382: 58

Answer

The first step of the indirect proof should state, "$\triangle PQR$ is a right triangle."

Work Step by Step

The first step to writing an indirect proof is to assume that the conclusion is not true. Therefore, the first step of the indirect proof should state, "$\triangle PQR$ is a right triangle." The rest of the proof tries to prove that the triangle is a right triangle, but when it doesn't, then we have to assume that the triangle isn't a right triangle after all.
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