Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 1 - Trigonometric Functions - Section 1.2 Angle Relationships and Similar Triangles - 1.2 Exercises - Page 15: 8

Answer

Angle A corresponds to Angle P. Angle B corresponds to Angle Q. Angle C corresponds to Angle R, Side AB corresponds to Side PQ. Side BC corresponds to Side QR. Side CA corresponds to Side RP.

Work Step by Step

Let's remember that for triangle ABC and triangle PQR to be similar two conditions must be met: 1) The corresponding angles have the same measure. (These angles are determined by the small arcs at the angles) 2) The corresponding sides are proportional. Therefore, the corresponding angles are determined by the small arcs at the angles and the corresponding sides are the segments where their ratios are equal because of the corresponding angles.
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