Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 10 - Geometry - 10.2 Triangles - Exercise Set 10.2 - Page 629: 51

Answer

If the ratio of corresponding sides is 1 to 1, then it means that the lengths of the sides of both the triangles are exactly same.

Work Step by Step

Figures which have the same shape but it is not necessary that the same size are called similar triangles.Angles which have the same measurement of two triangles are called corresponding angles. Sides which are opposite to these corresponding angles are called corresponding sides. Ratios of the length of corresponding sides are equal. If the measurements of two angles of one triangle are equivalent to the two angles of the second triangle, then the two triangles are similar. If the ratio of corresponding sides is 1 to\[1\left( \frac{1}{1} \right)\], then it means that the lengths of the sides of both the triangles are exactly same.
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