Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition
Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition
10th Edition
ISBN: 9780134673301
Author: Waits, Foley, Kennedy, Bock Demana
Publisher: PEARSON
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Chapter P.2, Problem 59E
Solution

Whether the given statement is true or false.

True, since the triangles are similar.

Given:

The ΔABC and ΔAMM' are right triangles and M is the midpoint of segment AB , then M’ is the midpoint of segment AC .

  Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition, Chapter P.2, Problem 59E

Calculation:

Note that the ΔABC and ΔAMM' are similar triangles as they have two congruent angles. So, the corresponding sides of the triangles must have the same ratio.

Since the ratio of side AM and side AB is 12 , the ratio of the sides AM’ and AC must be 12 as well.

Thus, M’ must be the midpoints of the segment AC .

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Chapter P.2, Problem 58E
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Chapter P.2, Problem 60E

Chapter P Solutions

Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition

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