Explanation Given: The given figure is, The line l is the perpendicular bisector of A C ¯ . Approach: If two sides of two triangles and angle between the sides are equal then, the triangles are congruent to each other by SAS criteria of congruent triangles. If two triangles are congruent to each other then, corresponding parts of congruent triangles will also be equal. Calculation: Consider the triangle Δ A B D and Δ B D C . From the given figure. A D ¯ ≅ D C ¯ ( l is perpendicular bisector of A C ¯ ) B D ¯ ≅ D B ¯ ∠ A C B = ∠ D C E ( 90 ° ) By SAS criteria of congruence triangles To determine b) To find: The value of x .

A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)

12th Edition

ISBN: 9780321987297

Author: Rick Billstein, Shlomo Libeskind, Johnny Lott

Publisher: PEARSON

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Chapter 12.1A, Problem 7A

To determine

a)

To find:

The value of x.

To determine

b)

To find:

The value of x.

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Chapter 12.1A, Problem 6A

Chapter 12.1A, Problem 8A

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Chapter 12 Solutions

A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)

Ch. 12.1 - If quadrilateral ABCDEFGH, then complete the...Ch. 12.1 - Can you construct a triangle using the lengths...Ch. 12.1 - A triangle has two sides of length 10cm and 14cm....Ch. 12.1 - For the figure below, answer the following. a. If...Ch. 12.1 - In a circle with centre A and radius AB, let P be...Ch. 12.1 - Prob. 6MC Ch. 12.1 - Prob. 7MC Ch. 12.1 - Prob. 8MC Ch. 12.1 - Prob. 9MC Ch. 12.1 - Explain why the quadrilateral ABCD is a kite.

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