Concept explainers
The proof for Theorem 6.21.
Explanation of Solution
Given:
Isosceles Trapezoid Theorem states that, “If a trapezoid is isosceles, then each pair of base
Calculation:
So, it is given that,
Draw the line segments BF and CE so that
Also, as BC is parallel to AD, BF and CE are congruent to each other.
According to the definition of perpendicular lines, angles BFA and CED are right angles.
Hence,
Given,
Thus, angle A is congruent to angle D and angle CBF is congruent to angle BCE by CPCTC.
Also, angles FBC and ECB are right angles.
So, by Angle Addition Postulate,
Chapter 6 Solutions
Geometry, Student Edition
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