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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset Vaia Explanations$ Math

Student Edition · 227 pages

ISBN: 9780395977279

Chapter 10: Q2. (page 380)

A quadrilateral with both pairs of opposite angles congruent is a ______ .

Short Answer

Expert verified

Parallelogram.

Step by step solution

01

Step 1. Given information.

The given statement is “A quadrilateral with both pairs of opposite angles congruent is a $\underline{}$ ”.

02

Step 2. Concept used.

As per the definition, the median of a triangle is a segment drawn from a vertex to the mid-point of its opposite side.

03

Step 3. Solution.

A parallelogram has two pairs of opposite angles equal.

So, the quadrilateral with both pairs of opposite angles congruent is called as Parallelogram.

Therefore, the blank is filled with term Parallelogram.

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Most popular questions from this chapter

Describe how you would construct each of the following:

The square whose sides each have length $A C$ .

Draw a segment and let its length be $1$ .

$(a) .$ Construct a segment of length $\sqrt{5}$ .

$(b) .$ Construct a segment of length $\frac{1}{2} + \frac{\sqrt{5}}{2}$ , or $\frac{1 + \sqrt{5}}{2}$ .

$(c) .$ Construct a golden rectangle whose sides are in the ratio $1 : \frac{1 + \sqrt{5}}{2}$ .

$(a)$

Exercise $3$ suggests that you could construct other angles with certain measures. Name some.

On your paper, draw two angles roughly like those shown. Then for Exercise $11 - 14$ construct an angle having the indicated measure. $x + y$

Repeat Exercise $8$ , but use the $A S A$ method.

See all solutions

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