Q6 In each exercise, you could prov... [FREE SOLUTION]

91影视

Geometry

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

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

Chapter 5: Q6 (page 197)

In each exercise, you could prove that quadrilateral $SANG$ is a parallelogram if one more fact, in addition to those stated were given. State the fact.
$鈭� ASG 鈮� 鈭� GNA$

Short Answer

Expert verified

The additional fact that must be given so that $S A N G$ can be a parallelogram is that the angles $鈭� SAN$ and $鈭� SGN$ must be congruent.

Step by step solution

Step 1. Observe the given diagram.

The given diagram is:

Step 2. Description of step.

It is being given that $鈭� A S G 鈮� 鈭� G N A$ .

If the pairs of opposite angles of a quadrilateral are congruent then the quadrilateral is a parallelogram.

From the given diagram it can be observed that the pairs of opposite angles of the quadrilateral $S A N G$ are $鈭� A S G$ , $鈭� G N A$ and $鈭� S A N$ , $鈭� S G N$ .

Therefore, the quadrilateral $S A N G$ can be a parallelogram if $鈭� A S G 鈮� 鈭� G N A$ and $鈭� S A N 鈮� 鈭� S G N$ .

As, $鈭� A S G 鈮� 鈭� G N A$ , therefore the angles $鈭� S A N$ and $鈭� S G N$ must be congruent so that $S A N G$ can be a parallelogram.

Step 3. Description of step.

Therefore, the additional fact that must be given so that $S A N G$ can be a parallelogram is that the angles $鈭� S A N$ and $鈭� S G N$ must be congruent.

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91影视

In each exercise, you could prove that quadrilateral $SANG$ is a parallelogram if one more fact, in addition to those stated were given. State the fact.
$鈭� ASG 鈮� 鈭� GNA$

Short Answer

Step by step solution

Step 1. Observe the given diagram.

Step 2. Description of step.

Step 3. Description of step.

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91影视

In each exercise, you could prove that quadrilateral SANGis a parallelogram if one more fact, in addition to those stated were given. State the fact.鈭�ASG鈮�鈭�GNA

Short Answer

Step by step solution

Step 1. Observe the given diagram.

Step 2. Description of step.

Step 3. Description of step.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Probability and Statistics

Geometry

Statistics

Applied Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

In each exercise, you could prove that quadrilateral $SANG$ is a parallelogram if one more fact, in addition to those stated were given. State the fact.
$鈭� ASG 鈮� 鈭� GNA$