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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 2: Q8. (page 57)

Name the definition or state the theorem that justifies the statement about the diagram.
If $\overset{\leftrightarrow}{R S} ⊥ \overset{\leftrightarrow}{T V}$ , then $∠ 8 ≅ ∠ 7$ .

Short Answer

Expert verified

The used definition is the definition of congruent adjacent angles.

Step by step solution

01

Step 1. Observe the given statement and figure.

The provided congruent angles are the result of relation between the provided lines.

02

Step 2. Identify the definition or theorem.

The observation of statement returns the definition of congruent adjacent angles that is the formation of congruent adjacent angles is done when two lines are having a relation that is perpendicular.

03

Step 3. State whether the definition is true or not.

As the definition of congruent adjacent angles matches with the provided statement so the definition of congruent adjacent angles is the required definition.

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Most popular questions from this chapter

Copy everything shown and supply missing statements and reasons.

Given: $D W = O N$

Prove: $D O = W N$

Proof:

State the hypothesis and the conclusion of each conditional.

If , then .

Justify each step.

$x - 2 = \frac{2 x + 8}{5}$

$5 (x - 2) = 2 x + 8$

$5 x - 10 = 2 x + 8$

$3 x - 10 = 8$

$3 x = 18$

$x = 6$

State the hypothesis and the conclusion of each conditional.

implies

Justify each statement with a property from algebra or property of congruence.

If $\bar{AB} ≅ \bar{CD}$ and $\bar{DC} ≅ \bar{EP}$ then $\bar{AB} ≅ \bar{EP}$ .

See all solutions

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