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Chapter 2: Q10. (page 57)

Name the definition or state the theorem that justifies the statement about the diagram.

If ∠5≅∠6, then RS↔⊥TV↔.

Short Answer

Expert verified

The used definition is the definition of perpendicular lines.

Step by step solution

01

Step 1. Observe the given statement and figure.

The provided relation between the lines is the result of the given relation between the angles.

02

Step 2. Identify the definition or theorem.

The observation of statement returns the definition of perpendicular lines that is the relation between two lines is perpendicular when the measurement of angles formed by those lines is equal to each other.

03

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

As the definition of the perpendicular line matches with the provided statement so the definition of perpendicular lines is the required definition.

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Most popular questions from this chapter

Provide a counterexample to show that each statement is false. You may use words or draw a diagram.

If a number is divisible by 4, then it is divisible by 6.

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

If 5y=−20then y=−4.

State which postulate, definition, or theorem justifies the statement about the diagram.

If E is the midpoint of AF¯, then AE¯≅EF¯.

State the hypothesis and the conclusion of each conditional.

only if

State which definition, postulate, or theorem justifies the statement about the diagram.

m∠3+m∠4=180
See all solutions

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