Chapter 2: Q2. (page 71)

Name or state the postulate, property, definition or theorem that justifies the statement.
If $∠ K ≅ ∠ L$ and $∠ L ≅ ∠ M$ , then $∠ K ≅ ∠ M$ .

Short Answer

Expert verified

The property that justifies the statement is the transitive property of Congruence.

Step by step solution

Step 1. State the transitive property of congruence.

The property states that if two objects that are congruent to the third object are also congruent to each other.

Step 2. State the explanation.

The transitive property of Congruence:

If $a = b$ and $b = c$ , then $a = c$

The statement “ $∠ K ≅ ∠ L$ and $∠ L ≅ ∠ M$ , then $∠ K ≅ ∠ M$ ” satisfies the above property.

Hence, the property that justifies the statement is transitive property of Congruence

Step 3. State the conclusion.

Therefore, the statement is justified by the transitive property of Congruence.

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Name or state the postulate, property, definition or theorem that justifies the statement.
If $∠ K ≅ ∠ L$ and $∠ L ≅ ∠ M$ , then $∠ K ≅ ∠ M$ .

Short Answer

Step by step solution

Step 1. State the transitive property of congruence.

Step 2. State the explanation.

Step 3. State the conclusion.

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Name or state the postulate, property, definition or theorem that justifies the statement.If ∠K≅∠Land ∠L≅∠M, then ∠K≅∠M.

Short Answer

Step by step solution

Step 1. State the transitive property of congruence.

Step 2. State the explanation.

Step 3. State the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Calculus

Geometry

Probability and Statistics

Logic and Functions

Pure Maths

Study anywhere. Anytime. Across all devices.

Name or state the postulate, property, definition or theorem that justifies the statement.
If $∠ K ≅ ∠ L$ and $∠ L ≅ ∠ M$ , then $∠ K ≅ ∠ M$ .