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Chapter 5: Q11 (page 168)

Quadrilateral ABCD is a parallelogram. Name the principal theorem or definition that justifies the statement.

m鈭�ABC=m鈭�CDA

Short Answer

Expert verified

The theorem that justifies the statement m鈭�ABC=m鈭�CDAis theorem 5-2 which states that opposite angles of a parallelogram are congruent.

Step by step solution

01

Step 1. Observe the diagram.

The given diagram is:

02

Step 2. Description of step.

The theorem 5-2 states that opposite angles of a parallelogram are congruent.

It is being given that quadrilateral ABCD is a parallelogram.

From the given diagram it can be noticed that the angles 鈭�ABC and 鈭�CDA are the opposite angles of the parallelogram ABCD.

Therefore, by using the theorem 5-2 it can be said that 鈭�ABC鈮�鈭�CDA.

Therefore, m鈭�ABC=m鈭�CDA.

03

Step 3. Write the theorem that justifies the statement.

Therefore, the theorem that justifies the statement m鈭�ABC=m鈭�CDAis theorem 5-2 which states that opposite angles of a parallelogram are congruent.

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