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Chapter 5: Q. 9 (page 200)

For the following figure, complete the statement about the diagram. Then state the definition, postulate or theorem that justify the answer.

If EC↔||BD↔ then∠7≅__

Short Answer

Expert verified

The statement is∠7≅∠1.

Step by step solution

01

Step 1- Check the figure.

Consider the figure.

02

Step 2- Apply the concept of the alternate interior angle property.

If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

03

Step 3- Step description.

Sincefrom the figure the two parallel lines are cut by a transversal thus the alternate interior will be congruent such that angle 7 is congruent to angle 1.

Thus, the statement is m∠1≅m∠7 and the postulate is alternate interior angle property.

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Most popular questions from this chapter

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

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