Question

2. Write converses of the following statements.
(ii) If a pair of the interior angles made by a transversal of two lines are supple-
mentary then the lines are parallel.
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Answer 1

Answer:

If two lines are parallel then a pair of the interior angle made by transversal.

Answer 2

Answer:

If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary . When two lines are cut by a transversal, the pairs of angles on either side of the transversal and inside the two lines are called the alternate interior angles .

Step-by-step explanation:

Exploring Converses

Work with a partner. Write the converse of each conditional statement. Draw a

diagram to represent the converse. Determine whether the converse is true. Justify

your conclusion.

a. Corresponding Angles Theorem (Theorem 3.1)

If two parallel lines are cut by a transversal, then the

pairs of corresponding angles are congruent.

Converse

b. Alternate Interior Angles Theorem (Theorem 3.2)

If two parallel lines are cut by a transversal, then the

pairs of alternate interior angles are congruent.

Converse

c. Alternate Exterior Angles Theorem (Theorem 3.3)

If two parallel lines are cut by a transversal, then the

pairs of alternate exterior angles are congruent.

Converse

d. Consecutive Interior Angles Theorem (Theorem 3.4)

If two parallel lines are cut by a transversal, then the

pairs of consecutive interior angles are supplementary.

Converse

Communicate Your Answer ommunicate Your Answer

2. For which of the theorems involving parallel lines and transversals is

the converse true?

3. In Exploration 1, explain how you would prove any of the theorems

that you found to be true.

PLEASE MARK M THE BRAINLIEST