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Write the converse of each theorem/postulate and draw a diagram representing each converse. . If two lines are parallel with an intersect of a transversal, then the two lines and a transversal forms corresponding angles that are congruent.
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Write the converse of each theorem/postulate and draw a diagram representing each converse. • If two lines are parallel with an intersect of a transversal, then the two lines and a transversal forms corresponding angles that are congruent. • If two lines are parallel intersected by a transversal, then the two lines and a transversal form alternate interior angles that are congruent. • If two lines are parallel with an intersect of a transversal, then the two lines and transversal form same-side interior angles that are supplementary. • If two lines are parallel intersected by a transversal, then the two lines and a transversal form alternate exterior angles that are congruent. • If two lines are parallel intersected by a transversal, then the two lines and transversal form same-side exterior angles that are supplementary.
1. Corresponding Angles Postulate If two lines are parallel with an intersect of a transversal, then the two lines and a transversal forms corresponding angles that are congruent. • Converse of the Corresponding Angles Postulate: If two lines and a transversal form corresponding angles that are congruent, then two lines are parallel.
2. Alternate Interior Angles Theorem If two lines are parallel intersected by a transversal, then the two lines and a transversal form alternate interior angles that are congruent. • Converse of the Alternate Interior Angles Theorem: If two lines and a transversal form alternate interior angles that are congruent, then the two lines are parallel.
3. Same-side Interior Angles Theorem If two lines are parallel with an intersect of a transversal, then the two lines and transversal form same-side interior angles that are supplementary. • Converse of the SSIA Thm: If two lines and a transversal form SSIA that are supp, then the two lines are parallel
4) Alternate Exterior Angles Theorem If two lines are parallel intersected by a transversal, then the two lines and a transversal form alternate exterior angles that are congruent. Converse Alternate Exterior Angles Theorem If two lines and a transversal form AEA that are congruent, then the two lines are parallel
5) Same Side Exterior Angles Thm If two lines are parallel intersected by a transversal, then the two lines and transversal form same-side exterior angles that are supplementary. Converse of SSEA Thm If two lines and a transversal are SSEA that are supp, then the two lines are parallel
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