# Geometry 2-Column Proof Help! Please!!?

Write a two-column proof to show RSTW is a parallelogram using the method that states that if one pair of opposite sides is both parallel and congruent then the quadrilateral is a parallelogram.

Given: Angle WRS is congruent to Angle STW

Angle RSW is congruent to Angle TWS

Prove: RSTW is a parallelogram

Picture Provided Below!

### 2 Answers

- 1 decade agoFavorite Answer
take triangle RSW and triangle SWT

side SW is common in both triangle

<WRS = <STW (given)

and <RSW = <TWS (given)

so from A-A-S congruency theorem both triangle are congruent

so side RS = WT

and RS || WT because alternate angles are equal so

RSTW is a parallelogram

- partonLv 43 years ago
tutor that angle4 is congruent to angle2 and angle1 is congruent to angle3. to start up off say given-ab is congruent to cd, ab is parallel to cd. the tip of your info could sound something like "if 2 lines are decrease by means of a transversal and alter indoors angles are congruent, then the lines are parallel."