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
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- 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."