Question

Edwidge draws parallelogram STUV with a center at O . What must be true to prove that STUV is a parallelogram?(1 point) Responses SO¯¯¯¯¯¯¯≅VO¯¯¯¯¯¯¯¯ and TO¯¯¯¯¯¯¯ ≅UO¯¯¯¯¯¯¯¯ line segment cap s cap o is congruent to line segment cap v cap o and line segment cap t cap o comma line segment cap v cap o A n d line segment cap t cap o is congruent to line segment cap u cap o SO¯¯¯¯¯¯¯≅TO¯¯¯¯¯¯¯ and UO¯¯¯¯¯¯¯¯ ≅VO¯¯¯¯¯¯¯¯ line segment cap s cap o is congruent to line segment cap t cap o A n d line segment cap u cap o comma line segment cap t cap o and line segment cap u cap o is congruent to line segment cap v cap o ST¯¯¯¯¯¯¯≅UV¯¯¯¯¯¯¯¯ and TU¯¯¯¯¯¯¯ ≅SV¯¯¯¯¯¯¯ line segment cap s cap t is congruent to line segment cap u cap v A n d line segment cap t cap u comma line segment cap u cap v and line segment cap t cap u is congruent to line segment cap s cap v ST¯¯¯¯¯¯¯≅TU¯¯¯¯¯¯¯ and UV¯¯¯¯¯¯¯¯ ≅SV¯¯¯¯¯¯¯

Answer 1

To prove that quadrilateral STUV is a parallelogram, one of the definitions of a parallelogram is that opposite sides are congruent. Therefore, the correct response among the provided options must include relationships that demonstrate this.

The best option that confirms the properties of a parallelogram based on congruent sides is:

ST ¯¯¯¯¯¯¯ ≅ UV ¯¯¯¯¯¯¯ and TU ¯¯¯¯¯¯¯ ≅ SV ¯¯¯¯¯¯¯.

This means that:

• Side ST is congruent to side UV, and
• Side TU is congruent to side SV.

This verifies that STUV meets the criteria for being a parallelogram, as it shows that opposite sides are congruent.