Which statements must be true?Select each correct answer.UV¯¯¯¯¯∥JL¯¯¯¯¯UW=12KLUW=VWUV=UKJK=2VW

Accepted Solution

Take a look at the picture and note that the same tick marks represent that they are congruent parts. 

A. UV is parallel to JL. Yes, this is correct. They are parallel because they don't intersect at any point.

B. UW = 12KL. This is incorrect. The truth is, UW = (1/2)(KL). If this is a typo error and there should've been a '/' in between 1 and 2, then this is acceptable.

C. UW = VW. As you can see, UKVW is a rectangle. They have two pairs of congruent sides. And UW≠VW, so this is incorrect.

D. UV = UK. The diagonal of a rectangle is never equal with one of its sides. So, this is incorrect.

E. JK = 2VW. Since VW=UK and we can see that twice the length of UK is equal to JK, then this is correct.