{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Pre-Calculus Homework Solutions 250

Pre-Calculus Homework Solutions 250 - parallelogram Use the...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
parallelogram. Use the Distance Formula to determine whether the opposite sides are congruent. AD ¬ ( x 2 x 1 ) 2 ( y 2 y 1 ) 2 ¬ [ 4 ( 5)] 2 [2 ( 4)] 2 ¬ 37 BC ¬ (4 3) 2 [4 ( 2)] 2 ¬ 37 AB ¬ [3 ( 5)] 2 [ 2 ( 4)] 2 ¬ 68 CD ¬ ( 4 4) 2 (2 4) 2 ¬ 68 Since the measures of both pairs of opposite sides are equal, ABCD is a parallelogram. 28. Yes; If the midpoints of the diagonals are the same, the diagonals bisect each other. If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. Find the midpoints of WY and XZ . WY : x 1 2 x 2 , y 1 2 y 2 ¬ 6 2 0 , 5 2 ( 1) ¬ ( 3, 3) XZ : x 1 2 x 2 , y 1 2 y 2 ¬ 1 2 ( 5) , 4 2 ( 2) ¬ ( 3, 3) The midpoints of WY and XZ are the same, so WXYZ is a parallelogram. 29. No; First use the Distance Formula to determine whether the opposite sides are congruent. GH ¬ ( x 2 x 1 ) 2 ( y 2 y 1 ) 2 ¬ [4 ( 2)] 2 (4 8) 2 ¬ 52 JK ¬ ( 1 6) 2 [ 7 ( 3)] 2 ¬ 65 Since GH JK , GH JK . Therefore, GHJK is not a parallelogram. 30. No; If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. Use the Distance Formula to determine whether the opposite sides are congruent. HJ ¬ ( x 2 x 1 ) 2 ( y
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}