Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Join our Q&A platform and get accurate answers to all your questions from professionals across multiple disciplines. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Is EFGH below a rectangle

A. Yes, because EFGH is a parallelogram and it’s diagonals are congruent.
B. Yes, because EFGH is a parallelogram but it’s diagonals are not congruent.
C. No, because EFGH is a parallelogram and it’s diagonals are congruent.
D. No, because EFGH is a parallelogram but it’s diagonals are not congruent.
E. No, because EFGH is not a parallelogram.

Is EFGH Below A Rectangle A Yes Because EFGH Is A Parallelogram And Its Diagonals Are Congruent B Yes Because EFGH Is A Parallelogram But Its Diagonals Are Not class=

Sagot :

sqdancefan

Answer:

  D. No, because EFGH is a parallelogram but it’s diagonals are not congruent

Step-by-step explanation:

The differences between the end points of the diagonals are ...

  F -H = (1, 1) -(2, -5) = (1 -2, 1 -(-5)) = (-1, 6)

  G -E = (4, -2) -(-1, -2) = (4 -(-1), -2 -(-2)) = (5, 0)

The length of FH is more than 6, the length of GE is exactly 5. The diagonals are different length, so the figure cannot be a rectangle.

__

The midpoints of the diagonals will be in the same place if the sum of their end points is the same. (Dividing each sum by 2 gives the midpoint of that segment.)

  F+H = (1, 1) +(2, -5) = (3, -4)

  G+E = (4, -2) +(-1, -2) = (3, -4)

The diagonals bisect each other (have the same midpoint), so the figure is a parallelogram.

EFGH is a parallelogram, but not a rectangle: its diagonals are not congruent.

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.