The diagonals of quadrilateral WXYZ intersect at R. If R is the midpoint of WY and XZ, and WR = XR, what is the most specific quadrilateral that WXYZ can be?
Group of answer choices
rhombus
square
rectangle
parallelogram
Answers
Answered by
5
Given : The diagonals of quadrilateral WXYZ intersect at R.
R is the midpoint of WY and XZ, and WR = XR,
To Find : what is the most specific quadrilateral that WXYZ can be
rhombus
square
rectangle
parallelogram
Solution:
R is the midpoint of WY and XZ,
=> WR = RY
XR = ZR
The diagonals bisect each other
Hence WXYZ is a parallelogram
WR = XR
=> WR = XR = RY = ZR
=> WR + YR = XR + ZR
=> WY = XZ
=> Diagonal are also Equal
Hence WXYZ is a rectangle
most specific quadrilateral that WXYZ can be is RECTANGLE
Learn more :
Prove that prove that the diagonals of a rectangle bisect each other
brainly.in/question/12831299
diagonals of a parallelogram bisected each other
brainly.in/question/1897091
Attachments:
Answered by
0
Answer:
Step-by-step explanation it’s 28:
Similar questions