6. If WXYZ is a square with WZ = 27, find each measure.WXa) ZY =d) MZWRZ =b) WY =e) MZXYZ =c) RX =f) MZZWY =YPage1 | 1O +sina Wilson (All Things Algebra®, LLC), 2014-2019

The lengths of all sides of a square are equal. All the four interior angles of a square is 90°. If…

Answered: . If WXYZ is a square with WZ = 27,…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.2: Perimeter And Area Of Polygons

Problem 55E: Each side of square RSTV has length 8. Point W lies on VR- and point Y lies on TS- in such a way to...

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6. If WXYZ is a square with WZ = 27, find each measure.
W
X
a) ZY =
d) MZWRZ =
b) WY =
e) MZXYZ =
c) RX =
f) MZZWY =
Y
Page
1 | 1
O +sina Wilson (All Things Algebra®, LLC), 2014-2019

Expert Solution

Step 1

The lengths of all sides of a square are equal.
All the four interior angles of a square is $90 °$ .
If the length of one side of square is $a$ then length of diagonal = $a \sqrt{2}$
The diagonals of a square intersect (cross) in $90 °$ . This means that the diagonals of a square are perpendicular and of same length.
The diagonals of a square bisect one another.

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