Answer:
a) ZY = 27
b) WY = √2×27 = 38.18
c) RX = √2×27 ÷ 2 = 19.09
d) m∠ WRZ = 90°
e) m∠ XYZ = 90°
f) m∠ ZWY = 45°
Step-by-step explanation:
Properties of a Square:
- All the sides are equal.
- All the vertex angles are 90°.
- Diagonals are equal and bisect each other at right angle.
- Diagonal bisect the vertex angles 90° i.e 45° each.
- The measure of the diagonal is √2 times the length of the side.i.e [tex]d=\sqrt{2}\times side[/tex]
We have [] WXYZ is a SQUARE with side = WZ = 27
Therefore By Applying the above Properties we will get the required Answers.
a) ZY = 27 .........{ From 1 above properties}
b) WY = √2×27 = 38.18 .......{ From 5 above properties}
c) RX = √2×27 ÷ 2 = 19.09 ...{ From 3 above properties}
d) m∠ WRZ = 90° ...........{ From 3 above properties}
e) m∠ XYZ = 90° .........{ From 2 above properties}
f) m∠ ZWY = 45° .........{ From 4 above properties}
