Question

Need help ASAP! 6 responses, just need answers the cut off letters are W and Z z is on bottom W is on top

Answer 1

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°

Explanation:

Properties of a Square:

1. All the sides are equal.
2. All the vertex angles are 90°.
3. Diagonals are equal and bisect each other at right angle.
4. Diagonal bisect the vertex angles 90° i.e 45° each.
5. The measure of the diagonal is √2 times the length of the side.i.e
   `d=√(2)* side`

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}