Quadrilaterals and Polygons: Squares, Rectangles and Rhombi

think icon Think & Click: Think & Click: Properties of Squares

Now, you try. Complete the Think & Click activity by looking at the problem below, thinking about it, and then clicking on the question to reveal the solution.

Use square WXYZ to answer the following questions.

square WXYZ with diagonals intersecting at point C

If angle WZY measures (3x – 6)°, what is the value of x?
 

3x – 6 = 90

3x = 96

x = 32

If XY = 10x + 2 and ZY = 2x + 90, what is the value of x?
 

10x + 2 = 2x + 90

10x = 2x + 88

8x = 88

x = 11

If WY = 102 and ZC = 3x – 12, find the value of x.
 

3x – 12 = one half (102)

3x – 12 = 51

3x = 63

x = 21