In quadrilateral ABCD, AE = x + 2, and BE = 3x – 18. For what value of x is ABCD a rectangle? A. 12 B. 10 C. 14 D. 12

In quadrilateral ABCD, m∠ACD = 2x + 4 and m∠ACB = 5x – 11. For what value of x is ABCD a rhombus?

The figure is quadrilateral A B C D with a diagonal drawn from A to C.
A. 4
B. 5
C. 6
D. 7

In quadrilateral ABCD, AE = x + 10, and BE = 3x – 18. For what value of x is ABCD a rectangle?

In quadrilateral ABCD, AE = x + 10, and BE = 3x – 18. For what value of x is ABCD a rectangle?

A. 24
B. 14
C. 18
D. 16

Lucinda wants to build a square sandbox, but she has no way of measuring angles. Explain how she can make sure that the sandbox is square by only measuring length.

A. Arrange four equal-length sides so the diagonals bisect each other.
B. Arrange four equal-length sides so the diagonals are equal lengths also.
C. Make each diagonal the same length as four equal-length sides.
D. Not possible; Lucinda has to be able to measure a right angle.