ACT Math question?

Test Preparation
1

Each side of a quadrilateral is 12cm long. Which 2 of the following must also describe this quadrilateral?

I. Square (sides of equal length and 90deg angles)
II. Rhombus (sides of equal length)
III. Rectangle (90deg angles)
IV. Parallelogram (opposite sides parallel)

A) I and II only
B) I and III only
C) II and III only
D) II and IV only
E) III and IV only

I thought the answer would be A, since the question stated each side is 12cm (thus equal length in all = square) and rhombus, which is a slanted square. but apparently the answer is D so I am a little confused!!

Please point out where I’m wrong. thank you so much!

2

If it’s equilateral, it’s a rhombus.
That makes it also a parallelogram.

But it does not guarantee the right angles that a square or rectangle would need.

The correct answer is D.

Google “quadrilateral family tree.”

3

thank you!

4

The correct answer is D.