In this worksheet, we will practice proving that a quadrilateral is a square based on its sides, angles, and diagonals.

**Q2: **

Is this quadrilateral a square?

- ANo
- BYes

**Q3: **

Is this quadrilateral a square?

- AYes
- BNo

**Q5: **

Determine whether the following statement is sometimes, always, or never true: A square is a rhombus.

- A never true
- B sometimes true
- C always true

**Q6: **

In which quadrilateral are the diagonals perpendicular and equal in length?

- Arhombus
- Brectangle
- Csquare

**Q7: **

Determine whether this statement is true or false: All rectangles are squares.

- Afalse
- Btrue

**Q8: **

A quadrilateral has vertices at the points and . By determining the lengths of the quadrilateral’s sides, and considering the gradient of the intersecting lines, what is the name of the quadrilateral?

- A rhombus
- B rectangle
- C parallelogram
- D square
- Etrapezium

**Q9: **

Name the polygon that can be graphed in the coordinate plane with vertices at , and .

- A Triangle
- B Rhombus
- C Square
- D Rectangle