# Worksheet: Properties of Quadrilaterals

In this worksheet, we will practice classifying quadrilaterals according to their sides’ and angles’ relationships.

**Q3: **

How many vertices does a quadrilateral have?

**Q4: **

What is common between the following shapes?

- A All shapes contain perpendicular sides.
- BAll shapes contain right angles.
- CAll shapes contain one pair of equal sides.
- DAll shapes are quadrilateral.
- E All shapes are equilateral.

**Q5: **

Is this quadrilateral a rhombus?

- AYes
- BNo

**Q6: **

What is the name of this quadrilateral?

- Aa rectangle
- Ba rhombus
- Ca square
- Da trapezoid
- Ea parallelogram

**Q7: **

Which of the following labels the given quadrilateral?

- A trapezoid, square
- B trapezoid, rhombus
- C rectangle, square
- D trapezoid
- E rectangle, rhombus

**Q8: **

What is the name of this quadrilateral?

- Aa rectangle
- Ba rhombus
- Ca square
- Da parallelogram
- Ea trapezoid

**Q9: **

Select the shape that has four right angles.

- Aparallelogram
- Brhombus
- Ctrapezium
- Dsquare

**Q10: **

Which of the following labels the given quadrilateral?

- A square, rectangle
- B parallelogram, square
- C parallelogram, triangle
- D parallelogram, rectangle
- E parallelogram, rhombus

**Q11: **

Which of the following labels the given quadrilateral?

- A parallelogram, square
- B trapezoid, square
- C rectangle, square
- D parallelogram, rhombus
- E rectangle, rhombus

**Q12: **

Is the following quadrilateral a rhombus?

- Ayes
- Bno

**Q13: **

Is the following quadrilateral a rhombus?

- Ano
- Byes

**Q14: **

Is the following quadrilateral a square?

- Ano
- Byes

**Q15: **

Is this quadrilateral a rectangle?

- ANo
- BYes

**Q16: **

Is this quadrilateral a rectangle?

- AYes
- BNo

**Q17: **

Is this quadrilateral a square?

- ANo
- BYes

**Q18: **

Identify the list all of whose members share the property that each pair of their opposite sides are parallel.

- A a rectangle, a triangle, a square, a parallelogram
- B a quadrilateral, a square, a parallelogram, a rectangle
- C a rectangle, a square, a parallelogram, a trapezium
- D a rectangle, a square, a parallelogram, a rhombus
- E a rectangle, a triangle, a parallelogram, a rhombus

**Q19: **

Which list consists of quadrilaterals with the property that, on each, the pairs of opposite sides have equal length?

- A a rhombus, a trapezium, a square, and a parallelogram
- B a trapezium, a square, a rhombus, and a rectangle
- C a rectangle, a square, a parallelogram, and a trapezium
- D a rectangle, a square, a parallelogram, and a rhombus
- E a rectangle, a rhombus, a parallelogram, a square, and a trapezium

**Q20: **

Which of the following statements about a rhombus is true?

- AIt is a quadrilateral with only 2 sides equal in length.
- BIt is a quadrilateral with 4 pairs of perpendicular sides.
- CIt is a quadrilateral with 4 angles equal in measure.
- DIt is a parallelogram with all sides of equal length.
- EIt is a regular polygon.

**Q21: **

Choose from the following statements the properties of a parallelogram.

- It has two pairs of opposite sides of equal length.
- It is a quadrilateral of four equal angles.
- It has one pair of perpendicular sides.
- It has four sides of equal length.
- It has two pairs of equal angles.

- AB and D
- BA and B
- CB and E
- DA and E
- ED and E

**Q22: **

Name two quadrilaterals whose 4 sides all have the same length.

- Arhombus, rectangle
- Bsquare, rectangle
- Crhombus, parallelogram
- Dsquare, rhombus

**Q23: **

Sherif and his brother are building a tree house. It will have 2 windows. One window is shaped like a square, and the other is shaped like a rectangle. What do these two figures have in common?

- A 4 equal sides
- B 5 right angles
- C 4 equal sides and 4 right angles
- D 4 right angles
- E 3 equal sides and 3 right angles

**Q24: **

Fady draws a quadrilateral that has 4 equal sides but no right angles. What quadrilateral might it be?

- A a square
- B a triangle
- C a rectangle
- D a rhombus
- E a cube

**Q25: **

State which of these quadrilaterals must have four congruent sides: square, rectangle, trapezoid, rhombus, parallelogram.

- A Square and parallelogram
- B Square, rectangle, and rhombus
- C Square, rhombus, and trapezoid
- D Square and rhombus
- E Rectangle and rhombus