# Worksheet: Classifying Quadrilaterals based on Sides and Angles

Q1:

How many vertices does a quadrilateral have?

Q2:

What is common between the following shapes?

• AAll shapes are equilateral.
• BAll shapes contain one pair of equal sides.
• DAll shapes contain perpendicular sides.
• EAll shapes contain right angles.

Q3:

• AYes
• BNo

Q4:

• ANo
• BYes

Q5:

• AYes
• BNo

Q6:

• ANo
• BYes

Q7:

• AYes
• BNo

Q8:

• AYes
• BNo

Q9:

• ANo
• BYes

Q10:

What is the name of this quadrilateral?

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

Q11:

Which of the following labels the given quadrilateral?

• Arectangle, rhombus
• Brectangle, square
• Ctrapezoid
• Dtrapezoid, square
• Etrapezoid, rhombus

Q12:

• AIt is a square.
• BIt is both a rectangle and a square.
• CIt is both a parallelogram and a rectangle.
• DIt is only a parallelogram.
• EIt is both a parallelogram and a rhombus.

Q13:

Which of the following labels the given quadrilateral?

• Aparallelogram, rhombus
• Bparallelogram, triangle
• Cparallelogram, rectangle
• Dsquare, rectangle
• Eparallelogram, square

Q14:

Which of the following labels the given quadrilateral?

• Acircle
• Btriangle
• Cparallelogram
• Dsquare
• Erhombus

Q15:

Classify the quadrilateral in as many ways as possible.

• Arectangle, rhombus
• Brectangle, square
• Cparallelogram, rectangle, square, rhombus
• Dsquare, rhombus
• Erectangle, square, rhombus

Q16:

What is the name of this quadrilateral?

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

Q17:

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

• Arectangle, rhombus
• Bsquare, rhombus, trapezoid
• Csquare, rhombus
• Dsquare, parallelogram
• Esquare, rectangle, rhombus

Q18:

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

• Aa rectangle, a rhombus, a parallelogram, a square, and a trapezium
• Ba rectangle, a square, a parallelogram, and a trapezium
• Ca rectangle, a square, a parallelogram, and a rhombus
• Da rhombus, a trapezium, a square, and a parallelogram
• Ea trapezium, a square, a rhombus, and a rectangle

Q19:

State which of these quadrilaterals have exactly one pair of parallel sides: square, rectangle, trapezoid, rhombus, parallelogram.

• Asquare, rectangle, rhombus
• Bsquare, rectangle, trapezoid
• Ctrapezoid
• Dtrapezoid, parallelogram
• Esquare, rectangle

Q20:

In which two quadrilaterals are all the angles right angles?

• Arhombuses, parallelograms
• Brectangles, squares
• Crectangles, rhombuses
• Drhombuses, squares

Q21:

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

• Aa rectangle, a triangle, a parallelogram, a rhombus
• Ba rectangle, a square, a parallelogram, a trapezium
• Ca rectangle, a square, a parallelogram, a rhombus
• Da rectangle, a triangle, a square, a parallelogram
• Ea quadrilateral, a square, a parallelogram, a rectangle

Q22:

A field is in the shape of a quadrilateral, with two straight footpaths connecting opposite corners. What can you say about the shape of the field if the footpaths have the same length?

• AIt is an isosceles trapezium.
• BIt is a rectangle.
• Cnone of the above
• DIt is a parallelogram.
• EIt is a square.

Q23:

Samuel 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?

• A3 equal sides and 3 right angles
• B4 equal sides and 4 right angles
• C4 right angles
• D4 equal sides
• E5 right angles

Q24:

A field is in the shape of a quadrilateral, with two straight footpaths connecting opposite corners. The footpaths cross at right angles. Given just this information, what can you say about the shape of the field?

• AIt is a kite.
• BIt is a rectangle.
• Cnone of the other statements
• DIt is a rhombus.
• EIt is a square.