Worksheet: Identifying the Hierarchy of Trapezoids, Parallelograms, Rectangles, Rhombuses, and Squares

Q1:

Which of the following labels the given quadrilateral?

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

Q2:

Classify the quadrilateral in as many ways as possible.

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

Q3:

Which of the following labels the given quadrilateral?

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

Q4:

Is the following quadrilateral a parallelogram?

Ayes
Bno

Q5:

Is the following quadrilateral a rectangle?

Ayes
Bno

Q6:

Is the following quadrilateral a rhombus?

Ano
Byes

Q7:

Is the following quadrilateral a square?

Ano
Byes

Q8:

Is the following quadrilateral a rhombus?

Ayes
Bno

Q9:

Michael 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

Q10:

In which two quadrilaterals are all the sides equal in length?

Arectangles, rhombuses
Brectangles, squares
Crectangles, parallelograms
Drhombuses, squares

Q11:

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

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

Q12:

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

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

Q13:

State which of these quadrilaterals have two pairs of parallel sides: square, rectangle, trapezoid, rhombus, parallelogram.

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

Q14:

Name the quadrilaterals in which all adjacent sides are perpendicular.

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

Q15:

In which two quadrilaterals are all the angles right angles?

Arectangles, rhombuses
Brhombuses, squares
Crhombuses, parallelograms
Drectangles, squares

Q16:

Which of the following statements about a rhombus is true?

AIt is a quadrilateral with only 2 pairs of 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 sides of equal length.
EIt is a regular polygon.

Q17:

Which of the following statements about a trapezoid is true?

AIt is a quadrilateral with 1 pair of sides equal in length.
BIt is a quadrilateral with 1 pair of parallel sides that are equal in length.
CIt is not a quadrilateral.
DIt is a quadrilateral with 1 pair of parallel sides.
EIt is an equilateral polygon.

Q18:

Name the quadrilaterals that have two pairs of parallel sides.

Arectangles, trapezoids, and parallelograms
Bsquares, rectangles, trapezoids, and parallelograms
Ctrapezoids and parallelograms
Dsquares, rectangles, rhombuses, and parallelograms
Esquares, trapezoids, and parallelograms

Q19:

Name the quadrilaterals which have all four sides perpendicular to their adjacent sides?

Asquares, rectangles, and trapezoids
Bsquares, rectangles, and rhombuses
Csquares, rectangles, rhombuses, and parallelograms
Dsquares and rectangles
Erectangles and trapezoids

Q20:

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

Q21:

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

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

Q22:

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

Q23:

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

Q24:

Madison has made this group of shapes.

This orange shape does NOT belong in the group.

Pick a rule for the shapes in the group.

A5 square corners
B2 square corners
C4 square corners

Q25:

Ethan 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

Q26:

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 rhombus.
BIt is a square.
CIt is a rectangle.
Dnone of the other statements
EIt is a kite.

Q27:

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 a parallelogram.
BIt is a square.
CIt is a rectangle.
Dnone of the above
EIt is an isosceles trapezium.