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

Q1:

Which of the following labels the given quadrilateral?

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

Q2:

Classify the quadrilateral in as many ways as possible.

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

Q3:

Which of the following labels the given quadrilateral?

  • Arectangle, rhombus
  • Brectangle, square
  • Cparallelogram, rhombus
  • Dparallelogram, square
  • Etrapezoid, square

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?

  • Aa cube
  • Ba rectangle
  • Ca rhombus
  • Da square
  • Ea triangle

Q10:

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

  • Arectangles, parallelograms
  • Brhombuses, squares
  • Crectangles, rhombuses
  • Drectangles, squares

Q11:

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

Q12:

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

Q13:

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

  • Asquare, trapezoid, parallelogram
  • Btrapezoid, parallelogram
  • Csquare, rectangle, rhombus, parallelogram
  • Drectangle, trapezoid, parallelogram
  • Esquare, rectangle, trapezoid, parallelogram

Q14:

Name the quadrilaterals in which all adjacent sides are perpendicular.

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

Q15:

In which two quadrilaterals are all the angles right angles?

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

Q16:

Which of the following statements about a rhombus is true?

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

Q17:

Which of the following statements about a trapezoid is true?

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

Q18:

Name the quadrilaterals that have two pairs of parallel sides.

  • Asquares, trapezoids, and parallelograms
  • Btrapezoids and parallelograms
  • Csquares, rectangles, rhombuses, and parallelograms
  • Drectangles, trapezoids, and parallelograms
  • Esquares, rectangles, trapezoids, and parallelograms

Q19:

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

  • Arectangles and trapezoids
  • Bsquares, rectangles, rhombuses, and parallelograms
  • Csquares and rectangles
  • Dsquares, rectangles, and trapezoids
  • Esquares, rectangles, and rhombuses

Q20:

Choose from the following statements the properties of a parallelogram.

  1. It has two pairs of opposite sides of equal length.
  2. It is a quadrilateral of four equal angles.
  3. It has one pair of perpendicular sides.
  4. It has four sides of equal length.
  5. It has two pairs of equal angles.
  • AD and E
  • BB and E
  • CA and E
  • DB and D
  • EA and B

Q21:

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

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

Q22:

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

Q23:

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

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.

  • A4 square corners
  • B5 square corners
  • C2 square corners

Q25:

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

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

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

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