3rd Grade - Rectangles And Other Quadrilaterals

Shapes and Geometry
Rectangles and Other Quadrilaterals
Identify attributes of quadrilaterals (e.g., parallel sides for the parallelogram, right angles for the rectangle, equal sides and right angles for the square).
Measurement and Geometry: attributes of quadrilaterals The ability to identify a figure as a quadrilateral based on its attributes and the ability to classify the quadrilateral as a specific type of quadrilateral.

Sample Problems


What is a quadrilateral? A quadrilateral is a polygon that has exactly four sides.


There are different types of quadrilaterals:

Trapezoids have one pair of opposite sides parallel.

Isosceles trapezoids have congruent base angles (base angles are the two angles at either end of one of the parallel sides).

A parallelogram has two pairs of opposite sides parallel.

A rhombus has all four sides the same length.

A square is a rhombus with only right angles.

A rectangle only has right angles.


What quadrilateral has for equal sides and four right angles? (square)


What quadrilateral has one pair of opposite sides that are parallel? (trapezoid)


What is a rhombus? A shape that has all four sides the same length, like a square.

Learning Tips


A quadrilateral is a four-sided polygon with four angles. The most common quadrilaterals are parallelogram, rectangle, square, rhombus and trapezoid.


A parallelogram has opposite sides parallel and congruent.

A rectangle has four right angles and because it has two pairs of parallel sides it is also a parallelogram.

A square has four right angles and four congruent sides. It is also a rectangle and a parallelogram.

A rhombus is a parallelogram with four equal sides. A rhombus is not always a rectangle because it may not have 4 right angles.

A trapezoid has only one pair of parallel lines. It’s a quadrilateral that is not a parallelogram.


All quadrilaterals have two diagonals and the sum of their four interior angles is 360 degrees.


Explain the term congruent. Congruent means that they (i.e. shapes, sides) are identical in shape and size.


Define parallel lines. Parallel lines are always the same distance apart and will never meet.

Extra Help Problems


Is a square a rectangle? (Yes)


Is a parallelogram ever a square? (A square is a parallelogram)


Is a rhombus ever a square? (a square is a rhombus)


Does a parallelogram have one set of opposite sides parallel and congruent? (Yes)


Is a trapezoid a parallelogram? (No)


Does a rectangle have four right angles? (Yes)


Does a rhombus have four equal sides? (Yes)


Is the sum of the interior angles of a quadrilateral 180 degrees? (No)


Are there only five quadrilaterals? (No, those are just the most common ones)


If one angle of a square is 90 degrees, what are the other angles? (all 90 degrees)


What does quadrilateral mean? (four sides)


Is any shape a quadrilateral? (Yes)


Do the sides have to be straight on a quadrilateral? (Yes)


Does the shape have to be 2-dimensional? (Yes)


Are squares, rectangles and rhombuses all parallelograms? (Yes)


What is a regular trapezoid? (The sides that aren’t parallel are equal in length and both angles coming from a parallel side are equal.)


Why isn’t a trapezoid a parallelogram? (only one pair of sides is parallel)


Is a quadrilateral a polygon? (Yes. It is a four sided polygon)


A quadrilateral with four equal right angles and two sets of parallel opposite sides that are equal is called ? (rectangle)


An equilateral parallelogram is a ? (rhombus)


A quadrilateral with two sides that are parallel but not equal is called a ? (trapezoid)


A quadrilateral with four equal sides and four equal right angles is called a ? (square)


A polygon with four sides is a ? (quadrilateral)


Name as many quadrilaterals as you can.


Name at least two quadrilaterals with opposite sides that are parallel and congruent and angles that are congruent. (e.g., rectangle, square, diamond)


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