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Quadrilaterals

Site: Saylor Academy
Course: GKT101: General Knowledge for Teachers – Math
Book: Quadrilaterals
Printed by: Guest user
Date: Tuesday, May 13, 2025, 11:07 PM

Description

A quadrilateral is a two-dimensional shape with four sides and four angles. There are a lot of different kinds of quadrilaterals: familiar ones like squares and rectangles and less familiar ones like parallelograms and trapezoids. Quadrilaterals are classified based on the number of parallel lines, equal sides, and angles. Watch this lecture series and complete the interactive exercises.

Table of contents

Quadrilateral properties

Kites as a geometric shape

Quadrilateral types

Classifying quadrilaterals

Practice

    

Identify quadrilaterals - Questions

1. Which of the following shapes are quadrilaterals?

Choose 2 answers:



2. Which of the following shapes are rectangles?

Choose 2 answers:


3. Which of the following shapes are squares?

Choose 2 answers:


4. Which of the following shapes are rhombuses?

Choose 2 answers:








5. Which of the following shapes are quadrilaterals?

Choose 2 answers:









6. Which of the following shapes are rectangles?

Choose 3 answers:








7.  Which of the following shapes are squares?

Choose 2 answers:

Identify quadrilaterals - Answers

1. The following shapes are quadrilaterals:



2. The following shapes are rectangles:


[Isn't the first one a square?]

Yes, it is!

A rectangle is a quadrilateral with four right angles.

Squares are quadrilaterals. Squares have four right angles.

So, squares are rectangles!

3. The following shapes are squares:



4. The following shapes are rhombuses:



5. The following shapes are quadrilaterals:



6. The following shapes are rectangles:



[Isn't that middle one a square?]

Yes, it is!
A rectangle is a quadrilateral with four right angles.
Squares are quadrilaterals. Squares have four right angles.
So, squares are rectangles!

7.  The following shapes are squares:


Quadrilateral types - Questions

1. All parallelograms have opposite sides that are equal in length and parallel.

Which of these quadrilaterals are parallelograms?
The matching arrow labels indicate that two opposite sides are parallel.
Quadrilateral Parallelogram/Not parallelogram
  parallelogram
not parallelogram 
  parallelogram
not parallelogram 
  parallelogram
not parallelogram 

2. What kinds of quadrilateral is the shape shown?
The matching arrow labels indicate that two opposite sides are parallel.



Choose all answers that apply:

(A) Parallelogram

(B) Rhombus

(C) Rectangle

(D) Square

3. All rhombuses have all sides that are equal in length and opposite sides that are parallel.

Which of these quadrilaterals are rhombuses?

Quadrilateral Rhombus/Not Rhombus
  Rhombus
Not Rhombus
  Rhombus
Not Rhombus
  Rhombus
Not Rhombus

4. What kinds of quadrilateral is the shape shown?
The matching arrow labels indicate that two opposite sides are parallel.



Choose all answers that apply:

A) Parallelogram

(B) Rhombus

(C) Rectangle

(D) Square

Quadrilateral types - Answers

1. 



2. The quadrilateral is a parallelogram and a rectangle.

3. 



4. The quadrilateral is a parallelogram.