Topics
11. Polygons & Quadrilaterals
topic badge
United States of AmericaUT
Math II

11.05 Classifying quadrilaterals

Lesson
Practice

Interactive practice questions

For each of the shapes below, choose the most precise classification.

a

A quadrilateral is illustrated whose two opposite sides are congruent indicated by the same hash marks on the sides and its sides are perpendicular to each other indicated by small squares on all four corners.

Trapezoid

A

Rectangle

B

Square

C
b

A quadrilateral is illustrated whose all four sides are congruent indicated by the same hash marks on the sides and are perpendicular to each other indicated by small squares on all four corners.

Square

A

Trapezoid

B

Rectangle

C
c

A quadrilateral is illustrated whose opposite horizontal sides are parallel indicated by the same arrowmarks on the sides. Its right side is perpendicular to the two opposite horizontal sides of the quadrilateral as indicated by the small squares in two right corners. Its top base is longer than the bottom base.

Trapezoid

A

Rectangle

B

Square

C
d

A quadrilateral is illustrated whose opposite sides are congruent indicated by the same hash marks on the sides, and all four sides are perpendicular to each other indicated by small squares on all four corners.

Trapezoid

A

Rectangle

B

Square

C
e

A quadrilateral is illustrated whose opposite horizontal sides are parralel indicated by the same arrowhead marks on the sides. The top base is longer than the bottom base. None of the sides are perpendicular to each other.

Trapezoid

A

Square

B

Rectangle

C
Easy
< 1min

Based on the length of each side, classify the following as a parallelogram, trapezoid or rhombus. Give the most precise classification possible.

Easy
1min

Which of the following is true?

Easy
< 1min

Patricia draws a quadrilateral, and covers it up. She tells Glen that the quadrilateral consists of right angles only. From this information, Glen knows that the quadrilateral is definitely a:

Medium
< 1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account
Book a Demo
Sign up for free

Outcomes

II.G.CO.11

Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.

II.G.SRT.5

Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.

What is Mathspace

About Mathspace