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Trapezoid – Definition, Examples | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">TrapezoidTrapezoid – Definition, ExamplesTable of ContentsTrapezoid: Definition, Types, and Examples Definition of Trapezoid

A trapezoid is a four-sided shape (quadrilateral) with exactly one pair of parallel sides. These parallel sides are called bases, while the non-parallel sides are known as legs. The perpendicular distance between the parallel sides is the altitude or height of the trapezoid. The median of a trapezoid is a line segment connecting the midpoints of the non-parallel sides, and its length equals the average of the bases.

Trapezoids come in three main types, each with distinct characteristics. A right trapezoid has a pair of right angles. An isosceles trapezoid has non-parallel sides of equal length, creating a more symmetrical shape. A scalene trapezoid has neither equal angles nor equal sides, making it the most irregular type of trapezoid. All trapezoids share common properties, including parallel bases and a sum of interior angles equal to 360 degrees.

Examples of Trapezoid Example 1: Identifying Types of Trapezoids Problem:

Fill in the blanks.

The trapezoid having non-parallel sides equal is known as ______________. _____________ trapezoid has a pair of adjacent angles equal to 90°. Neither the sides nor the angles of _______________ trapezoid are equal. Step-by-step solution:

Step 1, Recall the definition of an isosceles trapezoid. An isosceles trapezoid has non-parallel sides (legs) of equal length, so the first blank is "isosceles trapezoid."

Step 2, Think about what makes a trapezoid a "right" trapezoid. A right trapezoid has a pair of adjacent angles that are right angles (90°), so the second blank is "Right."

Step 3, Remember what defines a scalene trapezoid. A scalene trapezoid has neither equal sides nor equal angles, so the third blank is "scalene."

Example 2: Finding the Length of a Median Problem:

Find the length of median PQ of given trapezoid.

Base AD = 8 cm Base BC = 30 cm

Finding the Length of a Median

Step-by-step solution:

Step 1, Recall the formula for finding the median of a trapezoid. The median equals half the sum of the parallel sides (bases).

Step 2, Substitute the given values into the formula: Median = 12×(sum of the bases)=AD+BC2\frac{1}{2} \times (\text{sum of the bases}) = \frac{AD + BC}{2}21​×(sum of the bases)=2AD+BC​

Step 3, Calculate the median length: Median = 8+302\frac{8 + 30}{2}28+30​ cm = 382\frac{38}{2}238​ cm = 19 cm

Step 4, So, the length of median PQ is 19 cm.

Example 3: Calculating the Perimeter of a Trapezoid Problem:

Find the perimeter of a given trapezoid with sides:

PQ = 15 cm QR = 6 cm RS = 20 cm SP = 5 cm

Calculating the Perimeter of a Trapezoid

Step-by-step solution:

Step 1, Remember that the perimeter of a shape is the sum of all its sides.

Step 2, Add up the lengths of all four sides: Perimeter = PQ + QR + RS + SP

Step 3, Substitute the given values: Perimeter = (15 + 6 + 20 + 5) cm

Step 4, Calculate the final answer: Perimeter = 46 cm

Comments(7)BBadmintonPlayerScarlettNovember 4, 2025I've used this trapezoid def for my students. It's clear & the types/prop examples really help them grasp the concept. Thanks!

SSurferDanNovember 4, 2025This glossary page on trapezoids is great! It's helped my students easily understand the types and properties. Thanks for the useful resource!

RReceptionistUmaNovember 4, 2025This glossary page on trapezoids is great! It's helped my students grasp the concept clearly. Thanks for the useful info!

MCMs. CarterSeptember 16, 2025I’ve been using this page to help my kids understand trapezoids, and it’s fantastic! The examples really made the concepts click, especially the different types like isosceles and scalene. Highly recommend for parents teaching geometry!

NNatureLover88September 10, 2025I used the trapezoid examples from this page to help my kids with their geometry homework, and it made everything so much clearer! The definitions are simple, and the visuals really helped.

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