Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 5: Q5 (page 199)

Complete the following statement with the word always, sometimes, or never.

A trapezoid ___ has three congruent sides.

Short Answer

Expert verified

A trapezoid never has three congruent sides.

Step by step solution

01

Step 1. Apply the concept of a trapezoid.

A trapezoid is a flat closed shape having 4 straight sides, with one pair of parallel sides. The parallel sides of a trapezium are known as the bases, and their non-parallel sides are called legs.

02

Step 2. Step description.

Since a trapezoid is a quadrilateral with only one pair of parallel sides. The parallel sides are called bases and the other sides are legs.

Also, a trapezoid with congruent legs is called an isosceles trapezoid, thus a trapezoid can have at most two sides congruent.

03

Step 3. Step description.

Since a trapezoid can have at most two sides congruent thus a trapezoid never has three sides congruent.

Therefore, a trapezoid never has three sides congruent.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In Exercise 4 quad. ABCD is a parallelogram. Find the values of x, y, and z.

Each figure in Exercises 19-24 is a parallelogram with its diagonals drawn. Find the values of x and y.

Given: ABCD is a ▱,CD¯≅CE¯

Prove: ∠A≅∠E

The legs of this ironing board are built so that BO=AO=RO=DO.

What theorem guarantees that the board is parallel to the floor AR¯∥BD¯?

State the principal definition or theorem that enables you to deduce, from the information given, that quadrilateral SACK is a parallelogram.

SA¯≅KC¯;SK¯≅AC¯
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Logic and Functions

Read Explanation

Statistics

Read Explanation

Calculus

Read Explanation

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free