Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 5: Q7 (page 187)

Copy the chart. Then place check marks in the appropriate spaces.

Short Answer

Expert verified

Property

Parallelogram

Rectangle

Rhombus

Square

Diags. are ⊥

yes

yes

Step by step solution

01

Step 1. Description of step.

A parallelogram is a quadrilateral whose diagonals bisect each other and need not be perpendicular.

A rectangle is a special type of parallelogram in which opposite sides are parallel and the interior angles are right angles. Diagonals of a rectangle bisect each other and are not perpendicular to each other.

02

Step 2. Description of step.

Rhombus is a special type of parallelogram whose opposite sides are parallel and all the four sides are equal in length. The diagonals of a rhombus are perpendicular to each other.

Square is a type of parallelogram whose opposite sides are congruent; all the sides are equal in length and the interior angles are right angles. The diagonals of a square are perpendicular to each other.

03

Step 3. Description of step.

In rhombus and square, diagonals are perpendicular to each other. Therefore,

Property

Parallelogram

Rectangle

Rhombus

Square

Diags. are⊥

yes

yes

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

Draw a quadrilateral that isn’t a parallelogram but does have two 60°angles opposite each other.

You can use a sheet of lined notebook paper to divide a segment into a number of congruent parts. Here a piece of cardboard with edge AB¯is placed so that AB¯is separated into five congruent parts. Explain why it works.

Given: ABCDis a ▱,∠A≅∠E

Prove: localid="1637661691185" AB¯≅CE¯

In Exercise 5 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.
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Calculus

Read Explanation

Pure Maths

Read Explanation

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation

Logic and Functions

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