/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q15 Give the most descriptive name f... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Log out

Learning Materials

Features

Discover

Chapter 5: Q15 (page 198)

Give the most descriptive name for quadrilateral MNOP.

∠M≅∠N≅∠O≅∠P

Short Answer

Expert verified

The most descriptive name for quadrilateral MNOP where ∠M≅∠N≅∠O≅∠Pis a square or rectangle.

Step by step solution

01

Step 1. Description of step.

In square and rectangle, all the angles have a measure of 90°.

02

Step 2. Description of step.

It is being given that ∠M≅∠N≅∠O≅∠P.

As the sum of the angles of a quadrilateral is 360°.

Therefore, the sum of the angles of the quadrilateral MNOP is 360°.

Therefore, it can be obtained that:

∠M+∠N+∠O+∠P=360°∠M+∠M+∠M+∠M=360°4∠M=360°∠M=360°4∠M=90°

As, ∠M≅∠N≅∠O≅∠Ptherefore, ∠M=∠N=∠O=∠P=90°.

In the square, all the angles have a measure of 90°.

Therefore, as in the quadrilateral MNOP, all angles are having the measure of 90°, therefore the quadrilateral MNOP is a square.

03

Step 3. Write the most descriptive name for quadrilateral MNOP.

The most descriptive name for quadrilateral MNOP where ∠M≅∠N≅∠O≅∠Pis a square or rectangle.

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.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

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

Prove Theorem 5-3.

Quadrilateral ABCD is a parallelogram. Name the principal theorem or definition that justifies the statement.

∠ADX≅∠CBX

For the following figure, if WR¯⊥CE¯then name all angles congruent to ∠RCE.

In the exercise 3 quad.ABCD is a parallelogram. Find the values of x, y, and z.

Study the markings on each figure and decide whether ABCD must be a parallelogram. If the answer is yes, state the definition or theorem that applies.
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

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.