/*! 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} Q6 Quad WXYZ must be a special figu... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q6 (page 195)

Quad WXYZ must be a special figure to meet the conditions stated. Write the best name for that special quadrilateral.

M is the midpoint of hypotenuse AMandm鈭�ACM

Short Answer

Expert verified

AM=17,m鈭�ACM=67

Step by step solution

01

Step 1. Check the figure.

Consider the figure.

02

Step 2. Step description.

Consider the triangle 螖ACB.

Now, AB炉is the hypotenuse of the right triangle 螖ACB and M is its midpoint.

So, by the theorem, the midpoint M of the hypotenuse AB炉of a right triangle 螖ACBis equidistant from the three vertices.

Thus,BM=AM=CM=17

03

Step 3. Step description.

Now, consider the triangle 螖MCB, here BM炉鈮�AM炉, so by theorem , the angles 鈭�MCBand 鈭�MBCare congruent.

That is, m鈭�MCB=m鈭�MBC=23.

As m鈭�ACB=90, so

m鈭�ACB=90m鈭�ACM+m鈭�MCB=90m鈭�ACM+23=90

m鈭�ACM=90鈭�23m鈭�ACM=67

Therefore, AM=17,m鈭�ACM=67.

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 91影视!

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

PQRS is a parallelogram. Find the values of a, b, x and y.

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

DX=BX

Must quad. EFGH be a parallelogram? Can it be a parallelogram? Explain.

What values must x and y have to make the quadrilateral a parallelogram?

Draw a quadrilateral that is not a parallelogram but that has one pair of congruent sides and one pair of parallel sides.
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Statistics

Read Explanation

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Pure Maths

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.