BuyFindarrow_forward

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section
BuyFindarrow_forward

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In Exercises 1 to 17, complete an analytic proof for each theorem.

The line segments that join the midpoints of the opposite sides of a quadrilateral bisect each other.

To determine

To answer:

The analytic proof for the given theorem “The line segments that join the midpoints of the opposite sides of a quadrilateral bisect each other”.

Explanation

Given theorem is,

The line segments that join the midpoints of the opposite sides of a quadrilateral bisect each other.

The above figure shows the quadrilateral ABCD.

Q, R, S and P are the midpoints of the sides of the quadrilateral AB, BC, CD and AD respectively.

Now, joining the midpoints PQ, QR, RS and SP as shown in the above figure.

Moreover, AC and BD are the diagonals of the quadrilateral.

PR and QS are the line segments that join the midpoints of the opposite sides of a quadrilateral.

In the quadrilateral ABCD, DAC and ABC are the two triangle and based on the midpoint theorem,

In Triangle DAC,

AC is parallel to PS

And PS=12AC

Similarly, In Triangle ABC,

AC is parallel to QR

And QR=12AC

Hence, P

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Chapter 10 Solutions

Show all chapter solutions add
Sect-10.1 P-11ESect-10.1 P-12ESect-10.1 P-13ESect-10.1 P-14ESect-10.1 P-15ESect-10.1 P-16ESect-10.1 P-17ESect-10.1 P-18ESect-10.1 P-19ESect-10.1 P-20ESect-10.1 P-21ESect-10.1 P-22ESect-10.1 P-23ESect-10.1 P-24ESect-10.1 P-25ESect-10.1 P-26ESect-10.1 P-27ESect-10.1 P-28ESect-10.1 P-29ESect-10.1 P-30ESect-10.1 P-31ESect-10.1 P-32ESect-10.1 P-33ESect-10.1 P-34ESect-10.1 P-35ESect-10.1 P-36ESect-10.1 P-37ESect-10.1 P-38ESect-10.1 P-39ESect-10.1 P-40ESect-10.1 P-41ESect-10.1 P-42ESect-10.1 P-43ESect-10.1 P-44ESect-10.1 P-45ESect-10.1 P-46ESect-10.1 P-47ESect-10.1 P-48ESect-10.1 P-49ESect-10.1 P-50ESect-10.1 P-51ESect-10.2 P-1ESect-10.2 P-2ESect-10.2 P-3ESect-10.2 P-4ESect-10.2 P-5ESect-10.2 P-6ESect-10.2 P-7ESect-10.2 P-8ESect-10.2 P-9ESect-10.2 P-10ESect-10.2 P-11ESect-10.2 P-12ESect-10.2 P-13ESect-10.2 P-14ESect-10.2 P-15ESect-10.2 P-16ESect-10.2 P-17ESect-10.2 P-18ESect-10.2 P-19ESect-10.2 P-20ESect-10.2 P-21ESect-10.2 P-22ESect-10.2 P-23ESect-10.2 P-24ESect-10.2 P-25ESect-10.2 P-26ESect-10.2 P-27ESect-10.2 P-28ESect-10.2 P-29ESect-10.2 P-30ESect-10.2 P-31ESect-10.2 P-32ESect-10.2 P-33ESect-10.2 P-34ESect-10.2 P-35ESect-10.2 P-36ESect-10.2 P-37ESect-10.2 P-38ESect-10.2 P-39ESect-10.2 P-40ESect-10.2 P-41ESect-10.2 P-42ESect-10.2 P-43ESect-10.2 P-44ESect-10.2 P-45ESect-10.2 P-46ESect-10.2 P-47ESect-10.3 P-1ESect-10.3 P-2ESect-10.3 P-3ESect-10.3 P-4ESect-10.3 P-5ESect-10.3 P-6ESect-10.3 P-7ESect-10.3 P-8ESect-10.3 P-9ESect-10.3 P-10ESect-10.3 P-11ESect-10.3 P-12ESect-10.3 P-13ESect-10.3 P-14ESect-10.3 P-15ESect-10.3 P-16ESect-10.3 P-17ESect-10.3 P-18ESect-10.3 P-19ESect-10.3 P-20ESect-10.3 P-21ESect-10.3 P-22ESect-10.3 P-23ESect-10.3 P-24ESect-10.3 P-25ESect-10.3 P-26ESect-10.3 P-27ESect-10.3 P-28ESect-10.3 P-29ESect-10.3 P-30ESect-10.3 P-31ESect-10.3 P-32ESect-10.3 P-33ESect-10.3 P-34ESect-10.3 P-35ESect-10.3 P-36ESect-10.3 P-37ESect-10.3 P-38ESect-10.3 P-39ESect-10.3 P-40ESect-10.3 P-41ESect-10.4 P-1ESect-10.4 P-2ESect-10.4 P-3ESect-10.4 P-4ESect-10.4 P-5ESect-10.4 P-6ESect-10.4 P-7ESect-10.4 P-8ESect-10.4 P-9ESect-10.4 P-10ESect-10.4 P-11ESect-10.4 P-12ESect-10.4 P-13ESect-10.4 P-14ESect-10.4 P-15ESect-10.4 P-16ESect-10.4 P-17ESect-10.4 P-18ESect-10.4 P-19ESect-10.4 P-20ESect-10.4 P-21ESect-10.4 P-22ESect-10.4 P-23ESect-10.4 P-24ESect-10.4 P-25ESect-10.4 P-26ESect-10.4 P-27ESect-10.4 P-28ESect-10.4 P-29ESect-10.4 P-30ESect-10.4 P-31ESect-10.4 P-32ESect-10.4 P-33ESect-10.4 P-34ESect-10.4 P-35ESect-10.5 P-1ESect-10.5 P-2ESect-10.5 P-3ESect-10.5 P-4ESect-10.5 P-5ESect-10.5 P-6ESect-10.5 P-7ESect-10.5 P-8ESect-10.5 P-9ESect-10.5 P-10ESect-10.5 P-11ESect-10.5 P-12ESect-10.5 P-13ESect-10.5 P-14ESect-10.5 P-15ESect-10.5 P-16ESect-10.5 P-17ESect-10.5 P-18ESect-10.5 P-19ESect-10.5 P-20ESect-10.5 P-21ESect-10.5 P-22ESect-10.5 P-23ESect-10.5 P-24ESect-10.5 P-25ESect-10.5 P-26ESect-10.5 P-27ESect-10.5 P-28ESect-10.5 P-29ESect-10.5 P-30ESect-10.5 P-31ESect-10.5 P-32ESect-10.5 P-33ESect-10.5 P-34ESect-10.5 P-35ESect-10.5 P-36ESect-10.5 P-37ESect-10.5 P-38ESect-10.5 P-39ESect-10.5 P-40ESect-10.5 P-41ESect-10.5 P-42ESect-10.5 P-43ESect-10.5 P-44ESect-10.5 P-45ESect-10.5 P-46ESect-10.5 P-47ESect-10.5 P-48ESect-10.5 P-49ESect-10.5 P-50ESect-10.6 P-1ESect-10.6 P-2ESect-10.6 P-3ESect-10.6 P-4ESect-10.6 P-5ESect-10.6 P-6ESect-10.6 P-7ESect-10.6 P-8ESect-10.6 P-9ESect-10.6 P-10ESect-10.6 P-11ESect-10.6 P-12ESect-10.6 P-13ESect-10.6 P-14ESect-10.6 P-15ESect-10.6 P-16ESect-10.6 P-17ESect-10.6 P-18ESect-10.6 P-19ESect-10.6 P-20ESect-10.6 P-21ESect-10.6 P-22ESect-10.6 P-23ESect-10.6 P-24ESect-10.6 P-25ESect-10.6 P-26ESect-10.6 P-27ESect-10.6 P-28ESect-10.6 P-29ESect-10.6 P-30ESect-10.6 P-31ESect-10.6 P-32ESect-10.6 P-33ESect-10.6 P-34ESect-10.6 P-35ESect-10.6 P-36ESect-10.6 P-37ESect-10.6 P-38ESect-10.6 P-39ESect-10.6 P-40ESect-10.6 P-41ESect-10.6 P-43ESect-10.6 P-44ESect-10.6 P-45ESect-10.6 P-46ESect-10.6 P-49ESect-10.6 P-50ESect-10.CR P-1CRSect-10.CR P-2CRSect-10.CR P-3CRSect-10.CR P-4CRSect-10.CR P-5CRSect-10.CR P-6CRSect-10.CR P-7CRSect-10.CR P-8CRSect-10.CR P-9CRSect-10.CR P-10CRSect-10.CR P-11CRSect-10.CR P-12CRSect-10.CR P-13CRSect-10.CR P-14CRSect-10.CR P-15CRSect-10.CR P-16CRSect-10.CR P-17CRSect-10.CR P-18CRSect-10.CR P-19CRSect-10.CR P-20CRSect-10.CR P-21CRSect-10.CR P-22CRSect-10.CR P-23CRSect-10.CR P-24CRSect-10.CR P-25CRSect-10.CR P-26CRSect-10.CR P-27CRSect-10.CR P-28CRSect-10.CR P-29CRSect-10.CR P-30CRSect-10.CR P-31CRSect-10.CR P-32CRSect-10.CR P-33CRSect-10.CR P-34CRSect-10.CR P-35CRSect-10.CR P-36CRSect-10.CR P-37CRSect-10.CR P-38CRSect-10.CR P-39CRSect-10.CR P-40CRSect-10.CT P-1CTSect-10.CT P-2CTSect-10.CT P-3CTSect-10.CT P-4CTSect-10.CT P-5CTSect-10.CT P-6CTSect-10.CT P-7CTSect-10.CT P-8CTSect-10.CT P-9CTSect-10.CT P-10CTSect-10.CT P-11CTSect-10.CT P-12CTSect-10.CT P-13CTSect-10.CT P-14CTSect-10.CT P-15CTSect-10.CT P-16CTSect-10.CT P-17CTSect-10.CT P-18CTSect-10.CT P-19CTSect-10.CT P-20CTSect-10.CT P-21CTSect-10.CT P-22CT

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

Use the guidelines of this section to sketch the curve. y=1x24

Single Variable Calculus: Early Transcendentals, Volume I

In Exercises 1124, find the indicated limits, if they exist. 23. limx3x2+2x+42x23x+1

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Give the exact value of each of the following. cos4

Trigonometry (MindTap Course List)