   Chapter 10.CR, Problem 20CR Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

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

Show that quadrilateral R S T V with vertices R - 5 ,   - 3 , S 1 ,   - 11 , T 7 ,   - 6 and V 1 ,   2 is a parallelogram.

To determine

To prove:

The quadrilateral RSTV with vertices R-5, -3, S1, -11, T7, -6 and V1, 2 is a parallelogram.

Explanation

To prove RSTV is a parallelogram, we have to prove the following statement.

Both pairs of opposite sides are parallel.

Find the slope of RS.

x1,y1=R-5, -3

x2,y2=S1, -11

Formula for slope joining the line segment.

Slope is denoted by m.

m=y2-y1x2-x1

Here x1x2

Substituting the x and y co-ordinates.

mRS-=-11--31--5

mRS-=-11+31+6

mRS-=-86

Cancelling the common factors,

mRS-=-43

Then, find the slope of ST.

x1,y1=S1, -11

x2,y2=T7, -6

Substituting the x and y co-ordinates.

mST-=-6--117-1

mST-=-6+116

mST-=56

Find the slope of TV

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

In Exercises 35-42, find functions f and g such that h = g f. (Note: The answer is not unique.) 40. h(x)=1x24

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

Solving Equations Find all real solutions of the equation. 66. 1x+2x1=3

Precalculus: Mathematics for Calculus (Standalone Book)

The percentage formula is written as _______. (6-3)

Contemporary Mathematics for Business & Consumers

True or False: If a function is not increasing on an interval, then it is decreasing on the interval.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 