menu
bartleby
search
close search
Hit Return to see all results
Subscribe
Sign in

Math
GeometryElementary Geometry for College Students6th Edition

close solutoin list
Chapter 4.1, Problem 28E
BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

Solutions

Chapter
Section
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
Problem 43E
Problem 44E
BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
1 views

In Exercises 27-30, use the definition of a parallelogram to

Complete each proof.

Given: W X - ∥ Z Y - and ∠s Z and Y are supplementary

Prove: WXYZ is a parallelogram

Chapter 4.1, Problem 28E, In Exercises 27-30, use the definition of a parallelogram to Complete each proof. Given: WX-ZY- and

PROOF
Statements Reasons
1. W X - ∥ Z Y - 1.?
2.? 2.Given
3.? 3.If two lines are cut by a transversal so that int. ∠ s on the same side of the transversal are supplementary, these lines are ∥
4.? 4.If both pairs of opposite side of a quadrilateral are ∥ , the quadrilateral is a ▱

To determine

To prove:

The quadrilateral WXYZ is a parallelogram.

Explanation

Given:

In the parallelogram WXYZ, WX¯∥ZY¯ and ∠s Z and Y are supplementary.

PROOF
Statements Reasons
1. WX¯∥ZY¯ 1.?
2.? 2.Given
3.? 3.If two lines are cut by a transversal so that interior ∠s on the same side of the transversal are supplementary, these lines are ∥
4.? 4.If both pairs of opposite side of a quadrilateral are ∥, the quadrilateral is a ▱

Corollary:

1. A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel.

2. Two consecutive angles of a parallelogram are supplementary.

From the given quadrilateral WXYZ, WX¯∥ZY¯ and ∠s Z and Y are supplementary

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution
arrow_back
Chapter 4.1,
Problem 27E
Chapter 4.1,
Problem 29E
arrow_forward

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 4 Solutions

Show all chapter solutions add
Sect-4.1 P-1ESect-4.1 P-2ESect-4.1 P-3ESect-4.1 P-4ESect-4.1 P-5ESect-4.1 P-6ESect-4.1 P-7ESect-4.1 P-8ESect-4.1 P-9ESect-4.1 P-10E
Sect-4.1 P-11ESect-4.1 P-12ESect-4.1 P-13ESect-4.1 P-14ESect-4.1 P-15ESect-4.1 P-16ESect-4.1 P-17ESect-4.1 P-18ESect-4.1 P-19ESect-4.1 P-20ESect-4.1 P-21ESect-4.1 P-22ESect-4.1 P-23ESect-4.1 P-24ESect-4.1 P-25ESect-4.1 P-26ESect-4.1 P-27ESect-4.1 P-28ESect-4.1 P-29ESect-4.1 P-30ESect-4.1 P-31ESect-4.1 P-32ESect-4.1 P-33ESect-4.1 P-34ESect-4.1 P-35ESect-4.1 P-36ESect-4.1 P-37ESect-4.1 P-38ESect-4.1 P-39ESect-4.1 P-40ESect-4.1 P-41ESect-4.1 P-42ESect-4.1 P-43ESect-4.1 P-44ESect-4.2 P-1ESect-4.2 P-2ESect-4.2 P-3ESect-4.2 P-4ESect-4.2 P-5ESect-4.2 P-6ESect-4.2 P-7ESect-4.2 P-8ESect-4.2 P-9ESect-4.2 P-10ESect-4.2 P-11ESect-4.2 P-12ESect-4.2 P-13ESect-4.2 P-14ESect-4.2 P-15ESect-4.2 P-16ESect-4.2 P-17ESect-4.2 P-18ESect-4.2 P-19ESect-4.2 P-20ESect-4.2 P-21ESect-4.2 P-22ESect-4.2 P-23ESect-4.2 P-24ESect-4.2 P-25ESect-4.2 P-26ESect-4.2 P-27ESect-4.2 P-28ESect-4.2 P-29ESect-4.2 P-30ESect-4.2 P-31ESect-4.2 P-32ESect-4.2 P-33ESect-4.2 P-34ESect-4.2 P-35ESect-4.2 P-36ESect-4.2 P-37ESect-4.2 P-38ESect-4.2 P-39ESect-4.2 P-40ESect-4.3 P-1ESect-4.3 P-2ESect-4.3 P-3ESect-4.3 P-4ESect-4.3 P-5ESect-4.3 P-6ESect-4.3 P-7ESect-4.3 P-8ESect-4.3 P-9ESect-4.3 P-10ESect-4.3 P-11ESect-4.3 P-12ESect-4.3 P-13ESect-4.3 P-14ESect-4.3 P-15ESect-4.3 P-16ESect-4.3 P-17ESect-4.3 P-18ESect-4.3 P-19ESect-4.3 P-20ESect-4.3 P-21ESect-4.3 P-22ESect-4.3 P-23ESect-4.3 P-24ESect-4.3 P-25ESect-4.3 P-26ESect-4.3 P-27ESect-4.3 P-28ESect-4.3 P-29ESect-4.3 P-30ESect-4.3 P-31ESect-4.3 P-32ESect-4.3 P-33ESect-4.3 P-34ESect-4.3 P-35ESect-4.3 P-36ESect-4.3 P-37ESect-4.3 P-38ESect-4.3 P-39ESect-4.3 P-40ESect-4.3 P-41ESect-4.3 P-42ESect-4.3 P-43ESect-4.3 P-44ESect-4.4 P-1ESect-4.4 P-2ESect-4.4 P-3ESect-4.4 P-4ESect-4.4 P-5ESect-4.4 P-6ESect-4.4 P-7ESect-4.4 P-8ESect-4.4 P-9ESect-4.4 P-10ESect-4.4 P-11ESect-4.4 P-12ESect-4.4 P-13ESect-4.4 P-14ESect-4.4 P-15ESect-4.4 P-16ESect-4.4 P-17ESect-4.4 P-18ESect-4.4 P-19ESect-4.4 P-20ESect-4.4 P-21ESect-4.4 P-22ESect-4.4 P-23ESect-4.4 P-24ESect-4.4 P-25ESect-4.4 P-26ESect-4.4 P-27ESect-4.4 P-28ESect-4.4 P-29ESect-4.4 P-30ESect-4.4 P-31ESect-4.4 P-32ESect-4.4 P-33ESect-4.4 P-34ESect-4.4 P-35ESect-4.4 P-36ESect-4.4 P-37ESect-4.4 P-38ESect-4.4 P-39ESect-4.4 P-40ESect-4.4 P-41ESect-4.4 P-42ESect-4.4 P-43ESect-4.4 P-44ESect-4.4 P-45ESect-4.CR P-1CRSect-4.CR P-2CRSect-4.CR P-3CRSect-4.CR P-4CRSect-4.CR P-5CRSect-4.CR P-6CRSect-4.CR P-7CRSect-4.CR P-8CRSect-4.CR P-9CRSect-4.CR P-10CRSect-4.CR P-11CRSect-4.CR P-12CRSect-4.CR P-13CRSect-4.CR P-14CRSect-4.CR P-15CRSect-4.CR P-16CRSect-4.CR P-17CRSect-4.CR P-18CRSect-4.CR P-19CRSect-4.CR P-20CRSect-4.CR P-21CRSect-4.CR P-22CRSect-4.CR P-23CRSect-4.CR P-24CRSect-4.CR P-25CRSect-4.CR P-26CRSect-4.CR P-27CRSect-4.CR P-28CRSect-4.CR P-29CRSect-4.CR P-30CRSect-4.CR P-31CRSect-4.CR P-32CRSect-4.CR P-33CRSect-4.CR P-34CRSect-4.CR P-35CRSect-4.CT P-1CTSect-4.CT P-2CTSect-4.CT P-3CTSect-4.CT P-4CTSect-4.CT P-5CTSect-4.CT P-6CTSect-4.CT P-7CTSect-4.CT P-8CTSect-4.CT P-9CTSect-4.CT P-10CTSect-4.CT P-11CTSect-4.CT P-12CTSect-4.CT P-13CTSect-4.CT P-14CTSect-4.CT P-15CTSect-4.CT P-16CTSect-4.CT P-17CT

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

Find the coordinates of the midpoint of the segment that joins the points a a,0 and 0,b. b 2a,0 and 0,2b.

Elementary Geometry For College Students, 7e

cores on a standardized reading test for 4th-grade students form a normal distribution with =60 and =20 . What ...

Statistics for The Behavioral Sciences (MindTap Course List)

The displacement (in meters) of an object moving in a straight line is given by s = 1 + 2t + t2, where t is me...

Single Variable Calculus: Early Transcendentals, Volume I

The cost, in dollars, of producing x units of a certain commodity is C(x)=920+2x0.02x2+0.00007x3 a Find the mar...

Calculus (MindTap Course List)

Writing In Exercises 3-6, explain why Rolle's Theorem does not apply to the function even though there exist a ...

Calculus of a Single Variable

For each of the following relations R defined on the set A of all triangles in a plane, determine whether R is ...

Elements Of Modern Algebra

SOC Twenty-five students completed a questionnaire that measured their attitudes toward interpersonal violence....

Essentials Of Statistics

Recent research suggests that the amount of lime that parents spend talking about numbers can have a big impact...

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Find the numbers at which f is discontinuous. At which of these numbers is f continuous from the right, from th...

Single Variable Calculus

Let f(x) = x3. (a) Estimate the values of f'(0), f(12), .f'(1), f'(2), and f'(3) by using a graphing device to ...

Calculus: Early Transcendentals

Use a linear approximation (or differentials) to estimate the given number. 28. cos 29

Single Variable Calculus: Early Transcendentals

EXPLORING CONCEPTS Think About It In Exercises 43-46, determine how the graph of the surface s (u, v) differs f...

Calculus: Early Transcendental Functions (MindTap Course List)

Prove each identity. cotxtanx=cos2xsinxcosx

Trigonometry (MindTap Course List)

Solve the following for the portion, rate, or base, rounding decimals to hundredths and percents to the nearest...

Contemporary Mathematics for Business & Consumers

A small plane takes off from an airport and begins to climb at a 10.0 angle of elevation at 5000 ft/min. After ...

Elementary Technical Mathematics

By any method, determine all possible real solutions of each equation in Exercises 1330. Check your answers by ...

Applied Calculus

A ball is thrown straight upward from a height of 75 feet above the ground with an initial velocity of 30 feet ...

Calculus: An Applied Approach (MindTap Course List)

Solve each equation in Exercises 107120 for x, rounding your answer to four significant digits where necessary....

Finite Mathematics and Applied Calculus (MindTap Course List)

Identify the surface with the given vector equation. 3. r(u, v) = (u + v) i + (3 v) j + (1 + 4u + 5v) k

Multivariable Calculus

Critical Thinking Consider a family with three children. Assume the probability that one child is a boy is 0.5 ...

Understanding Basic Statistics

In Exercises 516, evaluate the given quantity. log218

Finite Mathematics

High concentration of the toxic element arsenic is all too common in groundwater. The article Evaluation of Tre...

Probability and Statistics for Engineering and the Sciences

In Exercises 724, compute the indicated products. [412124][412]

Finite Mathematics for the Managerial, Life, and Social Sciences

Evaluate the algebraic expressions in Problems 35-57 for the given values of the variables. Objectives 2 2(x1)(...

Intermediate Algebra

In Exercises 21 to 28, write a sentence that describes the given mathematical expression. LT

Mathematical Excursions (MindTap Course List)

CHECKPOINT 1. Suppose an annuity pays $2000 at the end of each 3-month period for years and money is worth 4% ...

Mathematical Applications for the Management, Life, and Social Sciences

(a) The complex number z = 1 + i in polar form is z = __________. (b) The complex number z=2(cos6+isin6) in rec...

Precalculus: Mathematics for Calculus (Standalone Book)

Explain in your own words the meaning of limxf(x)=L and limxf(x)=M.

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

Finding Volume Using a Change of Variables In Exercises 23-30, use a change of variables to find the volume of ...

Calculus: Early Transcendental Functions

Write in cylindrical coordinates, where E is the solid at the right.

Study Guide for Stewart's Multivariable Calculus, 8th

Roulette is a game of chance that involves spinning a wheel that is divided into 38 equal segments, as shown in...

Introduction To Statistics And Data Analysis

f(x) = x3 2x2 + x 1 has a local maximum at: a) 0 b) 1 c) 13 d) f has no local maxima

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

Precalculus or Calculus In Exercises 3-6.decide whether the problem can be solved using precalculus or whether ...

Calculus

The dartboard in Figure 3.9 is composed of circles with radii 1inch, 3inches, and 5inches. a.What is the probab...

Mathematics: A Practical Odyssey

In addition to the key words, you should also be able to define each of the following terms: Scatter plot Linea...

Research Methods for the Behavioral Sciences (MindTap Course List)

In addition to the key words, you should also be able to define each of the following terms: Scatter plot Linea...

Research Methods for the Behavioral Sciences (MindTap Course List)

Express each volume as indicated. Round each answer to the same number of significant digits as in the original...

Mathematics For Machine Technology

Major League Baseball franchises rely on attendance for a large share of their total revenue, and weekend games...

Statistics for Business & Economics, Revised (MindTap Course List)

A survey of adults aged 18 and older conducted by Princess Cruises asked how many days into your vacation does ...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Practice Graph the solution set of each system of inequalities. {2x3y63x+2y6

College Algebra (MindTap Course List)

Finding Partial DerivativesIn Exercises 1926, find all finding partial derivatives. f(x,y)=excosy

Multivariable Calculus

Sketching a Line in the Plane In Exercises 3542, sketch the graph of the equation. x+2y+6=0

Calculus (MindTap Course List)

bartleby
© bartleby 2019