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 4.3, Problem 37E
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 32 to 37, write a formal proof of each theorem.

If the midpoints of the sides of a rectangle are joined in order, the quadrilateral formed is a rhombus.

To determine

To write:

A formal proof of the given theorem.

Explanation

Calculation:

Given: If the midpoints of the sides of a rectangle are joined in order, the quadrilateral formed is a rhombus.

Consider the rectangle ABCD and the quadrilateral formed by joining the midpoints E, F, G, H of the sides of the rectangle.

Consider a rectangle with its longest side being horizontal.

The rhombus will form four triangles, each in a corner of the rectangle.

By the definition of midpoint, the two sides next to the 90 degree angles for the all of the triangles will be congruent.

By SAS, this means that the triangles are congruent.

Since sides opposite to each other are congruent, it is a parallelogram.

Since adjacent sides are congruent and it is a parallelogram, it is a rhombus.

△AEH≅ △EBF≅ &

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution
arrow_back
Chapter 4.3,
Problem 36E
Chapter 4.3,
Problem 38E
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

In Exercises 15 to 18, consider rhombus ABCD with diagonals ACandDB. When the answer is not a whole number, lea...

Elementary Geometry For College Students, 7e

Velocity A rock is dropped from a tower on the Brooklyn Bridge, 276 feet above the East River. Let t represent ...

Calculus: An Applied Approach (MindTap Course List)

Simplify each expression in Exercises 1730, expressing your answer in positive exponent form. (xy2x2y1z)3

Finite Mathematics

You are the merchandise manager at Best Buy. The following data represent your records of the annual inventory ...

Contemporary Mathematics for Business & Consumers

Expand each expression in Exercises 122. (x+yxy)2

Applied Calculus

Figure 17 shows a walkway with a handrail. Angle is the angle between the walkway and the horizontal. Use Figu...

Trigonometry (MindTap Course List)

Sketching a Graph Sketch the graph of a differentiable function f such that f 0 and f' 0 for all real numbers ...

Calculus: Early Transcendental Functions (MindTap Course List)

If f is continuous, prove that 0/2f(cosx)dx=0/2f(sinx)dx

Calculus (MindTap Course List)

Find the differential of the function. 28. T=v1+uvw

Multivariable Calculus

Find an equation of the horizontal line that passes through (4, 3).

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

Around Halloween each year the grocery store sells three -pound bags of candy contains a mixture of three diffe...

Statistics for The Behavioral Sciences (MindTap Course List)

Using the Tabular Method In Exercises 53-58, use the tabular method to find the indefinite integral. (x+2)2sinx...

Calculus of a Single Variable

(a) How large do we have to take x so that 1x0.0001? (b) Taking r = 12 in Theorem 5, we have the statement limx...

Single Variable Calculus: Early Transcendentals, Volume I

Expand each expression in Exercises 122. (y1y)(y+1y)

Finite Mathematics and Applied Calculus (MindTap Course List)

Fill in the blanks: Two matrices are equal provided that they have the same and their corresponding are equal...

Finite Mathematics for the Managerial, Life, and Social Sciences

Exercises 3. Find the order of each element of the group in Example of section. Example 3. We shall take and...

Elements Of Modern Algebra

Verify that for A and C as defined in Exercises 1 to 10, n(A U C) = n(A) + n(C) - n(A C).

Mathematical Excursions (MindTap Course List)

Prove the statement using the , definition of a limit. 21. limx4x22x8x4=6

Single Variable Calculus

Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpsons Rule to approximate the given integral wi...

Single Variable Calculus: Early Transcendentals

Solving Inequalities Graphically Use a graphing device to solve the inequality, as in Example 5. Express your a...

Precalculus: Mathematics for Calculus (Standalone Book)

27. Sinking fund How much would have to be invested at the end of each year at 6% compounded annually to pay of...

Mathematical Applications for the Management, Life, and Social Sciences

(a) Sketch the graph of the function g(x) = x + |x|. (b) For what values of x is g differentiable? (c) Find a f...

Calculus: Early Transcendentals

SOCA variety of information has been gathered from a sample of college freshmen and seniors, including Their re...

Essentials Of Statistics

A lax form asks people to identify their age. annual income, number of dependents, and social security number. ...

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

What condition on and is necessary for the standard beta pdf to be symmetric?

Probability and Statistics for Engineering and the Sciences

Finding a Triple Scalar Product In Exercises 31-34, find u(vw) u=2,0,1,v=0,3,0w=0,0,1

Calculus: Early Transcendental Functions

For Problems 1-50, solve each equation. Objective 1 x6=8

Intermediate Algebra

Basic Computation: Paired Differences Test For a random sample of 36 data pairs, the sample mean of the differe...

Understanding Basic Statistics

Follow the rules for working with measurements. A cylindrical tank is 25 ft 9 in. long and 7 ft 6 in. in diamet...

Elementary Technical Mathematics

The Taylor polynomial of degree 3 for f(x) = x(ln x − 1) about 1 is T3(x) = −1 + x − x2 + x3 −1 − x + x2 − x3...

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

The report Education Pays 2016 (The College Board, trends.collegeboard.org/sites/default/files/education-pays-2...

Introduction To Statistics And Data Analysis

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

Calculus

True or False: converges conditionally.

Study Guide for Stewart's Multivariable Calculus, 8th

Sketching a Graph In Exercises 15-20, sketch the graph of the function. y=3x

Calculus (MindTap Course List)

A researcher has demonstrated that a new non-competitive physical education program significantly improves self...

Research Methods for the Behavioral Sciences (MindTap Course List)

Consider the following data. a. Develop a frequency distribution using classes of 1214, 1517, 1820, 2123, and 2...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Determine the value of angle A in degrees and minutes for each of the given functions. Round the answers to the...

Mathematics For Machine Technology

The days to maturity for a sample of five money market funds are shown here. The dollar amounts invested in the...

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

A couple plans on having two children. a. Find the probability of having two girls. b. Find the probability of ...

Mathematics: A Practical Odyssey

Describe how environmental variables can be threats to internal validity for all studies, how some variables ca...

Research Methods for the Behavioral Sciences (MindTap Course List)

Critical Thinking Determine if the statement is true or false. If the statement is false, then correct it and m...

College Algebra (MindTap Course List)

Verifying the Divergence Theorem In Exercises 38, verify the Divergence Theorem by evaluating SFNds as a surfac...

Multivariable Calculus

bartleby
© bartleby 2019