BuyFind*launch*

7th Edition

Alexander + 2 others

Publisher: Cengage,

ISBN: 9781337614085

Chapter 4.2, Problem 8E

Textbook Problem

In quadrilateral

a) What type of quadrilateral is

b) Which diagonal of the quadrilateral has the greater length?

Elementary Geometry For College Students, 7e

Ch. 4.1 - ABCD is a parallelogram. a Using a ruler, compare...Ch. 4.1 - ABCD is a parallelogram. a Using a ruler, compare...Ch. 4.1 - MNPQ is a parallelogram. Suppose that MQ=5, MN=8,...Ch. 4.1 - MNPQ is a parallelogram. Suppose that MQ=12.7,...Ch. 4.1 - For Exercises 5 to 8, MNPQ is a parallelogram with...Ch. 4.1 - For Exercises 5 to 8, MNPQ is a parallelogram with...Ch. 4.1 - For Exercises 5 to 8, MNPQ is a parallelogram with...Ch. 4.1 - For Exercises 5 to 8, MNPQ is a parallelogram with...Ch. 4.1 - Given that AB=3x+2, BC=4x+1, and CD=5x-2, find the...Ch. 4.1 - Given that mA=2x+3, and mC=3x-27, find the measure...

Ch. 4.1 - Given that mA=2x+3, and mB=3x-23, find the measure...Ch. 4.1 - Given that mA=2x5, and mB=x2, find the measure of...Ch. 4.1 - Given that mA=2x3, and mC=x2+20, find the measure...Ch. 4.1 - Given that mA=2x+y, mB=2x+3y-20, and mC=3x-y+16,...Ch. 4.1 - Assuming that mBmA in , which diagonal AC-orBD-...Ch. 4.1 - Suppose that diagonals AC-andBD- of are drawn and...Ch. 4.1 - In Exercises 17 and 18, consider with VX- RS- and...Ch. 4.1 - In Exercises 17 and 18, consider with VX- RS- and...Ch. 4.1 - In Exercises 19 to 22, classify each statement as...Ch. 4.1 - In Exercises 19 to 22, classify each statement as...Ch. 4.1 - In Exercises 19 to 22, classify each statement as...Ch. 4.1 - In Exercises 19 to 22, classify each statement as...Ch. 4.1 - In quadrilateral RSTV, the midpoints of...Ch. 4.1 - In quadrilateral ABCD, the midpoints of opposite...Ch. 4.1 - Quadrilateral ABCD has AB-DC- and AD-BC-. Using...Ch. 4.1 - Quadrilateral RSTV has RS-TV- and RS-TV-. Using...Ch. 4.1 - In Exercises 27-30, use the definition of a...Ch. 4.1 - In Exercises 27-30, use the definition of a...Ch. 4.1 - In Exercises 27 to 30, use the definition of a...Ch. 4.1 - In Exercises 27-30, use the definition of a...Ch. 4.1 - In Exercises 31 to 34, write a formal proof of...Ch. 4.1 - In Exercises 31 to 34, write a formal proof of...Ch. 4.1 - In Exercises 31 to 34, write a formal proof of...Ch. 4.1 - In Exercises 31 to 34, write a formal proof of...Ch. 4.1 - The bisectors of two consecutive angles of HJKL...Ch. 4.1 - When the bisectors of two consecutive angles of a...Ch. 4.1 - Draw parallelogram RSTV with mR=700 and mS=1100....Ch. 4.1 - Draw parallelogram RSTV so that the diagonals have...Ch. 4.1 - In quadrilaterals ABCD and EFGH, AB-DC-, EF-HG-,...Ch. 4.1 - In quadrilaterals ABCD and EFGH, AB-DC-, EF-HG-,...Ch. 4.1 - The following problem is based on the...Ch. 4.1 - In the drawing for Exercise 41, the bearing...Ch. 4.1 - Two streets meet to form an obtuse angle at point...Ch. 4.1 - To test the accuracy of the foundations...Ch. 4.1 - For a quadrilateral ABCD, the measures of its...Ch. 4.1 - Prove: In a parallelogram, the sum of the squares...Ch. 4.2 - Note: Exercises preceded by an asterisk are of a...Ch. 4.2 - a As shown, must RSTV be a parallelogram? b With...Ch. 4.2 - In the drawing, suppose that WY and XZ bisect each...Ch. 4.2 - In the drawing, suppose that ZX is the...Ch. 4.2 - A carpenter lays out boards of lengths 8 ft, 8 ft,...Ch. 4.2 - A carpenter joins four boards of lengths 6 ft, 6...Ch. 4.2 - In parallelogram ABCD not shown, AB=8, mB=110, and...Ch. 4.2 - In quadrilateral WXYZ, the measures of selected...Ch. 4.2 - In ABC, M and N are midpoints of AC and BC,...Ch. 4.2 - In ABC, M and N are midpoints of AC and BC,...Ch. 4.2 - In Exercises 11 to14 , assume that X, Y , and Z...Ch. 4.2 - In Exercises 11 to 14, assume that X, Y, and Z are...Ch. 4.2 - In Exercises 11 to 14, assume that X, Y, and Z are...Ch. 4.2 - In Exercises 11 to 14, assume that X, Y, and Z are...Ch. 4.2 - Consider and kite. a Does it have line symmetry?...Ch. 4.2 - Consider any parallelogram. a Does it have line...Ch. 4.2 - For compactness, the drop-down wheels of a...Ch. 4.2 - For compactness, the drop-down legs of an ironing...Ch. 4.2 - In Exercises 19 to 24, complete each proof. Given:...Ch. 4.2 - In Exercises 19 to 24, complete each proof. Given:...Ch. 4.2 - In Exercises 19 to24 , complete each proof. Given:...Ch. 4.2 - In Exercise 19 to24, complete each proof. Given:...Ch. 4.2 - In Exercise 19 to24, complete each proof. Given:...Ch. 4.2 - In Exercise 19 to24, complete each proof. Given:...Ch. 4.2 - In Exercises 25 to 28, write a formal proof of...Ch. 4.2 - In Exercises 25 to 28, write a formal proof of...Ch. 4.2 - In Exercises 25 to 28, write a formal proof of...Ch. 4.2 - In Exercises 25 to 28, write a formal proof of...Ch. 4.2 - In Exercises 29 to 31, M and Nare the midpoints of...Ch. 4.2 - In Exercises 29 to 31, M and Nare the midpoints of...Ch. 4.2 - In Exercises 29 to 31, M and Nare the midpoints of...Ch. 4.2 - For Exercises 32 to 35, consider kite ABCD with...Ch. 4.2 - For Exercises 32 to 35, consider kite ABCD with...Ch. 4.2 - For Exercises 32 to 35, consider kite ABCD with...Ch. 4.2 - For Exercises 32 to 35, consider kite ABCD with...Ch. 4.2 - Are ABCD and EFGH congruent if: a ABEF and BCFG? b...Ch. 4.2 - Are ABCD and EFGH congruent if: a D and H are...Ch. 4.2 - For regular hexagon ABCDEF, a are quadrilateral...Ch. 4.2 - For regular octagon ABCDEFGH, a are quadrilateral...Ch. 4.2 - RSTV is a kite, with RSST and RVVT. If mSTV=40,...Ch. 4.2 - In concave kite ABCD, there is an interior angle...Ch. 4.2 - If the length of side AB for kite ABCD is 6 in.,...Ch. 4.2 - Prove that the segment that joins the midpoints of...Ch. 4.2 - Prove that when the midpoints of consecutive sides...Ch. 4.3 - Being as specific as possible, name the type of...Ch. 4.3 - Being as specific as possible, name the type of...Ch. 4.3 - Being as specific as possible, name the type of...Ch. 4.3 - Being as specific as possible, name the type of...Ch. 4.3 - If the diagonals of a parallelogram are...Ch. 4.3 - If the diagonals of a quadrilateral are...Ch. 4.3 - A line segment joins the midpoints of two opposite...Ch. 4.3 - In Exercises 8 to 10, use the properties of...Ch. 4.3 - In Exercises 8 to 10, use the properties of...Ch. 4.3 - In Exercises 8 to 10, use the properties of...Ch. 4.3 - In Exercises 11 to 14, consider MNPQ with...Ch. 4.3 - In Exercises 11 to 14, consider MNPQ with...Ch. 4.3 - In Exercises 11 to 14, consider MNPQ with...Ch. 4.3 - In Exercises 11 to 14, consider MNPQ with...Ch. 4.3 - In Exercises 15 to 18, consider rhombus ABCD with...Ch. 4.3 - In Exercises 15 to 18, consider rhombus ABCD with...Ch. 4.3 - In Exercises 15 to 18, consider rhombus ABCD with...Ch. 4.3 - In Exercises 15 to 18, consider rhombus ABCD with...Ch. 4.3 - Given: ABCD not shown with AB = 8 and BC = 6; M...Ch. 4.3 - Given: Rhombus RSTV not shown with diagonals...Ch. 4.3 - For Exercises 21 to 24, let...Ch. 4.3 - For Exercises 21 0t 24, let...Ch. 4.3 - For Exercises 21 to 24, let...Ch. 4.3 - For Exercises 21 t 24, let...Ch. 4.3 - In Exercises 25 and 26, supply the missing...Ch. 4.3 - In Exercises 25 and 26, supply the missing...Ch. 4.3 - Which types of quadrilaterals is are necessarily...Ch. 4.3 - Which types of quadrilaterals is are necessarily...Ch. 4.3 - Find the perimeter of the cyclic quadrilateral...Ch. 4.3 - Find the perimeter of the square shown.Ch. 4.3 - Are quadrilaterals ABCD and EFGH congruent aif...Ch. 4.3 - In Exercises 32 and 33, explain why each statement...Ch. 4.3 - In Exercises 32 and 33, explain why each statement...Ch. 4.3 - In Exercises 34 to 39, write a formal proof of...Ch. 4.3 - In Exercises 34 to 39, write a formal proof of...Ch. 4.3 - In Exercises 34 to 39, write a formal proof of...Ch. 4.3 - In Exercises 34 to 39, write a formal proof of...Ch. 4.3 - In Exercises 34 to 39, write a formal proof of...Ch. 4.3 - In Exercises 34 to 39, write a formal proof of...Ch. 4.3 - In Exercises 40 to 41, you will need to use the...Ch. 4.3 - In Exercises 40 to 41, you will need to use the...Ch. 4.3 - a Argue that the midpoint of the hypotenuse of a...Ch. 4.3 - Two sets of rails railroad tracks are equally...Ch. 4.3 - In square ABCD not shown, point E lies on side DC....Ch. 4.3 - In square ABCD not shown, point E lies in the...Ch. 4.3 - The sides of square ABCD are trisected at the...Ch. 4.4 - Find the measures of the remaining angles of...Ch. 4.4 - Find the measures of the remaining angles of...Ch. 4.4 - What type of trapezoid a has congruent diagonals....Ch. 4.4 - What type quadrilateral is formed when the...Ch. 4.4 - Given isosceles trapezoid ABCD, Find. a AC, if BD...Ch. 4.4 - In trapezoid ABCD, MN is the median. Without...Ch. 4.4 - If HandJ are supplementary, what type of...Ch. 4.4 - If HandJ are supplementary in HJKL, are a KandL...Ch. 4.4 - For Exercises 9 and 10, consider isosceles...Ch. 4.4 - For Exercises 9 and 10, consider isosceles...Ch. 4.4 - In Exercises 11 to 16, the drawing shows trapezoid...Ch. 4.4 - In Exercises 11 to 16, the drawing shows trapezoid...Ch. 4.4 - In Exercises 11 to 16, the drawing shows trapezoid...Ch. 4.4 - In Exercises 11 to 16, the drawing shows trapezoid...Ch. 4.4 - In Exercises 11 to 16, the drawing shows trapezoid...Ch. 4.4 - In Exercises 11 to 16, the drawing shows trapezoid...Ch. 4.4 - Given: ABCD is an isosceles trapezoid. Prove: ABE...Ch. 4.4 - Given: Isosceles ABE with AEBE; also, D and C are...Ch. 4.4 - In isosceles trapezoid WXYZ with bases ZY and WX,...Ch. 4.4 - In trapezoid WXYZ with bases ZY and WX, ZY = 12,...Ch. 4.4 - In isosceles trapezoid MNPQ with MNQP, diagonal...Ch. 4.4 - In trapezoid RSTV, RVST,mSRV=90, and M and N are...Ch. 4.4 - Each vertical section of a suspension bridge is in...Ch. 4.4 - The state of Nevada approximates the shape of a...Ch. 4.4 - In the figure, abc and B is the midpoint of AC. If...Ch. 4.4 - In the figure, abc and B is the midpoint of AC. If...Ch. 4.4 - EFGH and MNPQ are isosceles trapezoids. Are these...Ch. 4.4 - HJKL and WXYZ are right trapezoids. Are these...Ch. 4.4 - In exercises 29 to 35, complete a formal proof....Ch. 4.4 - In exercises 29 to 35, complete a formal proof....Ch. 4.4 - In exercises 29 to 35, complete a formal proof. If...Ch. 4.4 - In exercises 29 to 35, complete a formal proof. If...Ch. 4.4 - In exercises 29 to 35, complete a formal proof. If...Ch. 4.4 - In exercises 29 to 35, complete a formal proof. If...Ch. 4.4 - In exercises 29 to 35, complete a formal proof....Ch. 4.4 - For exercises 36 and 37, EFis the median of...Ch. 4.4 - For exercises 36 and 37, EFis the median of...Ch. 4.4 - Given: ABDC mA=mB=56CEDA and CF bisects DCB Find:...Ch. 4.4 - In a gambrel style roof, the gable end of a barn...Ch. 4.4 - Successive steps on a ladder form isosceles...Ch. 4.4 - The vertical side wall of an in-ground pool that...Ch. 4.4 - For the in-ground pool shown in Exercise 41, find...Ch. 4.4 - With MNQP and MQQP, MNPQ is a right trapezoid....Ch. 4.4 - With MNQP and MQ, MNPQ is a right trapezoid. Find...Ch. 4.4 - In trapezoid ABCD not shown, mA=x2+10, mB=x3+50...Ch. 4.4 - In trapezoid ABCD, BCAB and BCCD. If...Ch. 4.4 - Draw and then trisect AB. Use the construction...Ch. 4.4 - In trapezoid ABCD, ABDC and mA=90. If...Ch. 4.CR - Review Exercises State whether the statements in...Ch. 4.CR - Review Exercises State whether the statements in...Ch. 4.CR - Review Exercises State whether the statements in...Ch. 4.CR - Review Exercises State whether the statements in...Ch. 4.CR - Review Exercises State whether the statements in...Ch. 4.CR - Review Exercises State whether the statements in...Ch. 4.CR - Review Exercises State whether the statements in...Ch. 4.CR - Review Exercises State whether the statements in...Ch. 4.CR - Review Exercises State whether the statements in...Ch. 4.CR - Review Exercises State whether the statements in...Ch. 4.CR - Review Exercises State whether the statements in...Ch. 4.CR - Review Exercises State whether the statements in...Ch. 4.CR - Review Exercises Given: ABCD CD=2x+3 BC=5x-4...Ch. 4.CR - Review Exercises Given: ABCD mA=2x+6 mB=x+24 Find:...Ch. 4.CR - Review Exercises The diagonals of ABCD not shown...Ch. 4.CR - Review Exercises Given: MNOP mM=4x mO=2x+50 Find:...Ch. 4.CR - Review Exercises Using the information from Review...Ch. 4.CR - Review Exercises In quadrilateral ABCD, M is the...Ch. 4.CR - Review Exercises In isosceles trapezoid DEFG,...Ch. 4.CR - One base of a trapezoid has a length of 12.3 cm...Ch. 4.CR - Review Exercises In trapezoid MNOP, MN-PO- and R...Ch. 4.CR - Review Exercises In Review Exercises 22 to 24, M...Ch. 4.CR - Review Exercises In Review Exercises 22 to 24, M...Ch. 4.CR - Review Exercises In Review Exercises 22 to 24, M...Ch. 4.CR - Review Exercises Given: ABCD is a AF-CE- Prove:...Ch. 4.CR - Review Exercises Given: ABEF is a rectangle BCDE...Ch. 4.CR - Review Exercises Given: DE is a median of ADC...Ch. 4.CR - Review Exercises Given: FABHCD EADGCB Prove: ABCD...Ch. 4.CR - Review Exercises Given: ABCD is a parallelogram...Ch. 4.CR - Review Exercises Given: TWX is an isosceles, with...Ch. 4.CR - Review Exercises Construct rhombus ABCD, given...Ch. 4.CR - Review Exercises Draw rectangle ABCD with AB=5 and...Ch. 4.CR - Review Exercises Draw rectangle WXYZ with...Ch. 4.CR - Review Exercises Considering parallelograms,...Ch. 4.CR - Review Exercises What type of quadrilateral is...Ch. 4.CT - Consider ABCD as shown. a How are A and C...Ch. 4.CT - In RSTV not shown, RS=5.3 cm and ST=4.1 cm. Find...Ch. 4.CT - In ABCD, AD=5 and DC=9. If the altitude from...Ch. 4.CT - In RSTV, mS=57. Which diagonal (VSorRT) would have...Ch. 4.CT - In RSTV, VT=3x1,TS=2x+1,andRS=4(x2). Find the...Ch. 4.CT - Complete each statement: a If a quadrilateral has...Ch. 4.CT - Complete each statement: a In RSTV, RW is the...Ch. 4.CT - In ABC, M is the midpoint of AB and N is the...Ch. 4.CT - In ABC, M is the midpoint of AB and N is the...Ch. 4.CT - In ABC, M is the midpoint of AB and N is the...Ch. 4.CT - In rectangle ABCD, AD=12 and DC=5. Find the length...Ch. 4.CT - In trapezoid RSTV, RSVT. a Which sides are the...Ch. 4.CT - In trapezoid RSTV, RSVT and MN is the median, Find...Ch. 4.CT - In trapezoid RSTV of Exercise 13, RSVT and MN is...Ch. 4.CT - Complete the proof of the following theorem: In a...Ch. 4.CT - Complete the proof of the following theorem: The...Ch. 4.CT - In Kite RSTV, RS=2x4,ST=x1,TV=y3andRV=y. Find the...

Find more solutions based on key concepts

A lattice point in the plane is a point with integer coordinates. Suppose that circles with radius r are drawn ...

Calculus: Early Transcendentals

General: Roll Two Dice You roll two fair dice, a green one and a red one. (a) What is the probability of gettin...

Understanding Basic Statistics

Solve the initial-value problem. 23. y" y' 12y = 0, y(1) = 0, y'(1) = 1

Multivariable Calculus

Richter Scale If one earthquake has magnitude 6.5 on the Richter scale, what is the magnitude of another quake ...

Precalculus: Mathematics for Calculus (Standalone Book)

Use a table of values to estimate the value of the limit. If you have a graphing device, use it to confirm your...

Single Variable Calculus

There are two different formulas or methods that can be used to calculate SS. Under what circumstance is the de...

Statistics for The Behavioral Sciences (MindTap Course List)

Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever...

Probability and Statistics for Engineering and the Sciences

Explain why the formula for sample variance is different from the formula for population variance.

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

Twenty-five residents of a community for senior citizens were asked to keep track of the number of hours they w...

Essentials Of Statistics

Finding Velocity and Acceleration Vectors in Space In Exercises 11-20, the position vector r describes the path...

Calculus: Early Transcendental Functions

Finding Limits In Exercises 93-110, find the limit (if it exists). limx6x4

Calculus: An Applied Approach (MindTap Course List)

Perform the indicated operations and simplify: 916133218

Elementary Technical Mathematics

For Problems 1-10, answer true or false. The numerical coefficient of the term xy is 1.

Intermediate Algebra

In Exercises 3148, (a) factor the given expression, and (b) set the expression equal to zero and solve for the ...

Finite Mathematics

(2, 5]

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

Determine the set of points at which the function is continuous. f(x,y,z)=arcsin(x2+y2+z2)

Calculus (MindTap Course List)

A bacteria population starts with 400 bacteria and grows at a rate of r(t) = (450.268)e1.12567t bacteria per ho...

Single Variable Calculus: Early Transcendentals, Volume I

Market Equilibrium The supply function for a product is given by , and the demand is given by . Find the equili...

Mathematical Applications for the Management, Life, and Social Sciences

Evaluate the expression sin Exercises 116. (2)3

Finite Mathematics and Applied Calculus (MindTap Course List)

In Exercises 3148, (a) factor the given expression, and (b) set the expression equal to zero and solve for the ...

Applied Calculus

In Exercises 15 to 18, show that the given set is an infinite set by placing it in a one-to-one correspondence ...

Mathematical Excursions (MindTap Course List)

Write a polar equation of a conic with the focus at the origin and the given data. 6. Ellipse, eccentricity 0.6...

Single Variable Calculus: Early Transcendentals

Geometry An isosceles triangle is a triangle in which two sides are equal in length. The angle between the two ...

Trigonometry (MindTap Course List)

If , show that the distinct th roots of are given by.

Elements Of Modern Algebra

For the following balance sheet items, check the appropriate category.
Current Fixed Current Long-Term Ownerâ€™s
...

Contemporary Mathematics for Business & Consumers

Finding the Area of a Polar Region In Exercises 7-18, Find the area of the region. Interior of r=9sin (above th...

Calculus of a Single Variable

EQUILIBRIUM QUANTITY AND PRICE FOR EARBUD HEADPHONES The demand equation for the Primo earbud headphone is p=0....

Finite Mathematics for the Managerial, Life, and Social Sciences

An integral for the solid obtained by rotating the region at the right about the y-axis is:

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

, where E is the wedge-shaped solid shown at the right, equals:

Study Guide for Stewart's Multivariable Calculus, 8th

Using a Series Consider the infinite series n=112n+(1)n (a) Find the first five terms of the sequence of partia...

Calculus: Early Transcendental Functions (MindTap Course List)

Parametric Equations What information does a set of parametric equations provide that is lacking in a rectangul...

Calculus (MindTap Course List)

The five most common words appearing in spam emails are shipping!, today!, here!, available, and fingertips! (A...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

In Exercises 3338, use a double integral in polar coordinates to find the volume of the solid bounded by the gr...

Multivariable Calculus

The National Football League (NFL) holds its annual draft of the nations best college football players in April...

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

In Exercises 4754, find the probability that the sum is as states when a pair of dice is rolled. a. 2. b. 4. c....

Mathematics: A Practical Odyssey

A researcher has a sample of 30 rats that are all cloned from the same source. The 30 rats are genetically iden...

Research Methods for the Behavioral Sciences (MindTap Course List)

Solve the following exercises based on Principles 18 through 21, although an exercise may require the applicati...

Mathematics For Machine Technology

The following quote is from the article Credit Card Debt Rises Faster for Seniors (USA TODAY, July 28, 2009): T...

Introduction To Statistics And Data Analysis

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)

Describe the pattern that would appear in a scatter plot showing the data points for each of the following corr...

Research Methods for the Behavioral Sciences (MindTap Course List)

28. A survey of magazine subscribers showed that 45.8% rented a car during the past 12 months for business reas...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

Sketching an Ellipse In Exercises 45-52, find the center, foci, and vertices of the ellipse. Then sketch the el...

College Algebra

Reminder Round all answers to two decimal places unless otherwise indicated. Ebola The following table shows th...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

In the following exercises, use the graph of the function y=h(x) shown here to find the values, if possible. Es...

Calculus Volume 1

In 24-34, Fa,F1,F2,...is the Fibonacci sequence. Use the recurrence relation and values for F0,F1,F2... given i...

Discrete Mathematics With Applications

In Problems 37 and 38 use the substitution t = x to solve the given initial-value problem on the interval (, 0)...

A First Course in Differential Equations with Modeling Applications (MindTap Course List)

A Bloomberg Businessweek North American subscriber study collected data from a sample of 2861 subscribers. Fift...

Essentials Of Statistics For Business & Economics

Find the probability that the person was Latino.

Introductory Statistics