BuyFind*launch*

6th Edition

Daniel C. Alexander + 1 other

Publisher: Cengage Learning

ISBN: 9781285195698

Chapter 4.1, Problem 36E

Textbook Problem

When the bisectors of two consecutive angles of a

parallelogram meet at a point on the remaining side,

what type of triangle is:

a) ∆DEC? |
b) ∆ADE? |
c) ∆BCE? |

Elementary Geometry for College Students

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 - 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 - 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 and 22,...Ch. 4.3 - For Exercises 21 and 22,...Ch. 4.3 - In Exercises 23 and 24, supply the missing...Ch. 4.3 - In Exercises 23 and 24, 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 - In Exercises 29 to 31, explain why each statement...Ch. 4.3 - In Exercises 29 to 31, explain why each statement...Ch. 4.3 - In Exercise 29 to 31, explain why each statement...Ch. 4.3 - In Exercises 32 to 37, write a formal proof of...Ch. 4.3 - In Exercises 32 to 37, write a formal proof of...Ch. 4.3 - In Exercises 32 to 37, write a formal proof of...Ch. 4.3 - In Exercises 32 to 37, write a formal proof of...Ch. 4.3 - In Exercises 32 to 37, write a formal proof of...Ch. 4.3 - In Exercises 32 to 37, write a formal proof of...Ch. 4.3 - In Exercises 38 and 39, you will need to use the...Ch. 4.3 - In Exercises 38 and 39, 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 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 - In Exercises 27 to 33, complete a formal proof....Ch. 4.4 - In exercises 27 to 33, complete a formal proof....Ch. 4.4 - In exercises 27 to 33, complete a formal proof. If...Ch. 4.4 - In exercises 27 to 33, complete a formal proof. If...Ch. 4.4 - In exercises 27 to 33, complete a formal proof. If...Ch. 4.4 - In exercises 27 to 33, complete a formal proof. If...Ch. 4.4 - In exercises 27 to 33, complete a formal proof....Ch. 4.4 - For exercises 34 and 35, EFis the median of...Ch. 4.4 - For exercises 34 and 35, 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 trap. ABCD not shown, mA=x2+10, mB=x3+50, and...Ch. 4.4 - In trap. ABCD, BCAB and BCCD. If...Ch. 4.4 - Draw and then trisect AB. Use the construction...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

Find and sketch the domain of the function. 15. f(x, y) = ln(9 x2 9y2)

Multivariable Calculus

Finding Real and Complex Zeros of Polynomials Find all rational, irrational, and complex zeros (and state their...

Precalculus: Mathematics for Calculus (Standalone Book)

Finding Discontinuities In Exercises 5156, use a graphing utility to graph the function. Use the graph to deter...

Calculus: An Applied Approach (MindTap Course List)

Let a=log2,b=log3, and c=log7. In Exercises 2946, use the logarithm identities to express the given quantity in...

Applied Calculus

Change 4 ft to inches.

Elementary Technical Mathematics

In Exercises 53 to 62, use set notation to describe the shaded region. You may use any of the following symbols...

Mathematical Excursions (MindTap Course List)

For Problems 55-94, simplify each numerical expression. Objectives 7 56(8)(6)(2)

Intermediate Algebra

A Scavenger Hunt A tree is located 20 yd to the east and 10 yd to the north of a house. A second tree is locate...

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

Use the formula in Exercise 69a to find the curvature of the cycloid x=sin,y=1cos at the top of one of its arch...

Calculus (MindTap Course List)

Draw a polygon for the distribution of scores shown in the following table. X f 6 2 5 5 4 3 3 2 2 1

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

In Exercises 1728, use the logarithm identities to obtain the missing quantity.

Finite Mathematics and Applied Calculus (MindTap Course List)

In Problems 9-12, use the given transition matrix and the initial probability vector to find the second probabi...

Mathematical Applications for the Management, Life, and Social Sciences

Boyles Law states that when a sample of gas is compressed al a constant temperature, the product of the pressur...

Single Variable Calculus: Early Transcendentals, Volume I

Velocity and Acceleration A car travels in a straight line for 1 hour. Its velocity v in miles per hour at six-...

Calculus: Early Transcendental Functions

Critical Thinking: Different Confidence Levels (a) Suppose that a 95% confidence interval for a difference of p...

Understanding Basic Statistics

Determine whether f is even, odd, or neither even nor odd. (a) f(x) = 2x5 3x2 + 2 (b) f(x) = x3 x7 (c) f(x) =...

Single Variable Calculus

Professional athletes are threatening to strike because they claim that they are underpaid. The team owners hav...

Essentials Of Statistics

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 article On Assessing the Accuracy of Offshore Wind Turbine Reliability-Based Design Loads from the Environm...

Probability and Statistics for Engineering and the Sciences

Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power serie...

Calculus: Early Transcendentals

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

Finite Mathematics

35. (See Exercise 34.) If , prove that each element can be written uniquely as with and .
Exercise 34:
34. ...

Elements Of Modern Algebra

As the purchasing manager for Fuzzy Logic Industries, write a check dated April 29, 20xx, in the amount of $24,...

Contemporary Mathematics for Business & Consumers

CONCEPT CHECK First Derivative Test Describe the First Derivative Test in your own words.

Calculus of a Single Variable

Draw a graph of f and use it to make a rough sketch of the antiderivative that passes through the origin. f(x)=...

Single Variable Calculus: Early Transcendentals

Perform the following operation. Reduce if possible. 180

Trigonometry (MindTap Course List)

Finding a Jacobian In Exercises 3-10, find the Jacobian) (x,y)/(u,v) for the indicated change of variables. x=u...

Calculus: Early Transcendental Functions (MindTap Course List)

How many subrectangles of [0, 4] × [3, 8] are determined by the partition with Δx = 2 and Δy = 1?
6
8
10
20

Study Guide for Stewart's Multivariable Calculus, 8th

Using for |x| < 1 and differentiation, find a power series for .

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

Let E and F be two events, and suppose that P(E)=.35, P(F)=.55, and P(EF)=.70. Find P(E|F).

Finite Mathematics for the Managerial, Life, and Social Sciences

Read the setting on the following 0.001-inch micrometer scale. The vernier, thimble, and barrel scales are show...

Mathematics For Machine Technology

For an acceptance sampling plan with n = 25 and c = 0, find the probability of accepting a lot that has a defec...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Finding a VectorIn Exercises 4952, find the component form of v given its magnitude ad the angle it makes with ...

Multivariable Calculus

A shoe store developed the following estimated regression equation relating sales to inventory investment and a...

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

Describe how the reliability of a personality test could be established using the results from a correlational ...

Research Methods for the Behavioral Sciences (MindTap Course List)

The authors of the paper External Factors and the Incidence of Severe Trauma: Time, Date, Season and Moon (Inju...

Introduction To Statistics And Data Analysis

Describe the goal of single-case research and explain how single-case designs are related to other experimental...

Research Methods for the Behavioral Sciences (MindTap Course List)

The graph of each function is a horizontal stretching or shrinking of the graph of y=x2,ory=x3.Graph each funct...

College Algebra (MindTap Course List)

Find the volume and surface area of Figure 8.193.

Mathematics: A Practical Odyssey

Finding a Limit In Exercises 71-76, find each limit. (a) limx0f(x+x,y)f(x,y)x (b) limy0f(x,y+y)f(x,y)y f(x,y)=x...

Calculus (MindTap Course List)

51. western University has only one women’s softball scholarship remaining for the coming year. The final two p...

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

[T] A panicle travels in a circular path at a constant angular speed . The angular speed is modeled by the func...

Calculus Volume 1

Compute each of 62-76 Assume the values of the variables are restricted so that the expressions are defined. 67...

Discrete Mathematics With Applications

Reminder Round all answers to two decimal places unless otherwise indicated. Solving Exponential Equations In E...

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

Lean Process Improvement at the New York City Food Bank. In an effort to make better use of its resources, the ...

Essentials Of Statistics For Business & Economics

Rotation of a Shaft Suppose the x-axis on the interval [0, L] is the geometric center of a long straight shaft,...

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

Writing the Terms of a Sequence Involving Factorials In Exercises 59-62, write the first five terms of the sequ...

College Algebra