Elementary Geometry For College Students, 7e

7th Edition

ISBN: 9781337614085

Author: Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher: Cengage,

See similar textbooks

Concept explainers

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These…

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are…

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) ge…

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.

Videos

Textbook Question

Chapter 1.1, Problem 40E

Chapter 1.1, Problem 40E, Exercises 3940 In the box shown for Exercise 38, use intuition to answer each question. a Are AG and

Exercises 39 − 40

In the “box” shown for Exercise 38, use intuition to answer each question.

a) Are A G ¯ and B C ¯ skew line segments?

b) Are A G ¯ and B C ¯ congruent line segments?

c) Are G F ¯ and D C ¯ parallel?

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 1.1, Problem 39E

Chapter 1.1, Problem 41E

Chapter 1 Solutions

Elementary Geometry For College Students, 7e

Ch. 1.1 - In Exercises 1 and 2, complete the statement....Ch. 1.1 - In Exercises 1 and 2, complete the statement....Ch. 1.1 - In Exercises 3 and 4, use the fact that...Ch. 1.1 - Prob. 4E Ch. 1.1 - Prob. 5E Ch. 1.1 - In Exercises 5 and 6, use the fact that...Ch. 1.1 - Eleanor finds the 15-mile road from A to C is...Ch. 1.1 - A cross-country runner jogs at a rate of 15 feet...Ch. 1.1 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.1 - In Exercises 9 to 28, use the drawings as needed...

Ch. 1.1 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.1 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.1 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.1 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.1 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.1 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.1 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.1 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.1 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.1 - Prob. 20E Ch. 1.1 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.1 - Prob. 22E Ch. 1.1 - Prob. 23E Ch. 1.1 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.1 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.1 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.1 - Prob. 27E Ch. 1.1 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.1 - Prob. 29E Ch. 1.1 - In Exercises 29 to 32, use only a compass and a...Ch. 1.1 - In Exercises 29 to 32, use only a compass and a...Ch. 1.1 - Prob. 32E Ch. 1.1 - Can you use the construction for the midpoint of a...Ch. 1.1 - Generalize your findings in Exercise 33. 33. Can...Ch. 1.1 - Consider points A, B, C, and D, no three of which...Ch. 1.1 - Consider noncoplanar points A, B, C, and D. Using...Ch. 1.1 - Line l is parallel to plane P that is, it will not...Ch. 1.1 - AB and EF are said to be skew lines because they...Ch. 1.1 - Exercises 3840 In the box shown for Exercise 38,...Ch. 1.1 - Exercises 3940 In the box shown for Exercise 38,...Ch. 1.1 - Let AB=a and BC=b. Point M is the midpoint of BC....Ch. 1.2 - What type of angle has the given measure? a 47 b...Ch. 1.2 - What type of angle has the given measure? a 115 b...Ch. 1.2 - What relationship, if any, exists between two...Ch. 1.2 - What relationship, if any, exists between two...Ch. 1.2 - In Exercises 5 to 8, describe in one word the...Ch. 1.2 - In Exercises 5 to 8, describe in one word the...Ch. 1.2 - In Exercises 5 to 8, describe in one word the...Ch. 1.2 - In Exercises 5 to 8, describe in one word the...Ch. 1.2 - Use drawings as needed to answer each of the...Ch. 1.2 - Suppose that AB,AC,AD,AE, and AF are coplanar,...Ch. 1.2 - Exercises 10-13 Without using a protractor, name...Ch. 1.2 - Exercises 10-13 What, if anything, is wrong with...Ch. 1.2 - Exercises 10-13 FAC and CAD are adjacent and AF...Ch. 1.2 - For Exercises 14 and 15, let m1=x and m2=y. Using...Ch. 1.2 - For Exercises 14 and 15, let m1=x and m2=y. Using...Ch. 1.2 - Given: mRST=39 mTSV=23 Find: mRSV Exercises 1624 Ch. 1.2 - Exercises 1624 Given: mRSV=59 mTSV=17 Find: mRST Ch. 1.2 - Exercises 1624 Given: mRST=2x+9 mTSV=3x2 mRSV=67...Ch. 1.2 - Exercises 1624 Given: mRST=2x10 mTSV=x+6...Ch. 1.2 - Exercises 1624 Given: mRST=5(x+1)3 mTSV=4(x2)+3...Ch. 1.2 - Exercises 1624 Given: mRST=x2 mTSV=x4 mRSV=45...Ch. 1.2 - Exercises 1624 Given: mRST=2x3 mTSV=x2 mRSV=49...Ch. 1.2 - Exercises 1624 Given: STbisectsRSV mRST=x+y...Ch. 1.2 - Exercises 1624 Given: STbisectsRSV mRST=2x+3y...Ch. 1.2 - Given: AB and AC in plane P as shown AD intersects...Ch. 1.2 - Two angles are complementary. One angle is 12...Ch. 1.2 - Two angles are supplementary. One angle is 24 more...Ch. 1.2 - For two complementary angles, find an expression...Ch. 1.2 - Suppose that the two angles are supplementary....Ch. 1.2 - On the protractor shown, NP bisects MNQ. Find x....Ch. 1.2 - Exercises 30,31 On the protractor shown for...Ch. 1.2 - Classify as true or false: a If points P and Q lie...Ch. 1.2 - Prob. 33E Ch. 1.2 - Prob. 34E Ch. 1.2 - In Exercises 33 to 40, use only a compass and a...Ch. 1.2 - Prob. 36E Ch. 1.2 - Draw a triangle with three acute angles. Construct...Ch. 1.2 - Prob. 38E Ch. 1.2 - Prob. 39E Ch. 1.2 - Prob. 40E Ch. 1.2 - Given: 1 and 2 as shown in, sketch the bisectors...Ch. 1.2 - Prob. 42E Ch. 1.2 - Prob. 43E Ch. 1.2 - If mTSV=38,mUSW=40, and mTSW=61, find mUSV....Ch. 1.2 - Exercises 44, 45 If mTSU=x+2z,mUSV=xz, and...Ch. 1.2 - Prob. 46E Ch. 1.2 - On the hanging sign, the three angles...Ch. 1.2 - With 0x90, an acute angle has a measure x. Find...Ch. 1.3 - In Exercises 1 to 6, which property justifies the...Ch. 1.3 - In Exercises 1 to 6, which property justifies the...Ch. 1.3 - In Exercises 1 to 6, which property justifies the...Ch. 1.3 - Prob. 4E Ch. 1.3 - Prob. 5E Ch. 1.3 - In Exercises 1 to 6, which property justifies the...Ch. 1.3 - In Exercises 7 10, state the property or...Ch. 1.3 - In Exercises 7 10, state the property or...Ch. 1.3 - Prob. 9E Ch. 1.3 - In Exercises 7 10, state the property or...Ch. 1.3 - Prob. 11E Ch. 1.3 - Prob. 12E Ch. 1.3 - Prob. 13E Ch. 1.3 - Prob. 14E Ch. 1.3 - Prob. 15E Ch. 1.3 - Prob. 16E Ch. 1.3 - In Exercises 11 to 22, use the Given information...Ch. 1.3 - Prob. 18E Ch. 1.3 - Prob. 19E Ch. 1.3 - Prob. 20E Ch. 1.3 - In Exercises 11 to 22, use the Given information...Ch. 1.3 - Prob. 22E Ch. 1.3 - In Exercises 23 to 24, fill in the missing reasons...Ch. 1.3 - In Exercises 23 to 24, fill in the missing reasons...Ch. 1.3 - Prob. 25E Ch. 1.3 - Prob. 26E Ch. 1.3 - Prob. 27E Ch. 1.3 - In Exercises 27 to 30, fill in the missing reasons...Ch. 1.3 - In Exercises 27 to 30, fill in the missing reasons...Ch. 1.3 - In Exercises 27 to 30, fill in the missing reasons...Ch. 1.3 - In Exercises 31 and 32, fill in the missing...Ch. 1.3 - In Exercises 31 and 32, fill in the missing...Ch. 1.3 - Prob. 33E Ch. 1.3 - Prob. 34E Ch. 1.3 - Prob. 35E Ch. 1.3 - The Division Property of Inequality requires that...Ch. 1.3 - Prob. 37E Ch. 1.3 - Prob. 38E Ch. 1.3 - Prob. 39E Ch. 1.3 - Write a proof for: If a=b and c=d, then ac=bd....Ch. 1.4 - In Exercise 1 and 2, supply reasons. Given: 13...Ch. 1.4 - In Exercise 1 and 2, supply reasons. Given: AB...Ch. 1.4 - In Exercise 3 and 4, supply statements. Given: 12...Ch. 1.4 - In Exercise 3 and 4, supply statements. Given:...Ch. 1.4 - In Exercise 5 to 9, use a compass and a...Ch. 1.4 - In Exercises 5 to 9, use a compass and a...Ch. 1.4 - In Exercise 5 to 9, use a compass and a...Ch. 1.4 - Prob. 8E Ch. 1.4 - Prob. 9E Ch. 1.4 - Prob. 10E Ch. 1.4 - In Exercise 11 and 12, provide the missing...Ch. 1.4 - In Exercise 11 and 12, provide the missing...Ch. 1.4 - Does the relation is perpendicular to have a...Ch. 1.4 - Does the relation is greater than have a reflexive...Ch. 1.4 - Does the relation is complementary to for angles...Ch. 1.4 - Does the relation is less than for a numbers have...Ch. 1.4 - Does the relation is a brother of have a reflexive...Ch. 1.4 - Does the relation is a friend of have a reflexive...Ch. 1.4 - Prob. 19E Ch. 1.4 - Sometimes symbols and abbreviations are used in...Ch. 1.4 - Prob. 21E Ch. 1.4 - Prob. 22E Ch. 1.4 - Prove the Extended Segment Addition Property by...Ch. 1.4 - The Segment-Addition Postulate can be generalized...Ch. 1.4 - Prove the Extended Angle Addition Property by...Ch. 1.4 - The Angle-Addition Postulate can be generalized as...Ch. 1.4 - Prob. 27E Ch. 1.4 - In the proof below, provide the missing reasons....Ch. 1.4 - Prob. 29E Ch. 1.4 - Prob. 30E Ch. 1.5 - In Exercises 1 to 6, state the hypothesis H and...Ch. 1.5 - In Exercises 1 to 6, state the hypothesis H and...Ch. 1.5 - In Exercises 1 to 6, state the hypothesis H and...Ch. 1.5 - In Exercises 1 to 6, state the hypothesis H and...Ch. 1.5 - Prob. 5E Ch. 1.5 - In Exercises 1 to 6, state the hypothesis H and...Ch. 1.5 - Name, in order, the five parts of the formal proof...Ch. 1.5 - Which part hypothesis or conclusion of a theorem...Ch. 1.5 - Which part Given or Prove of the proof depends...Ch. 1.5 - Which of the following can be cited as a reason in...Ch. 1.5 - When can a theorem be cited as a reason reason in...Ch. 1.5 - Based upon the hypothesis of a theorem, do the...Ch. 1.5 - Prob. 13E Ch. 1.5 - Prob. 14E Ch. 1.5 - For each theorem stated in Exercises 13 to 18,...Ch. 1.5 - Prob. 16E Ch. 1.5 - For each theorem stated in Exercises 13 to 18,...Ch. 1.5 - Prob. 18E Ch. 1.5 - Prob. 19E Ch. 1.5 - Prob. 20E Ch. 1.5 - Prob. 21E Ch. 1.5 - Prob. 22E Ch. 1.5 - Prob. 23E Ch. 1.5 - Prob. 24E Ch. 1.5 - In Exercises 19 to 26, use the drawing in which AC...Ch. 1.5 - In Exercises 19 to 26, use the drawing in which AC...Ch. 1.5 - Prob. 27E Ch. 1.5 - Prob. 28E Ch. 1.5 - In Exercises 27 to 35, complete the formal proof...Ch. 1.5 - Prob. 30E Ch. 1.5 - Prob. 31E Ch. 1.5 - Prob. 32E Ch. 1.5 - In Exercises 27 to 35, complete the formal proof...Ch. 1.5 - In Exercises 27 to 35, complete the formal proof...Ch. 1.5 - In Exercises 27 to 35, complete the formal proof...Ch. 1.CR - Name the four components of a mathematical system.Ch. 1.CR - Name three types of reasoning.Ch. 1.CR - Name the four characteristics of a good...Ch. 1.CR - In Review Exercises 4 to 6, name the type of...Ch. 1.CR - In Review Exercises 4 to 6, name the type of...Ch. 1.CR - In Review Exercises 4 to 6, name the type of...Ch. 1.CR - In Review Exercises 7 and 8, state the hypothesis...Ch. 1.CR - In Review Exercises 7 and 8, state the hypothesis...Ch. 1.CR - Prob. 9CR Ch. 1.CR - Prob. 10CR Ch. 1.CR - Prob. 11CR Ch. 1.CR - A, B and C are three points on a line. AC=8, BC=4,...Ch. 1.CR - Prob. 13CR Ch. 1.CR - Figure MNPQ is a rhombus. Draw diagonals MP and QN...Ch. 1.CR - In Review Exercises 15 to 17, sketch and label the...Ch. 1.CR - In Review Exercises 15 to 17, sketch and label the...Ch. 1.CR - In Review Exercises 15 to 17, sketch and label the...Ch. 1.CR - On the basis of appearance, what type of angle is...Ch. 1.CR - On the basis of appearance, what type of angle is...Ch. 1.CR - Given: BD bisects ABC mABD=2x+15 mDBC=3x+5 Find:...Ch. 1.CR - Given: mABD=2x+5 mDBC=3x4 mABC=86 Find: mDBC Ch. 1.CR - Given: AM=3x1 MB=4x5 M is the midpoint of AB Find:...Ch. 1.CR - Given: AM=4x4 MB=5x+2 AB=25 Find: MB Ch. 1.CR - Given: D is the midpoint of AC ACBC CD=2x+5...Ch. 1.CR - Given: m3=7x21 m4=3x+7 Find: mFMH Ch. 1.CR - Given: mFMH=4x+1 m4=x+4 Find: m4 Ch. 1.CR - In the figure, find: a KHFJ b MJMH c KMJJMH d MKMH Ch. 1.CR - Given: EFG is a right angle. mHFG=2x6 mEFH=3mHFG...Ch. 1.CR - Two angles are supplementary. One angle is 40 more...Ch. 1.CR - aWrite an expression for the perimeter of the...Ch. 1.CR - The sum of the measures of all three angles of the...Ch. 1.CR - Susan wants to have a 4-ft board with some pegs on...Ch. 1.CR - State whether the sentences in Review Exercises 33...Ch. 1.CR - State whether the sentences in Review Exercises 33...Ch. 1.CR - State whether the sentences in Review Exercises 33...Ch. 1.CR - State whether the sentences in Review Exercises 33...Ch. 1.CR - State whether the sentences in Review Exercises 33...Ch. 1.CR - Fill in the missing statements or reasons. Given:...Ch. 1.CR - Write two-column proofs for Review Exercises 39 to...Ch. 1.CR - Write two-column proofs for Review Exercises 39 to...Ch. 1.CR - Prob. 41CR Ch. 1.CR - Prob. 42CR Ch. 1.CR - Prob. 43CR Ch. 1.CR - Prob. 44CR Ch. 1.CR - Prob. 45CR Ch. 1.CR - Prob. 46CR Ch. 1.CR - Given: VP Construct: VW such that VW=4VP Ch. 1.CR - Prob. 48CR Ch. 1.CR - Prob. 49CR Ch. 1.CR - Prob. 50CR Ch. 1.CR - Prob. 51CR Ch. 1.CR - Prob. 52CR Ch. 1.CT - Given ABC as shown, provide a second correct...Ch. 1.CT - Using the Segment-Addition Postulate, state a...Ch. 1.CT - Complete each postulate: a If two lines intersect,...Ch. 1.CT - Prob. 4CT Ch. 1.CT - Prob. 5CT Ch. 1.CT - Given that NP bisects MNQ, state a conclusion...Ch. 1.CT - Complete each theorem: a If two lines are...Ch. 1.CT - Given the line AC and ray BD, suppose that BE...Ch. 1.CT - Given that 2x3=7. What reason allows the...Ch. 1.CT - Given A-B-C-D, and M is the midpoint of AB. If...Ch. 1.CT - Prob. 11CT Ch. 1.CT - In the figure, mEFG=68 and m3=33. Find m4.Ch. 1.CT - In the figure, m3=x and m4=2x3. If mEFG=69, find:...Ch. 1.CT - Prob. 14CT Ch. 1.CT - Prob. 15CT Ch. 1.CT - Prob. 16CT Ch. 1.CT - Prob. 17CT Ch. 1.CT - Construct the angle bisector of obtuse angle RST.Ch. 1.CT - Prob. 19CT Ch. 1.CT - In exercises 20 to 22, complete the missing...Ch. 1.CT - Prob. 21CT Ch. 1.CT - In exercises 20 to 22, complete the missing...Ch. 1.CT - Prob. 23CT

Knowledge Booster

$Geometry$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.

Exercises 39 − 40 In the “box” shown for Exercise 38, use intuition to answer each question. a) Are A G ¯ and B C ¯ skew line segments? b) Are A G ¯ and B C ¯ congruent line segments? c) Are G F ¯ and D C ¯ parallel?

Solution Summary: The author illustrates how two congruent lines must be of equal length.

Concept explainers

Videos

Want to see the full answer?

Chapter 1 Solutions