Elementary Geometry for College Students
Elementary Geometry for College Students
6th Edition
ISBN: 9781285195698
Author: Daniel C. Alexander, Geralyn M. Koeberlein
Publisher: Cengage Learning
bartleby

Concept explainers

Coordinate Geometry
Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on …
bartleby

Videos

Textbook Question
Book Icon
Chapter 10.CT, Problem 15CT

In the figure, we see that m R S - = m V T - = 0 . Find the equation that relates r ,   s ,   a n d   t if it is known that R S T V is a parallelogram.                                                                                                 _        

Chapter 10.CT, Problem 15CT, In the figure, we see that mRS-=mVT-=0. Find the equation that relates r,s,andt if it is known that

Expert Solution & Answer
Check Mark

Want to see the full answer?

Check out a sample textbook solution
Blurred answer
Previous
Chapter 10.CT, Problem 14CT
Next
Chapter 10.CT, Problem 16CT
Students have asked these similar questions
Data Analysis DeltaMath Student Applical X Home $i$ Grades and Attendance x ent/3903821/26770486/bae6d3c1493d9868572f4878b5c163b6 y School St... Quizez And Tests Cancer reserch College Reserch Highschool Reserch Writing SCP Step Reason Statement ADBC 1 Given AD || BC 2 ACCA Reflexive Property try Type of Statement C B +> D A Feb 14
If given is the graph of f(x), then how does the graph of modulus of f(x) will look like(roughly)?
Melissa claims the triangles are similar. Is her claim correct? If her claim is correct, state the transformations that map  △⁢M⁢N⁢O △MNO  onto  △⁢P⁢R⁢Q. △PRQ.  If her claim is not correct, explain why.

Chapter 10 Solutions

Elementary Geometry for College Students

Ch. 10.1 - Plot and then label the points A0,-3, B3,-4, C5,...Ch. 10.1 - Give the coordinates of each point A, B, C, D, and...Ch. 10.1 - Find the distance between each pair of points: a...Ch. 10.1 - If the distance between -2, 3 and -2,a is 5 units,...Ch. 10.1 - If the distance between b,3 and 7, 3 is 3.5 units,...Ch. 10.1 - Prob. 6ECh. 10.1 - Find the distance between each pair of points: a...Ch. 10.1 - Find the distance between each pair of points: a...Ch. 10.1 - Find the midpoint of the line segment that joins...Ch. 10.1 - Prob. 10E
Ch. 10.1 - Points A and B have symmetry with respect to the...Ch. 10.1 - Points A and B have symmetry with respect to point...Ch. 10.1 - Points A and B have symmetry with respect to point...Ch. 10.1 - Points A and B have symmetry with respect to the...Ch. 10.1 - Prob. 15ECh. 10.1 - Points A and B have symmetry with respect to the...Ch. 10.1 - Points A and B have symmetry with respect to the...Ch. 10.1 - Prob. 18ECh. 10.1 - Points A and B have symmetry with respect to a...Ch. 10.1 - In Exercises 20 to 22, apply the Midpoint Formula....Ch. 10.1 - Prob. 21ECh. 10.1 - Prob. 22ECh. 10.1 - A rectangle ABCD has three of its vertices at...Ch. 10.1 - A rectangle MNPQ has three of its vertices at M0,...Ch. 10.1 - Use the Distance Formula to determine the type of...Ch. 10.1 - Use the method of Example 4 to find the equation...Ch. 10.1 - Use the method of Example 4 to find the equation...Ch. 10.1 - For coplanar points A,B, and C, suppose that you...Ch. 10.1 - Prob. 29ECh. 10.1 - Prob. 30ECh. 10.1 - Prob. 31ECh. 10.1 - There are two points on the x-axis that are...Ch. 10.1 - The triangle that has vertices at...Ch. 10.1 - Use the boxing method as suggested in Exercise 33,...Ch. 10.1 - Determine the area of ABC if A=2,1,B=5,3,andC is...Ch. 10.1 - Find the area of ABC In Exercise 35, but assume...Ch. 10.1 - Find the exact volume of the solid that results...Ch. 10.1 - Find the exact volume of the solid that results...Ch. 10.1 - Find the exact volume of the solid that results...Ch. 10.1 - Find the exact volume of the solid that results...Ch. 10.1 - Find the exact lateral area of each solid in...Ch. 10.1 - Find the volume of the solid formed when the...Ch. 10.1 - By definition, an ellipse is the locus of points...Ch. 10.1 - By definition, a hyperbola is the locus of points...Ch. 10.1 - Prob. 45ECh. 10.1 - Use the Distance Formula to show that the equation...Ch. 10.1 - Following a 90 counterclockwise rotation about the...Ch. 10.1 - Consider the point Ca,b. What is the image of C...Ch. 10.1 - Prob. 49ECh. 10.2 - In Exercises 1 to 8, draw the graph of each...Ch. 10.2 - Prob. 2ECh. 10.2 - Prob. 3ECh. 10.2 - Prob. 4ECh. 10.2 - In Exercises 1 to 8, draw the graph of each...Ch. 10.2 - Prob. 6ECh. 10.2 - Prob. 7ECh. 10.2 - Prob. 8ECh. 10.2 - Which points lie on the graph of 5x-4y=32? a 4,-3...Ch. 10.2 - Prob. 10ECh. 10.2 - Find the slopes of the lines containing: a 2,-3...Ch. 10.2 - Prob. 12ECh. 10.2 - Find x so that AB- has slope m, where: a A is...Ch. 10.2 - Prob. 14ECh. 10.2 - Are these points collinear? a A-2,5, B0,2, and...Ch. 10.2 - Are these points collinear? a A-1,-2, B3,2, and...Ch. 10.2 - Parallel lines l1 and l2 have slopes m1 and m2,...Ch. 10.2 - Prob. 18ECh. 10.2 - Perpendicular lines l1 and l2 have slopes m1 and...Ch. 10.2 - Prob. 20ECh. 10.2 - In Exercises 21 to 24, state whether the lines are...Ch. 10.2 - In Exercises 21 to 24, state whether the lines are...Ch. 10.2 - In Exercises 21 to 24, state whether the lines are...Ch. 10.2 - In Exercises 21 to 24, state whether the lines are...Ch. 10.2 - Find x such that the points Ax,5, B2,3, and C4,-5...Ch. 10.2 - Find a such that the points A1,3, B4,5, and Ca,a...Ch. 10.2 - Find x such that the line through 2,-3 and 3,2 is...Ch. 10.2 - Find x such that the line through 2,-3 and 3,2 is...Ch. 10.2 - Prob. 29ECh. 10.2 - Prob. 30ECh. 10.2 - Prob. 31ECh. 10.2 - In Exercises 29 to 34, draw the line described....Ch. 10.2 - In Exercises 29 to 34, draw the line described....Ch. 10.2 - In Exercises 29 to 34, draw the line described....Ch. 10.2 - Use slopes to decide whether the triangle with...Ch. 10.2 - If A2,2, B7,3, and C4,x are the vertices of a...Ch. 10.2 - If 2,3, 5,-2, and 7,2 are three vertices not...Ch. 10.2 - Three vertices of rectangle ABCD are A-5,1,...Ch. 10.2 - Show that quadrilateral RSTV is an isosceles...Ch. 10.2 - Show that quadrilateral ABCD is a parallelogram.Ch. 10.2 - Quadrilateral EFGH has the vertices E0,0, Fa,0,...Ch. 10.2 - Prob. 42ECh. 10.2 - Prob. 43ECh. 10.2 - Prove that if two lines neither horizontal nor...Ch. 10.2 - Prob. 45ECh. 10.2 - Prob. 46ECh. 10.3 - Find an expression for a The distance between a,0...Ch. 10.3 - Find the coordinates of the midpoint of the...Ch. 10.3 - Find the slope of the line containing the points a...Ch. 10.3 - Prob. 4ECh. 10.3 - Prob. 5ECh. 10.3 - Prob. 6ECh. 10.3 - Prob. 7ECh. 10.3 - In Exercises 5 to 10, the real numbers a, b, c,...Ch. 10.3 - Prob. 9ECh. 10.3 - In Exercises 5 to 10, the real numbers a, b, c,...Ch. 10.3 - In Exercises 11 to 16, supply the missing...Ch. 10.3 - In Exercises 11 to 16, supply the missing...Ch. 10.3 - In Exercises 11 to 16, supply the missing...Ch. 10.3 - Prob. 14ECh. 10.3 - In Exercises 11 to 16, supply the missing...Ch. 10.3 - In Exercises 11 to 16, supply the missing...Ch. 10.3 - In Exercises 17 to 22, draw an ideally placed...Ch. 10.3 - Prob. 18ECh. 10.3 - Prob. 19ECh. 10.3 - In Exercises 17 to 22, draw an ideally placed...Ch. 10.3 - In Exercises 17 to 22, draw an ideally placed...Ch. 10.3 - Prob. 22ECh. 10.3 - In Exercises 23 to 28, find the equation...Ch. 10.3 - In Exercises 23 to 28, find the equation...Ch. 10.3 - In Exercises 23 to 28, find the equation...Ch. 10.3 - In Exercises 23 to 28, find the equation...Ch. 10.3 - In Exercises 23 to 28, find the equation...Ch. 10.3 - Prob. 28ECh. 10.3 - The drawing shows isosceles ABC with AC-BC-. a...Ch. 10.3 - The drawing shows parallelogram RSTV. a What type...Ch. 10.3 - Prob. 31ECh. 10.3 - Which formula would you use to establish each of...Ch. 10.3 - Prob. 33ECh. 10.3 - Prob. 34ECh. 10.3 - In Exercises 33 to 36, draw and label a...Ch. 10.3 - In Exercises 33 to 36, draw and label a...Ch. 10.3 - In RST, SV- bisects RST. Find the coordinates of...Ch. 10.4 - In Exercises 1 to 17, complete an analytic proof...Ch. 10.4 - In Exercises 1 to 17, complete an analytic proof...Ch. 10.4 - In Exercises 1 to 17, complete an analytic proof...Ch. 10.4 - In Exercises 1 to 17, complete an analytic proof...Ch. 10.4 - In Exercises 1 to 17, complete an analytic proof...Ch. 10.4 - Prob. 6ECh. 10.4 - In Exercises 1 to 17, complete an analytic proof...Ch. 10.4 - In Exercises 1 to 17, complete an analytic proof...Ch. 10.4 - In Exercises 1 to 17, complete an analytic proof...Ch. 10.4 - Prob. 10ECh. 10.4 - Prob. 11ECh. 10.4 - In Exercises 1 to 17, complete an analytic proof...Ch. 10.4 - Prob. 13ECh. 10.4 - Prob. 14ECh. 10.4 - Prob. 15ECh. 10.4 - Prob. 16ECh. 10.4 - In Exercises 1 to 17, complete an analytic proof...Ch. 10.4 - Prob. 18ECh. 10.4 - Use the analytic method to decide what type of...Ch. 10.4 - Use slopes to verify that the graphs of the...Ch. 10.4 - Prob. 21ECh. 10.4 - Use the result in Exercise 20 to find the equation...Ch. 10.4 - Prob. 23ECh. 10.4 - Prob. 24ECh. 10.4 - Prob. 25ECh. 10.4 - Suppose that the circle with center 0, 0 and...Ch. 10.4 - Prob. 28ECh. 10.4 - Would the theorem of Exercise 7 remain true for a...Ch. 10.4 - Complete an analytic proof of the following...Ch. 10.5 - In Exercises 1 to 4, use division to write an...Ch. 10.5 - Prob. 2ECh. 10.5 - In Exercises 1 to 4, use division to write an...Ch. 10.5 - Prob. 4ECh. 10.5 - Prob. 5ECh. 10.5 - Prob. 6ECh. 10.5 - Prob. 7ECh. 10.5 - Prob. 8ECh. 10.5 - In Exercises 9 to 24, find an equation of the line...Ch. 10.5 - In Exercises 9 to 24, find an equation of the line...Ch. 10.5 - Prob. 11ECh. 10.5 - In Exercises 9 to 24, find an equation of the line...Ch. 10.5 - Prob. 13ECh. 10.5 - Prob. 14ECh. 10.5 - Prob. 15ECh. 10.5 - Prob. 16ECh. 10.5 - Prob. 17ECh. 10.5 - Prob. 18ECh. 10.5 - In Exercises 9 to 24, find an equation of the line...Ch. 10.5 - In Exercises 9 to 24, find an equation of the line...Ch. 10.5 - Prob. 21ECh. 10.5 - In Exercises 9 to 24, find an equation of the line...Ch. 10.5 - In Exercises 9 to 24, find an equation of the line...Ch. 10.5 - Prob. 24ECh. 10.5 - Prob. 25ECh. 10.5 - Prob. 26ECh. 10.5 - In Exercises 27 to 32, use graphing to find the...Ch. 10.5 - Prob. 28ECh. 10.5 - Prob. 29ECh. 10.5 - Prob. 30ECh. 10.5 - In Exercises 27 to 32, use graphing to find the...Ch. 10.5 - Prob. 32ECh. 10.5 - In Exercises 33 to 38, use algebra to find the...Ch. 10.5 - Prob. 34ECh. 10.5 - Prob. 35ECh. 10.5 - In Exercises 33 to 38, use algebra to find the...Ch. 10.5 - Prob. 37ECh. 10.5 - Prob. 38ECh. 10.5 - Prob. 39ECh. 10.5 - Prob. 40ECh. 10.5 - Prob. 41ECh. 10.5 - In Exercises 39 to 42, use substitution to solve...Ch. 10.5 - Prob. 43ECh. 10.5 - For isosceles PNQ, the vertices are P-2a,0, N2a,0,...Ch. 10.5 - Prob. 45ECh. 10.5 - Prob. 46ECh. 10.5 - Prob. 47ECh. 10.5 - Prob. 48ECh. 10.5 - Prob. 49ECh. 10.6 - In the Cartesian coordinate system below, name the...Ch. 10.6 - Prob. 2ECh. 10.6 - Prob. 3ECh. 10.6 - Find a direction vector for the line containing...Ch. 10.6 - For the line l:x,y,z=2,3,4+n3,-2,5, find a a point...Ch. 10.6 - For the line l:x,y,z=5,3,-2+n1,2,-2, find a a...Ch. 10.6 - Prob. 7ECh. 10.6 - In vector form as in Exercises 5 and 6, find an...Ch. 10.6 - Prob. 9ECh. 10.6 - Prob. 10ECh. 10.6 - In Exercises 11 to 14, find the distance between...Ch. 10.6 - In Exercises 11 to 14, find the distance between...Ch. 10.6 - Prob. 13ECh. 10.6 - Prob. 14ECh. 10.6 - Prob. 15ECh. 10.6 - In Exercises 15 to 18, find the midpoint of the...Ch. 10.6 - Prob. 17ECh. 10.6 - In Exercises 15 to 18, find the midpoint of the...Ch. 10.6 - In Exercises 19 and 20, use the x, y, and...Ch. 10.6 - Prob. 20ECh. 10.6 - Prob. 21ECh. 10.6 - Prob. 22ECh. 10.6 - In Exercises 23 to 26, find an equation for each...Ch. 10.6 - Prob. 24ECh. 10.6 - Prob. 25ECh. 10.6 - Prob. 26ECh. 10.6 - Prob. 27ECh. 10.6 - Prob. 28ECh. 10.6 - Prob. 29ECh. 10.6 - Prob. 30ECh. 10.6 - Prob. 31ECh. 10.6 - Prob. 32ECh. 10.6 - Prob. 33ECh. 10.6 - Prob. 34ECh. 10.6 - Prob. 35ECh. 10.6 - Prob. 36ECh. 10.6 - The line x,y,z=3,4,5+n3,4,-5 intersects the sphere...Ch. 10.6 - Prob. 38ECh. 10.6 - Prob. 39ECh. 10.6 - For the sphers x-12+y+22+z-42=36 and x2+y2+z2=64,...Ch. 10.6 - Does the sphere x2+y2+z2=100 have symmetry with...Ch. 10.6 - Prob. 43ECh. 10.6 - Lines l1: x,y,z=2,0,3+n2,-3,5 and l2:...Ch. 10.6 - The planes with the equation x+2z=12 and y-3z=6...Ch. 10.6 - Prob. 46ECh. 10.6 - Prob. 49ECh. 10.6 - Prob. 50ECh. 10.CR - Find the distance between each pair of points: a...Ch. 10.CR - Prob. 2CRCh. 10.CR - Find the midpoint of the line segment that joins...Ch. 10.CR - Prob. 4CRCh. 10.CR - Find the slope of the line containing each pair of...Ch. 10.CR - Find the slope of the line containing each pair of...Ch. 10.CR - 2,1 is the midpoint of AB-, in which A has...Ch. 10.CR - Prob. 8CRCh. 10.CR - If A has coordinates 2,1 and B has coordinates...Ch. 10.CR - Prob. 10CRCh. 10.CR - Without graphing, determine whether the pair of...Ch. 10.CR - Determine whether the points -6,5, 1,7, and 16,10...Ch. 10.CR - Prob. 13CRCh. 10.CR - Draw the graph of 3x+7y=21, and name the...Ch. 10.CR - Prob. 15CRCh. 10.CR - Prob. 16CRCh. 10.CR - Write an equation for a the line through 2,3 and...Ch. 10.CR - Prob. 18CRCh. 10.CR - Show that the triangle whose vertices are A3,6,...Ch. 10.CR - Prob. 20CRCh. 10.CR - Prob. 21CRCh. 10.CR - Prob. 22CRCh. 10.CR - In Exercises 23 and 24, solve the system of...Ch. 10.CR - In Exercises 23 and 24, solve the system of...Ch. 10.CR - Three of the four vertices of a parallelogram are...Ch. 10.CR - A3,1, B5,9, and C11,3 are the vertices of ABC. a...Ch. 10.CR - Prob. 27CRCh. 10.CR - Prob. 28CRCh. 10.CR - In Review Exercise 27 to 30, supply the missing...Ch. 10.CR - In Review Exercise 27 to 30, supply the missing...Ch. 10.CR - A2a,2b, B2c,2d, and C0,2e are the vertices of ABC....Ch. 10.CR - Prove the statements in Review Exercises 32 to 36...Ch. 10.CR - Prove the statements in Review Exercises 32 to 36...Ch. 10.CR - Prove the statements in Review Exercises 32 to 36...Ch. 10.CR - Prove the statements in Review Exercises 32 to 36...Ch. 10.CR - Prove the statements in Review Exercises 32 to 36...Ch. 10.CR - Determine whether ABC, with vertices A0,0,0,...Ch. 10.CR - Prob. 38CRCh. 10.CR - Prob. 39CRCh. 10.CR - Prob. 40CRCh. 10.CT - Prob. 1CTCh. 10.CT - Prob. 2CTCh. 10.CT - Prob. 3CTCh. 10.CT - Prob. 4CTCh. 10.CT - Complete the following table of x and...Ch. 10.CT - Using the table from Exercise 5, sketch the graph...Ch. 10.CT - Prob. 7CTCh. 10.CT - Prob. 8CTCh. 10.CT - Prob. 9CTCh. 10.CT - Prob. 10CTCh. 10.CT - Prob. 11CTCh. 10.CT - Prob. 12CTCh. 10.CT - Using as few variables as possible, state the...Ch. 10.CT - Prob. 14CTCh. 10.CT - In the figure, we see that mRS-=mVT-=0. Find the...Ch. 10.CT - Prob. 16CTCh. 10.CT - Prob. 17CTCh. 10.CT - Prob. 18CTCh. 10.CT - Prob. 19CTCh. 10.CT - Use the drawing provided for the proof of the...Ch. 10.CT - Prob. 21CTCh. 10.CT - Prob. 22CT
Knowledge Booster
Background pattern image
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.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Text book image
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Text book image
Elementary Geometry for College Students
Geometry
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Cengage Learning
Text book image
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
Text book image
Elementary Geometry For College Students, 7e
Geometry
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Cengage,
Text book image
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
SEE MORE TEXTBOOKS
03 - The Cartesian coordinate system; Author: Technion;https://www.youtube.com/watch?v=hOgKEplCx5E;License: Standard YouTube License, CC-BY
What is the Cartesian Coordinate System? | Don't Memorise; Author: Don't Memorise;https://www.youtube.com/watch?v=mgx0kT5UbKk;License: Standard YouTube License, CC-BY