Pre-Algebra
Pre-Algebra
1st Edition
ISBN: 9780618800766
Author: Ron Larson, Lee Stiff, Laurie Boswell, Timothy Kanold
Publisher: Houghton Mifflin-High School
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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.
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Question
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Chapter 12.1, Problem 25E
To determine

To find:Number pairs of vertical angles are formed when two lines intersect at one point.

Expert Solution & Answer
Check Mark

Answer to Problem 25E

Two pairs of vertical angles are formed.

Explanation of Solution

Given information: Two lines intersect at one point.

Two angles are called a pair of vertically opposite angles, if their arm forms two pairs of opposite rays. For example, let two lines AB and CD intersect at O, then ∠AOD and ∠COB form a pair of vertically opposite angles and ∠AOC and ∠BOD form another pair of vertically opposite angles.

Thus, when two lines intersect at one point, two pairs of vertically opposite angles are formed.

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Chapter 12.1, Problem 24E
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Chapter 12.1, Problem 26E

Chapter 12 Solutions

Pre-Algebra

Ch. 12.1 - Prob. 1CCh. 12.1 - Prob. 2CCh. 12.1 - Prob. 3CCh. 12.1 - Prob. 4CCh. 12.1 - Prob. 5CCh. 12.1 - Prob. 6CCh. 12.1 - Prob. 1ECh. 12.1 - Prob. 2ECh. 12.1 - Prob. 3ECh. 12.1 - Prob. 4E
Ch. 12.1 - Prob. 5ECh. 12.1 - Prob. 6ECh. 12.1 - Prob. 7ECh. 12.1 - Prob. 8ECh. 12.1 - Prob. 9ECh. 12.1 - Prob. 10ECh. 12.1 - Prob. 11ECh. 12.1 - Prob. 12ECh. 12.1 - Prob. 13ECh. 12.1 - Prob. 14ECh. 12.1 - Prob. 15ECh. 12.1 - Prob. 16ECh. 12.1 - Prob. 17ECh. 12.1 - Prob. 18ECh. 12.1 - Prob. 19ECh. 12.1 - Prob. 20ECh. 12.1 - Prob. 21ECh. 12.1 - Prob. 22ECh. 12.1 - Prob. 23ECh. 12.1 - Prob. 24ECh. 12.1 - Prob. 25ECh. 12.1 - Prob. 26ECh. 12.1 - Prob. 27ECh. 12.1 - Prob. 28ECh. 12.1 - Prob. 29ECh. 12.1 - Prob. 30ECh. 12.1 - Prob. 31ECh. 12.1 - Prob. 32ECh. 12.1 - Prob. 33ECh. 12.1 - Prob. 34ECh. 12.1 - Prob. 35ECh. 12.1 - Prob. 36ECh. 12.1 - Prob. 37ECh. 12.1 - Prob. 38ECh. 12.1 - Prob. 39ECh. 12.1 - Prob. 40ECh. 12.1 - Prob. 41ECh. 12.1 - Prob. 42ECh. 12.1 - Prob. 43ECh. 12.1 - Prob. 44ECh. 12.1 - Prob. 45ECh. 12.1 - Prob. 46ECh. 12.2 - Prob. 1CCh. 12.2 - Prob. 2CCh. 12.2 - Prob. 3CCh. 12.2 - Prob. 4CCh. 12.2 - Prob. 5CCh. 12.2 - Prob. 6CCh. 12.2 - Prob. 1ECh. 12.2 - Prob. 2ECh. 12.2 - Prob. 3ECh. 12.2 - Prob. 4ECh. 12.2 - Prob. 5ECh. 12.2 - Prob. 6ECh. 12.2 - Prob. 7ECh. 12.2 - Prob. 8ECh. 12.2 - Prob. 9ECh. 12.2 - Prob. 10ECh. 12.2 - Prob. 11ECh. 12.2 - Prob. 12ECh. 12.2 - Prob. 13ECh. 12.2 - Prob. 14ECh. 12.2 - Prob. 15ECh. 12.2 - Prob. 16ECh. 12.2 - Prob. 17ECh. 12.2 - Prob. 18ECh. 12.2 - Prob. 19ECh. 12.2 - Prob. 20ECh. 12.2 - Prob. 21ECh. 12.2 - Prob. 22ECh. 12.2 - Prob. 23ECh. 12.2 - Prob. 24ECh. 12.2 - Prob. 25ECh. 12.2 - Prob. 26ECh. 12.2 - Prob. 27ECh. 12.2 - Prob. 28ECh. 12.2 - Prob. 29ECh. 12.2 - Prob. 30ECh. 12.2 - Prob. 31ECh. 12.2 - Prob. 32ECh. 12.2 - Prob. 33ECh. 12.3 - Prob. 1CCh. 12.3 - Prob. 2CCh. 12.3 - Prob. 3CCh. 12.3 - Prob. 4CCh. 12.3 - Prob. 5CCh. 12.3 - Prob. 1ECh. 12.3 - Prob. 2ECh. 12.3 - Prob. 3ECh. 12.3 - Prob. 4ECh. 12.3 - Prob. 5ECh. 12.3 - Prob. 6ECh. 12.3 - Prob. 7ECh. 12.3 - Prob. 8ECh. 12.3 - Prob. 9ECh. 12.3 - Prob. 10ECh. 12.3 - Prob. 11ECh. 12.3 - Prob. 12ECh. 12.3 - Prob. 13ECh. 12.3 - Prob. 14ECh. 12.3 - Prob. 15ECh. 12.3 - Prob. 16ECh. 12.3 - Prob. 17ECh. 12.3 - Prob. 18ECh. 12.3 - Prob. 19ECh. 12.3 - Prob. 20ECh. 12.3 - Prob. 21ECh. 12.3 - Prob. 22ECh. 12.3 - Prob. 23ECh. 12.3 - Prob. 24ECh. 12.3 - Prob. 25ECh. 12.3 - Prob. 26ECh. 12.3 - Prob. 27ECh. 12.3 - Prob. 28ECh. 12.3 - Prob. 29ECh. 12.3 - Prob. 30ECh. 12.3 - Prob. 31ECh. 12.3 - Prob. 32ECh. 12.3 - Prob. 33ECh. 12.3 - Prob. 34ECh. 12.3 - Prob. 35ECh. 12.3 - Prob. 36ECh. 12.3 - Prob. 37ECh. 12.3 - Prob. 38ECh. 12.3 - Prob. 39ECh. 12.3 - Prob. 40ECh. 12.3 - Prob. 41ECh. 12.3 - Prob. 42ECh. 12.3 - Prob. 43ECh. 12.3 - Prob. 44ECh. 12.3 - Prob. 45ECh. 12.3 - Prob. 46ECh. 12.3 - Prob. 47ECh. 12.3 - Prob. 48ECh. 12.3 - Prob. 49ECh. 12.4 - Prob. 1CCh. 12.4 - Prob. 2CCh. 12.4 - Prob. 3CCh. 12.4 - Prob. 4CCh. 12.4 - Prob. 1ECh. 12.4 - Prob. 2ECh. 12.4 - Prob. 3ECh. 12.4 - Prob. 4ECh. 12.4 - Prob. 5ECh. 12.4 - Prob. 6ECh. 12.4 - Prob. 7ECh. 12.4 - Prob. 8ECh. 12.4 - Prob. 9ECh. 12.4 - Prob. 10ECh. 12.4 - Prob. 11ECh. 12.4 - Prob. 12ECh. 12.4 - Prob. 13ECh. 12.4 - Prob. 14ECh. 12.4 - Prob. 15ECh. 12.4 - Prob. 16ECh. 12.4 - Prob. 17ECh. 12.4 - Prob. 18ECh. 12.4 - Prob. 19ECh. 12.4 - Prob. 20ECh. 12.4 - Prob. 21ECh. 12.4 - Prob. 22ECh. 12.4 - Prob. 23ECh. 12.4 - Prob. 24ECh. 12.4 - Prob. 25ECh. 12.4 - Prob. 26ECh. 12.4 - Prob. 27ECh. 12.4 - Prob. 28ECh. 12.4 - Prob. 29ECh. 12.4 - Prob. 30ECh. 12.4 - Prob. 31ECh. 12.4 - Prob. 32ECh. 12.5 - Prob. 1CCh. 12.5 - Prob. 2CCh. 12.5 - Prob. 3CCh. 12.5 - Prob. 4CCh. 12.5 - Prob. 1ECh. 12.5 - Prob. 2ECh. 12.5 - Prob. 3ECh. 12.5 - Prob. 4ECh. 12.5 - Prob. 5ECh. 12.5 - Prob. 6ECh. 12.5 - Prob. 7ECh. 12.5 - Prob. 8ECh. 12.5 - Prob. 9ECh. 12.5 - Prob. 10ECh. 12.5 - Prob. 11ECh. 12.5 - Prob. 12ECh. 12.5 - Prob. 13ECh. 12.5 - Prob. 14ECh. 12.5 - Prob. 15ECh. 12.5 - Prob. 16ECh. 12.5 - Prob. 17ECh. 12.5 - Prob. 18ECh. 12.5 - Prob. 19ECh. 12.5 - Prob. 20ECh. 12.5 - Prob. 21ECh. 12.5 - Prob. 22ECh. 12.5 - Prob. 23ECh. 12.5 - Prob. 24ECh. 12.5 - Prob. 25ECh. 12.5 - Prob. 26ECh. 12.5 - Prob. 27ECh. 12.5 - Prob. 28ECh. 12.5 - Prob. 29ECh. 12.5 - Prob. 30ECh. 12.5 - Prob. 31ECh. 12.5 - Prob. 32ECh. 12.5 - Prob. 33ECh. 12.5 - Prob. 34ECh. 12.5 - Prob. 35ECh. 12.5 - Prob. 36ECh. 12.5 - Prob. 37ECh. 12.6 - Prob. 1CCh. 12.6 - Prob. 2CCh. 12.6 - Prob. 3CCh. 12.6 - Prob. 4CCh. 12.6 - Prob. 1ECh. 12.6 - Prob. 2ECh. 12.6 - Prob. 3ECh. 12.6 - Prob. 4ECh. 12.6 - Prob. 5ECh. 12.6 - Prob. 6ECh. 12.6 - Prob. 7ECh. 12.6 - Prob. 8ECh. 12.6 - Prob. 9ECh. 12.6 - Prob. 10ECh. 12.6 - Prob. 11ECh. 12.6 - Prob. 12ECh. 12.6 - Prob. 13ECh. 12.6 - Prob. 14ECh. 12.6 - Prob. 15ECh. 12.6 - Prob. 16ECh. 12.6 - Prob. 17ECh. 12.6 - Prob. 18ECh. 12.6 - Prob. 19ECh. 12.6 - Prob. 20ECh. 12.6 - Prob. 21ECh. 12.6 - Prob. 22ECh. 12.6 - Prob. 23ECh. 12.6 - Prob. 24ECh. 12.6 - Prob. 25ECh. 12.6 - Prob. 26ECh. 12.6 - Prob. 27ECh. 12.6 - Prob. 28ECh. 12.6 - Prob. 29ECh. 12.6 - Prob. 30ECh. 12.6 - Prob. 31ECh. 12.6 - Prob. 32ECh. 12.7 - Prob. 1CCh. 12.7 - Prob. 2CCh. 12.7 - Prob. 3CCh. 12.7 - Prob. 1ECh. 12.7 - Prob. 2ECh. 12.7 - Prob. 3ECh. 12.7 - Prob. 4ECh. 12.7 - Prob. 5ECh. 12.7 - Prob. 6ECh. 12.7 - Prob. 7ECh. 12.7 - Prob. 8ECh. 12.7 - Prob. 9ECh. 12.7 - Prob. 10ECh. 12.7 - Prob. 11ECh. 12.7 - Prob. 12ECh. 12.7 - Prob. 13ECh. 12.7 - Prob. 14ECh. 12.7 - Prob. 15ECh. 12.7 - Prob. 16ECh. 12.7 - Prob. 17ECh. 12.7 - Prob. 18ECh. 12.7 - Prob. 19ECh. 12.7 - Prob. 20ECh. 12.7 - Prob. 21ECh. 12.7 - Prob. 22ECh. 12.7 - Prob. 23ECh. 12.7 - Prob. 24ECh. 12.7 - Prob. 25ECh. 12.7 - Prob. 26ECh. 12.7 - Prob. 27ECh. 12.7 - Prob. 28ECh. 12 - Prob. 1PSQCh. 12 - Prob. 2PSQCh. 12 - Prob. 3PSQCh. 12 - Prob. 4PSQCh. 12 - Prob. 5PSQCh. 12 - Prob. 6PSQCh. 12 - Prob. 7PSQCh. 12 - Prob. 8PSQCh. 12 - Prob. 9PSQCh. 12 - Prob. 10PSQCh. 12 - Prob. 1MCQCh. 12 - Prob. 2MCQCh. 12 - Prob. 3MCQCh. 12 - Prob. 4MCQCh. 12 - Prob. 5MCQCh. 12 - Prob. 6MCQCh. 12 - Prob. 7MCQCh. 12 - Prob. 8MCQCh. 12 - Prob. 9MCQCh. 12 - Prob. 10MCQCh. 12 - Prob. 11MCQCh. 12 - Prob. 12MCQCh. 12 - Prob. 13MCQCh. 12 - Prob. 14MCQCh. 12 - Prob. 15MCQCh. 12 - Prob. 1CRCh. 12 - Prob. 2CRCh. 12 - Prob. 3CRCh. 12 - Prob. 4CRCh. 12 - Prob. 5CRCh. 12 - Prob. 6CRCh. 12 - Prob. 7CRCh. 12 - Prob. 8CRCh. 12 - Prob. 9CRCh. 12 - Prob. 10CRCh. 12 - Prob. 11CRCh. 12 - Prob. 12CRCh. 12 - Prob. 13CRCh. 12 - Prob. 14CRCh. 12 - Prob. 15CRCh. 12 - Prob. 16CRCh. 12 - Prob. 17CRCh. 12 - Prob. 18CRCh. 12 - Prob. 19CRCh. 12 - Prob. 20CRCh. 12 - Prob. 21CRCh. 12 - Prob. 22CRCh. 12 - Prob. 23CRCh. 12 - Prob. 24CRCh. 12 - Prob. 25CRCh. 12 - Prob. 26CRCh. 12 - Prob. 27CRCh. 12 - Prob. 28CRCh. 12 - Prob. 29CRCh. 12 - Prob. 1CTCh. 12 - Prob. 2CTCh. 12 - Prob. 3CTCh. 12 - Prob. 4CTCh. 12 - Prob. 5CTCh. 12 - Prob. 6CTCh. 12 - Prob. 7CTCh. 12 - Prob. 8CTCh. 12 - Prob. 9CTCh. 12 - Prob. 10CTCh. 12 - Prob. 11CTCh. 12 - Prob. 12CTCh. 12 - Prob. 13CTCh. 12 - Prob. 14CTCh. 12 - Prob. 15CTCh. 12 - Prob. 16CTCh. 12 - Prob. 17CTCh. 12 - Prob. 18CTCh. 12 - Prob. 19CTCh. 12 - Prob. 20CTCh. 12 - Prob. 1CSTCh. 12 - Prob. 2CSTCh. 12 - Prob. 3CSTCh. 12 - Prob. 4CSTCh. 12 - Prob. 5CSTCh. 12 - Prob. 6CSTCh. 12 - Prob. 8CSTCh. 12 - Prob. 9CSTCh. 12 - Prob. 10CSTCh. 12 - Prob. 11CSTCh. 12 - Prob. 1PTTSCh. 12 - Prob. 2PTTSCh. 12 - Prob. 3PTTSCh. 12 - Prob. 4PTTSCh. 12 - Prob. 5PTTSCh. 12 - Prob. 6PTTSCh. 12 - Prob. 7PTTSCh. 12 - Prob. 8PTTSCh. 12 - Prob. 9PTTSCh. 12 - Prob. 10PTTSCh. 12 - Prob. 11PTTSCh. 12 - Prob. 12PTTSCh. 12 - Prob. 13PTTSCh. 12 - Prob. 14PTTSCh. 12 - Prob. 15PTTSCh. 12 - Prob. 16PTTSCh. 12 - Prob. 17PTTSCh. 12 - Prob. 18PTTSCh. 12 - Prob. 19PTTSCh. 12 - Prob. 1CPCh. 12 - Prob. 2CPCh. 12 - Prob. 3CPCh. 12 - Prob. 4CPCh. 12 - Prob. 5CPCh. 12 - Prob. 6CPCh. 12 - Prob. 7CPCh. 12 - Prob. 8CPCh. 12 - Prob. 9CPCh. 12 - Prob. 10CPCh. 12 - Prob. 11CPCh. 12 - Prob. 12CPCh. 12 - Prob. 13CPCh. 12 - Prob. 14CPCh. 12 - Prob. 15CPCh. 12 - Prob. 16CPCh. 12 - Prob. 17CPCh. 12 - Prob. 18CPCh. 12 - Prob. 19CPCh. 12 - Prob. 1CURCh. 12 - Prob. 2CURCh. 12 - Prob. 3CURCh. 12 - Prob. 4CURCh. 12 - Prob. 5CURCh. 12 - Prob. 6CURCh. 12 - Prob. 7CURCh. 12 - Prob. 8CURCh. 12 - Prob. 9CURCh. 12 - Prob. 10CURCh. 12 - Prob. 11CURCh. 12 - Prob. 12CURCh. 12 - Prob. 13CURCh. 12 - Prob. 14CURCh. 12 - Prob. 15CURCh. 12 - Prob. 16CURCh. 12 - Prob. 17CURCh. 12 - Prob. 18CURCh. 12 - Prob. 19CURCh. 12 - Prob. 20CURCh. 12 - Prob. 21CURCh. 12 - Prob. 22CURCh. 12 - Prob. 23CURCh. 12 - Prob. 24CURCh. 12 - Prob. 25CURCh. 12 - Prob. 26CURCh. 12 - Prob. 27CURCh. 12 - Prob. 28CURCh. 12 - Prob. 29CURCh. 12 - Prob. 30CURCh. 12 - Prob. 31CURCh. 12 - Prob. 32CURCh. 12 - Prob. 33CURCh. 12 - Prob. 34CURCh. 12 - Prob. 35CURCh. 12 - Prob. 36CURCh. 12 - Prob. 37CURCh. 12 - Prob. 38CURCh. 12 - Prob. 39CURCh. 12 - Prob. 40CURCh. 12 - Prob. 41CURCh. 12 - Prob. 42CURCh. 12 - Prob. 43CURCh. 12 - Prob. 44CURCh. 12 - Prob. 45CURCh. 12 - Prob. 46CURCh. 12 - Prob. 47CURCh. 12 - Prob. 48CURCh. 12 - Prob. 49CURCh. 12 - Prob. 50CURCh. 12 - Prob. 51CURCh. 12 - Prob. 52CURCh. 12 - Prob. 53CURCh. 12 - Prob. 54CURCh. 12 - Prob. 55CURCh. 12 - Prob. 56CURCh. 12 - Prob. 57CURCh. 12 - Prob. 58CURCh. 12 - Prob. 59CURCh. 12 - Prob. 60CURCh. 12 - Prob. 61CURCh. 12 - Prob. 62CURCh. 12 - Prob. 63CURCh. 12 - Prob. 64CURCh. 12 - Prob. 65CURCh. 12 - Prob. 66CURCh. 12 - Prob. 67CURCh. 12 - Prob. 68CURCh. 12 - Prob. 69CURCh. 12 - Prob. 70CURCh. 12 - Prob. 71CURCh. 12 - Prob. 72CURCh. 12 - Prob. 73CURCh. 12 - Prob. 74CURCh. 12 - Prob. 75CURCh. 12 - Prob. 76CURCh. 12 - Prob. 77CURCh. 12 - Prob. 78CURCh. 12 - Prob. 79CURCh. 12 - Prob. 80CURCh. 12 - Prob. 81CURCh. 12 - Prob. 82CURCh. 12 - Prob. 83CURCh. 12 - Prob. 84CURCh. 12 - Prob. 85CURCh. 12 - Prob. 86CURCh. 12 - Prob. 87CURCh. 12 - Prob. 88CURCh. 12 - Prob. 89CURCh. 12 - Prob. 90CURCh. 12 - Prob. 91CURCh. 12 - Prob. 92CURCh. 12 - Prob. 93CURCh. 12 - Prob. 94CURCh. 12 - Prob. 95CURCh. 12 - Prob. 96CURCh. 12 - Prob. 97CURCh. 12 - Prob. 98CURCh. 12 - Prob. 99CURCh. 12 - Prob. 100CURCh. 12 - Prob. 101CURCh. 12 - Prob. 102CURCh. 12 - Prob. 103CURCh. 12 - Prob. 104CURCh. 12 - Prob. 105CURCh. 12 - Prob. 106CURCh. 12 - Prob. 107CURCh. 12 - Prob. 108CURCh. 12 - Prob. 109CURCh. 12 - Prob. 110CURCh. 12 - Prob. 111CURCh. 12 - Prob. 112CURCh. 12 - Prob. 113CURCh. 12 - Prob. 114CURCh. 12 - Prob. 115CURCh. 12 - Prob. 116CURCh. 12 - Prob. 117CURCh. 12 - Prob. 118CURCh. 12 - Prob. 119CURCh. 12 - Prob. 120CURCh. 12 - Prob. 121CURCh. 12 - Prob. 122CURCh. 12 - Prob. 123CURCh. 12 - Prob. 124CURCh. 12 - Prob. 125CURCh. 12 - Prob. 126CURCh. 12 - Prob. 127CURCh. 12 - Prob. 128CURCh. 12 - Prob. 129CURCh. 12 - Prob. 130CURCh. 12 - Prob. 131CURCh. 12 - Prob. 132CURCh. 12 - Prob. 133CURCh. 12 - Prob. 134CURCh. 12 - Prob. 135CUR

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