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 2E
To determine

To State: The relationship between the measures of two vertical angles.

Expert Solution & Answer
Check Mark

Answer to Problem 2E

The measures of two vertical angles are equal.

Explanation of Solution

Vertical angles are angles that are formed opposite to each other when two lines intersect at a point.

  Pre-Algebra, Chapter 12.1, Problem 2E

In the above figure, the two lines intersect at a point to form four angles ∠1,∠2,∠3,∠4 . Among the four angles, ∠1 and ∠3 are vertical angles and their measures are equal. Similarly, ∠2 and ∠4 are vertical angles and their measures are equal too.

Therefore, it can be said that the measures of two vertical angles are equal.

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Chapter 12.1, Problem 1E
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Chapter 12.1, Problem 3E

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
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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 - 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