Geometry, Student Edition
Geometry, Student Edition
1st Edition
ISBN: 9780078884849
Author: McGraw-Hill, McGraw Hill
Publisher: Glencoe/McGraw-Hill School Pub Co
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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 5.4, Problem 46STP
To determine

The solution of the correct choice.

Expert Solution & Answer
Check Mark

Answer to Problem 46STP

The correct choice is D.

Explanation of Solution

Given information:

If ∠A≅∠B and ∠A is supplementary to ∠C then ∠B is supplementary to ∠C . Dia is proving the statement above by contradiction. She began by assuming that ∠B is not supplementary to ∠C . Which of the following definition will Dia use to reach a contradiction?

  1. Definition of congruence
  2. Definition of a linear pair
  3. Definition of right angle
  4. Definition of supplementary angles

Calculation:

By using the defination of supplementry angles, Dia can reach a contradiction. Let assumes that ∠B and ∠C are not supplementry, they can easily come to a contradiction when they substitutes ∠B in for ∠A , since they are congruent to each other.

The correct choice is D.

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Chapter 5.4, Problem 45STP
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Chapter 5.4, Problem 47STP

Chapter 5 Solutions

Geometry, Student Edition

Ch. 5.1 - Prob. 1ACYPCh. 5.1 - Prob. 1BCYPCh. 5.1 - Prob. 1CCYPCh. 5.1 - Prob. 2CYPCh. 5.1 - Prob. 3ACYPCh. 5.1 - Prob. 3BCYPCh. 5.1 - Prob. 3CCYPCh. 5.1 - Prob. 4ACYPCh. 5.1 - Prob. 4BCYPCh. 5.1 - Prob. 1CYU
Ch. 5.1 - Prob. 2CYUCh. 5.1 - Prob. 3CYUCh. 5.1 - Prob. 4CYUCh. 5.1 - Prob. 5CYUCh. 5.1 - Prob. 6CYUCh. 5.1 - Prob. 7CYUCh. 5.1 - Prob. 8CYUCh. 5.1 - Prob. 9PPSCh. 5.1 - Prob. 10PPSCh. 5.1 - Prob. 11PPSCh. 5.1 - Prob. 12PPSCh. 5.1 - Prob. 13PPSCh. 5.1 - Prob. 14PPSCh. 5.1 - Prob. 15PPSCh. 5.1 - Prob. 16PPSCh. 5.1 - Prob. 17PPSCh. 5.1 - Prob. 18PPSCh. 5.1 - Prob. 19PPSCh. 5.1 - Prob. 20PPSCh. 5.1 - Prob. 21PPSCh. 5.1 - Prob. 22PPSCh. 5.1 - Prob. 23PPSCh. 5.1 - Prob. 24PPSCh. 5.1 - Prob. 25PPSCh. 5.1 - Prob. 26PPSCh. 5.1 - Prob. 27PPSCh. 5.1 - Prob. 28PPSCh. 5.1 - Prob. 29PPSCh. 5.1 - Prob. 30PPSCh. 5.1 - Prob. 31PPSCh. 5.1 - Prob. 32PPSCh. 5.1 - Prob. 33PPSCh. 5.1 - Prob. 34PPSCh. 5.1 - Prob. 35PPSCh. 5.1 - Prob. 36PPSCh. 5.1 - Prob. 37PPSCh. 5.1 - Prob. 38PPSCh. 5.1 - Prob. 39PPSCh. 5.1 - Prob. 40PPSCh. 5.1 - Prob. 41PPSCh. 5.1 - Prob. 42PPSCh. 5.1 - Prob. 43PPSCh. 5.1 - Prob. 44PPSCh. 5.1 - Prob. 45PPSCh. 5.1 - Prob. 46PPSCh. 5.1 - Prob. 47PPSCh. 5.1 - Prob. 48HPCh. 5.1 - Prob. 49HPCh. 5.1 - Prob. 50HPCh. 5.1 - Prob. 51HPCh. 5.1 - Prob. 52HPCh. 5.1 - Prob. 53HPCh. 5.1 - Prob. 54HPCh. 5.1 - Prob. 55STPCh. 5.1 - Prob. 56STPCh. 5.1 - Prob. 57STPCh. 5.1 - Prob. 58STPCh. 5.1 - Prob. 59SPRCh. 5.1 - Prob. 60SPRCh. 5.1 - Prob. 61SPRCh. 5.1 - Prob. 62SPRCh. 5.1 - Prob. 63SPRCh. 5.1 - Prob. 64SPRCh. 5.1 - Prob. 65SPRCh. 5.1 - Prob. 66SPRCh. 5.1 - Prob. 67SPRCh. 5.1 - Prob. 68SRCh. 5.1 - Prob. 69SRCh. 5.2 - Prob. 1ACYPCh. 5.2 - Prob. 1BCYPCh. 5.2 - Prob. 2ACYPCh. 5.2 - Prob. 2BCYPCh. 5.2 - Prob. 3CYPCh. 5.2 - Prob. 4CYPCh. 5.2 - Prob. 1CYUCh. 5.2 - Prob. 2CYUCh. 5.2 - Prob. 3CYUCh. 5.2 - Prob. 4CYUCh. 5.2 - Prob. 5PPSCh. 5.2 - Prob. 6PPSCh. 5.2 - Prob. 7PPSCh. 5.2 - Prob. 8PPSCh. 5.2 - Prob. 9PPSCh. 5.2 - Prob. 10PPSCh. 5.2 - Prob. 11PPSCh. 5.2 - Prob. 12PPSCh. 5.2 - Prob. 13PPSCh. 5.2 - Prob. 14PPSCh. 5.2 - Prob. 15PPSCh. 5.2 - Prob. 16PPSCh. 5.2 - Prob. 17PPSCh. 5.2 - Prob. 18PPSCh. 5.2 - Prob. 19PPSCh. 5.2 - Prob. 20PPSCh. 5.2 - Prob. 21PPSCh. 5.2 - Prob. 22PPSCh. 5.2 - Prob. 23PPSCh. 5.2 - Prob. 24PPSCh. 5.2 - Prob. 25PPSCh. 5.2 - Prob. 26PPSCh. 5.2 - Prob. 27PPSCh. 5.2 - Prob. 28PPSCh. 5.2 - Prob. 29PPSCh. 5.2 - Prob. 30PPSCh. 5.2 - Prob. 31PPSCh. 5.2 - Prob. 32PPSCh. 5.2 - Prob. 33PPSCh. 5.2 - Prob. 34PPSCh. 5.2 - Prob. 35PPSCh. 5.2 - Prob. 36PPSCh. 5.2 - Prob. 37HPCh. 5.2 - Prob. 38HPCh. 5.2 - Prob. 39HPCh. 5.2 - Prob. 40HPCh. 5.2 - Prob. 41HPCh. 5.2 - Prob. 42HPCh. 5.2 - Prob. 43HPCh. 5.2 - Prob. 44STPCh. 5.2 - Prob. 45STPCh. 5.2 - Prob. 46STPCh. 5.2 - Prob. 47STPCh. 5.2 - Prob. 48SPRCh. 5.2 - Prob. 49SPRCh. 5.2 - Prob. 50SPRCh. 5.2 - Prob. 51SPRCh. 5.2 - Prob. 52SPRCh. 5.2 - Prob. 53SPRCh. 5.2 - Prob. 54SPRCh. 5.2 - Prob. 55SPRCh. 5.2 - Prob. 56SRCh. 5.3 - Prob. 1ACYPCh. 5.3 - Prob. 1BCYPCh. 5.3 - Prob. 2CYPCh. 5.3 - Prob. 3CYPCh. 5.3 - Prob. 4CYPCh. 5.3 - Prob. 1CYUCh. 5.3 - Prob. 2CYUCh. 5.3 - Prob. 3CYUCh. 5.3 - Prob. 4CYUCh. 5.3 - Prob. 5CYUCh. 5.3 - Prob. 6CYUCh. 5.3 - Prob. 7CYUCh. 5.3 - Prob. 8PPSCh. 5.3 - Prob. 9PPSCh. 5.3 - Prob. 10PPSCh. 5.3 - Prob. 11PPSCh. 5.3 - Prob. 12PPSCh. 5.3 - Prob. 13PPSCh. 5.3 - Prob. 14PPSCh. 5.3 - Prob. 15PPSCh. 5.3 - Prob. 16PPSCh. 5.3 - Prob. 17PPSCh. 5.3 - Prob. 18PPSCh. 5.3 - Prob. 19PPSCh. 5.3 - Prob. 20PPSCh. 5.3 - Prob. 21PPSCh. 5.3 - Prob. 22PPSCh. 5.3 - Prob. 23PPSCh. 5.3 - Prob. 24PPSCh. 5.3 - Prob. 25PPSCh. 5.3 - Prob. 26PPSCh. 5.3 - Prob. 27PPSCh. 5.3 - Prob. 28PPSCh. 5.3 - Prob. 29PPSCh. 5.3 - Prob. 30PPSCh. 5.3 - Prob. 31PPSCh. 5.3 - Prob. 32PPSCh. 5.3 - Prob. 33PPSCh. 5.3 - Prob. 34PPSCh. 5.3 - Prob. 35PPSCh. 5.3 - Prob. 36PPSCh. 5.3 - Prob. 37PPSCh. 5.3 - Prob. 38PPSCh. 5.3 - Prob. 39PPSCh. 5.3 - Prob. 40PPSCh. 5.3 - Prob. 41PPSCh. 5.3 - Prob. 42PPSCh. 5.3 - Prob. 43HPCh. 5.3 - Prob. 44HPCh. 5.3 - Prob. 45HPCh. 5.3 - Prob. 46HPCh. 5.3 - Prob. 47HPCh. 5.3 - Prob. 48HPCh. 5.3 - Prob. 49STPCh. 5.3 - Prob. 50STPCh. 5.3 - Prob. 51STPCh. 5.3 - Prob. 52STPCh. 5.3 - Prob. 53SPRCh. 5.3 - Prob. 54SPRCh. 5.3 - Prob. 55SPRCh. 5.3 - Prob. 56SPRCh. 5.3 - Prob. 57SPRCh. 5.3 - Prob. 58SPRCh. 5.3 - Prob. 59SRCh. 5.3 - Prob. 60SRCh. 5.3 - Prob. 61SRCh. 5.4 - Prob. 1ACYPCh. 5.4 - Prob. 1BCYPCh. 5.4 - Prob. 1CCYPCh. 5.4 - Prob. 2ACYPCh. 5.4 - Prob. 2BCYPCh. 5.4 - Prob. 3CYPCh. 5.4 - Prob. 4CYPCh. 5.4 - Prob. 5CYPCh. 5.4 - Prob. 1CYUCh. 5.4 - Prob. 2CYUCh. 5.4 - Prob. 3CYUCh. 5.4 - Prob. 4CYUCh. 5.4 - Prob. 5CYUCh. 5.4 - Prob. 6CYUCh. 5.4 - Prob. 7CYUCh. 5.4 - Prob. 8CYUCh. 5.4 - Prob. 9CYUCh. 5.4 - Prob. 10CYUCh. 5.4 - Prob. 11PPSCh. 5.4 - Prob. 12PPSCh. 5.4 - Prob. 13PPSCh. 5.4 - Prob. 14PPSCh. 5.4 - Prob. 15PPSCh. 5.4 - Prob. 16PPSCh. 5.4 - Prob. 17PPSCh. 5.4 - Prob. 18PPSCh. 5.4 - Prob. 19PPSCh. 5.4 - Prob. 20PPSCh. 5.4 - Prob. 21PPSCh. 5.4 - Prob. 22PPSCh. 5.4 - Prob. 23PPSCh. 5.4 - Prob. 24PPSCh. 5.4 - Prob. 25PPSCh. 5.4 - Prob. 26PPSCh. 5.4 - Prob. 27PPSCh. 5.4 - Prob. 28PPSCh. 5.4 - Prob. 29PPSCh. 5.4 - Prob. 30PPSCh. 5.4 - Prob. 31PPSCh. 5.4 - Prob. 32PPSCh. 5.4 - Prob. 33PPSCh. 5.4 - Prob. 34PPSCh. 5.4 - Prob. 35PPSCh. 5.4 - Prob. 36PPSCh. 5.4 - Prob. 37PPSCh. 5.4 - Prob. 38PPSCh. 5.4 - Prob. 39PPSCh. 5.4 - Prob. 40HPCh. 5.4 - Prob. 41HPCh. 5.4 - Prob. 42HPCh. 5.4 - Prob. 43HPCh. 5.4 - Prob. 44HPCh. 5.4 - Prob. 45STPCh. 5.4 - Prob. 46STPCh. 5.4 - Prob. 47STPCh. 5.4 - Prob. 48STPCh. 5.4 - Prob. 49SPRCh. 5.4 - Prob. 50SPRCh. 5.4 - Prob. 51SPRCh. 5.4 - Prob. 52SPRCh. 5.4 - Prob. 53SPRCh. 5.4 - Prob. 54SPRCh. 5.4 - Prob. 55SPRCh. 5.4 - Prob. 56SPRCh. 5.4 - Prob. 57SRCh. 5.4 - Prob. 58SRCh. 5.4 - Prob. 59SRCh. 5.5 - Prob. 1ACYPCh. 5.5 - Prob. 1BCYPCh. 5.5 - Prob. 2CYPCh. 5.5 - Prob. 3CYPCh. 5.5 - Prob. 1CYUCh. 5.5 - Prob. 2CYUCh. 5.5 - Prob. 3CYUCh. 5.5 - Prob. 4CYUCh. 5.5 - Prob. 5CYUCh. 5.5 - Prob. 6PPSCh. 5.5 - Prob. 7PPSCh. 5.5 - Prob. 8PPSCh. 5.5 - Prob. 9PPSCh. 5.5 - Prob. 10PPSCh. 5.5 - Prob. 11PPSCh. 5.5 - Prob. 12PPSCh. 5.5 - Prob. 13PPSCh. 5.5 - Prob. 14PPSCh. 5.5 - Prob. 15PPSCh. 5.5 - Prob. 16PPSCh. 5.5 - Prob. 17PPSCh. 5.5 - Prob. 18PPSCh. 5.5 - Prob. 19PPSCh. 5.5 - Prob. 20PPSCh. 5.5 - Prob. 21PPSCh. 5.5 - Prob. 22PPSCh. 5.5 - Prob. 23PPSCh. 5.5 - Prob. 24PPSCh. 5.5 - Prob. 25PPSCh. 5.5 - Prob. 26PPSCh. 5.5 - Prob. 27PPSCh. 5.5 - Prob. 28PPSCh. 5.5 - Prob. 29PPSCh. 5.5 - Prob. 30PPSCh. 5.5 - Prob. 31PPSCh. 5.5 - Prob. 32PPSCh. 5.5 - Prob. 33PPSCh. 5.5 - Prob. 34PPSCh. 5.5 - Prob. 35PPSCh. 5.5 - Prob. 36PPSCh. 5.5 - Prob. 37PPSCh. 5.5 - Prob. 38PPSCh. 5.5 - Prob. 39PPSCh. 5.5 - Prob. 40PPSCh. 5.5 - Prob. 41PPSCh. 5.5 - Prob. 42PPSCh. 5.5 - Prob. 43HPCh. 5.5 - Prob. 44HPCh. 5.5 - Prob. 45HPCh. 5.5 - Prob. 46HPCh. 5.5 - Prob. 47HPCh. 5.5 - Prob. 48HPCh. 5.5 - Prob. 49STPCh. 5.5 - Prob. 50STPCh. 5.5 - Prob. 51STPCh. 5.5 - Prob. 52STPCh. 5.5 - Prob. 53SPRCh. 5.5 - Prob. 54SPRCh. 5.5 - Prob. 55SPRCh. 5.5 - Prob. 56SPRCh. 5.5 - Prob. 57SPRCh. 5.5 - Prob. 58SPRCh. 5.5 - Prob. 59SPRCh. 5.5 - Prob. 60SPRCh. 5.5 - Prob. 61SRCh. 5.5 - Prob. 62SRCh. 5.5 - Prob. 63SRCh. 5.6 - Prob. 1ACYPCh. 5.6 - Prob. 1BCYPCh. 5.6 - Prob. 2ACYPCh. 5.6 - Prob. 2BCYPCh. 5.6 - Prob. 3CYPCh. 5.6 - Prob. 4CYPCh. 5.6 - Prob. 5CYPCh. 5.6 - Prob. 1CYUCh. 5.6 - Prob. 2CYUCh. 5.6 - Prob. 3CYUCh. 5.6 - Prob. 4CYUCh. 5.6 - Prob. 5CYUCh. 5.6 - Prob. 6CYUCh. 5.6 - Prob. 7CYUCh. 5.6 - Prob. 8CYUCh. 5.6 - Prob. 9CYUCh. 5.6 - Prob. 10PPSCh. 5.6 - Prob. 11PPSCh. 5.6 - Prob. 12PPSCh. 5.6 - Prob. 13PPSCh. 5.6 - Prob. 14PPSCh. 5.6 - Prob. 15PPSCh. 5.6 - Prob. 16PPSCh. 5.6 - Prob. 17PPSCh. 5.6 - Prob. 18PPSCh. 5.6 - Prob. 19PPSCh. 5.6 - Prob. 20PPSCh. 5.6 - Prob. 21PPSCh. 5.6 - Prob. 22PPSCh. 5.6 - Prob. 23PPSCh. 5.6 - Prob. 24PPSCh. 5.6 - Prob. 25PPSCh. 5.6 - Prob. 26PPSCh. 5.6 - Prob. 27PPSCh. 5.6 - Prob. 28PPSCh. 5.6 - Prob. 29PPSCh. 5.6 - Prob. 30PPSCh. 5.6 - Prob. 31PPSCh. 5.6 - Prob. 32PPSCh. 5.6 - Prob. 33PPSCh. 5.6 - Prob. 34PPSCh. 5.6 - Prob. 35PPSCh. 5.6 - Prob. 36PPSCh. 5.6 - Prob. 37PPSCh. 5.6 - Prob. 38HPCh. 5.6 - Prob. 39HPCh. 5.6 - Prob. 40HPCh. 5.6 - Prob. 41HPCh. 5.6 - Prob. 42HPCh. 5.6 - Prob. 43STPCh. 5.6 - Prob. 44STPCh. 5.6 - Prob. 45STPCh. 5.6 - Prob. 46STPCh. 5.6 - Prob. 47SPRCh. 5.6 - Prob. 48SPRCh. 5.6 - Prob. 49SPRCh. 5.6 - Prob. 50SPRCh. 5.6 - Prob. 51SPRCh. 5.6 - Prob. 52SPRCh. 5.6 - Prob. 53SPRCh. 5.6 - Prob. 54SPRCh. 5.6 - Prob. 55SPRCh. 5.6 - Prob. 56SRCh. 5.6 - Prob. 57SRCh. 5.6 - Prob. 58SRCh. 5 - Prob. 1GRFCCh. 5 - Prob. 2GRFCCh. 5 - Prob. 3GRFCCh. 5 - Prob. 4GRFCCh. 5 - Prob. 5GRFCCh. 5 - Prob. 6GRFCCh. 5 - Prob. 7GRFCCh. 5 - Prob. 8GRFCCh. 5 - Prob. 9GRFCCh. 5 - Prob. 10GRFCCh. 5 - Prob. 11GRFCCh. 5 - Prob. 12GRFCCh. 5 - Prob. 1MCQCh. 5 - Prob. 2MCQCh. 5 - Prob. 3MCQCh. 5 - Prob. 4MCQCh. 5 - Prob. 5MCQCh. 5 - Prob. 6MCQCh. 5 - Prob. 7MCQCh. 5 - Prob. 8MCQCh. 5 - Prob. 9MCQCh. 5 - Prob. 10MCQCh. 5 - Prob. 11MCQCh. 5 - Prob. 12MCQCh. 5 - Prob. 13MCQCh. 5 - Prob. 14MCQCh. 5 - Prob. 15MCQCh. 5 - Prob. 16MCQCh. 5 - Prob. 17MCQCh. 5 - Prob. 18MCQCh. 5 - Prob. 19MCQCh. 5 - Prob. 1SGRCh. 5 - Prob. 2SGRCh. 5 - Prob. 3SGRCh. 5 - Prob. 4SGRCh. 5 - Prob. 5SGRCh. 5 - Prob. 6SGRCh. 5 - Prob. 7SGRCh. 5 - Prob. 8SGRCh. 5 - Prob. 9SGRCh. 5 - Prob. 10SGRCh. 5 - Prob. 11SGRCh. 5 - Prob. 12SGRCh. 5 - Prob. 13SGRCh. 5 - Prob. 14SGRCh. 5 - Prob. 15SGRCh. 5 - Prob. 16SGRCh. 5 - Prob. 17SGRCh. 5 - Prob. 18SGRCh. 5 - Prob. 19SGRCh. 5 - Prob. 20SGRCh. 5 - Prob. 21SGRCh. 5 - Prob. 22SGRCh. 5 - Prob. 23SGRCh. 5 - Prob. 24SGRCh. 5 - Prob. 25SGRCh. 5 - Prob. 26SGRCh. 5 - Prob. 27SGRCh. 5 - Prob. 28SGRCh. 5 - Prob. 29SGRCh. 5 - Prob. 30SGRCh. 5 - Prob. 31SGRCh. 5 - Prob. 32SGRCh. 5 - Prob. 33SGRCh. 5 - Prob. 1PTCh. 5 - Prob. 2PTCh. 5 - Prob. 3PTCh. 5 - Prob. 4PTCh. 5 - Prob. 5PTCh. 5 - Prob. 6PTCh. 5 - Prob. 7PTCh. 5 - Prob. 8PTCh. 5 - Prob. 9PTCh. 5 - Prob. 10PTCh. 5 - Prob. 11PTCh. 5 - Prob. 12PTCh. 5 - Prob. 13PTCh. 5 - Prob. 14PTCh. 5 - Prob. 15PTCh. 5 - Prob. 16PTCh. 5 - Prob. 17PTCh. 5 - Prob. 18PTCh. 5 - Prob. 19PTCh. 5 - Prob. 20PTCh. 5 - Prob. 21PTCh. 5 - Prob. 22PTCh. 5 - Prob. 23PTCh. 5 - Prob. 24PTCh. 5 - Prob. 25PTCh. 5 - Prob. 1ECh. 5 - Prob. 2ECh. 5 - Prob. 3ECh. 5 - Prob. 4ECh. 5 - Prob. 5ECh. 5 - Prob. 1STPCh. 5 - Prob. 2STPCh. 5 - Prob. 3STPCh. 5 - Prob. 4STPCh. 5 - Prob. 5STPCh. 5 - Prob. 6STPCh. 5 - Prob. 7STPCh. 5 - Prob. 8STPCh. 5 - Prob. 9STPCh. 5 - Prob. 10STPCh. 5 - Prob. 11STPCh. 5 - Prob. 12STPCh. 5 - Prob. 13STPCh. 5 - Prob. 14STPCh. 5 - Prob. 15STP

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