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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Chapter 3, Problem 19MCQ
To determine

Find the slope of a line perpendicular to n.

Expert Solution & Answer
Check Mark

Answer to Problem 19MCQ

Slope of a line perpendicular to n is 45 .

Explanation of Solution

Given :

  Geometry, Student Edition, Chapter 3, Problem 19MCQ

Formula Used:

  • Slope of a line passing through points (x1,y1) and (x2,y2) is m=y2−y1x2−x1
  • Product of slopes of two perpendicular lines is -1.

Calculation :

Slope of line n which passes through points (10,-4) and (2,6):

  m1=y2−y1x2−x1=6−(−4)2−10=10−8=−54

If slope of a line perpendicular to n is m2

Then

  m1⋅m2=−1⇒(−54)m2=−1⇒m2=45

So, the slope of a line perpendicular to n is 45 .

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Chapter 3, Problem 18MCQ
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Chapter 3, Problem 20MCQ

Chapter 3 Solutions

Geometry, Student Edition

Ch. 3.1 - Prob. 1ACYPCh. 3.1 - Prob. 1BCYPCh. 3.1 - Prob. 1CCYPCh. 3.1 - Prob. 2ACYPCh. 3.1 - Prob. 2BCYPCh. 3.1 - Prob. 2CCYPCh. 3.1 - Prob. 2DCYPCh. 3.1 - Prob. 3ACYPCh. 3.1 - Prob. 3BCYPCh. 3.1 - Prob. 3CCYP
Ch. 3.1 - Prob. 3DCYPCh. 3.1 - Prob. 1CYUCh. 3.1 - Prob. 2CYUCh. 3.1 - Prob. 3CYUCh. 3.1 - Prob. 4CYUCh. 3.1 - Prob. 5CYUCh. 3.1 - Prob. 6CYUCh. 3.1 - Prob. 7CYUCh. 3.1 - Prob. 8CYUCh. 3.1 - Prob. 9CYUCh. 3.1 - Prob. 10CYUCh. 3.1 - Prob. 11CYUCh. 3.1 - Prob. 12CYUCh. 3.1 - Prob. 13PPSCh. 3.1 - Prob. 14PPSCh. 3.1 - Prob. 15PPSCh. 3.1 - Prob. 16PPSCh. 3.1 - Prob. 17PPSCh. 3.1 - Prob. 18PPSCh. 3.1 - Prob. 19PPSCh. 3.1 - Prob. 20PPSCh. 3.1 - Prob. 21PPSCh. 3.1 - Prob. 22PPSCh. 3.1 - Prob. 23PPSCh. 3.1 - Prob. 24PPSCh. 3.1 - Prob. 25PPSCh. 3.1 - Prob. 26PPSCh. 3.1 - Prob. 27PPSCh. 3.1 - Prob. 28PPSCh. 3.1 - Prob. 29PPSCh. 3.1 - Prob. 30PPSCh. 3.1 - Prob. 31PPSCh. 3.1 - Prob. 32PPSCh. 3.1 - Prob. 33PPSCh. 3.1 - Prob. 34PPSCh. 3.1 - Prob. 35PPSCh. 3.1 - Prob. 36PPSCh. 3.1 - Prob. 37PPSCh. 3.1 - Prob. 38PPSCh. 3.1 - Prob. 39PPSCh. 3.1 - Prob. 40PPSCh. 3.1 - Prob. 41PPSCh. 3.1 - Prob. 42PPSCh. 3.1 - Prob. 43PPSCh. 3.1 - Prob. 44PPSCh. 3.1 - Prob. 45PPSCh. 3.1 - Prob. 46HPCh. 3.1 - Prob. 47HPCh. 3.1 - Prob. 48HPCh. 3.1 - Prob. 49HPCh. 3.1 - Prob. 50HPCh. 3.1 - Prob. 51STPCh. 3.1 - Prob. 52STPCh. 3.1 - Prob. 53STPCh. 3.1 - Prob. 54STPCh. 3.1 - Prob. 55SPRCh. 3.1 - Prob. 56SPRCh. 3.1 - Prob. 57SPRCh. 3.1 - Prob. 58SPRCh. 3.1 - Prob. 59SPRCh. 3.1 - Prob. 60SPRCh. 3.1 - Prob. 61SRCh. 3.1 - Prob. 62SRCh. 3.1 - Prob. 63SRCh. 3.2 - Prob. 1ACYPCh. 3.2 - Prob. 1BCYPCh. 3.2 - Prob. 1CCYPCh. 3.2 - Prob. 2ACYPCh. 3.2 - Prob. 2BCYPCh. 3.2 - Prob. 3ACYPCh. 3.2 - Prob. 3BCYPCh. 3.2 - Prob. 1CYUCh. 3.2 - Prob. 2CYUCh. 3.2 - Prob. 3CYUCh. 3.2 - Prob. 4CYUCh. 3.2 - Prob. 5CYUCh. 3.2 - Prob. 6CYUCh. 3.2 - Prob. 7CYUCh. 3.2 - Prob. 8CYUCh. 3.2 - Prob. 9CYUCh. 3.2 - Prob. 10CYUCh. 3.2 - Prob. 11PPSCh. 3.2 - Prob. 12PPSCh. 3.2 - Prob. 13PPSCh. 3.2 - Prob. 14PPSCh. 3.2 - Prob. 15PPSCh. 3.2 - Prob. 16PPSCh. 3.2 - Prob. 17PPSCh. 3.2 - Prob. 18PPSCh. 3.2 - Prob. 19PPSCh. 3.2 - Prob. 20PPSCh. 3.2 - Prob. 21PPSCh. 3.2 - Prob. 22PPSCh. 3.2 - Prob. 23PPSCh. 3.2 - Prob. 24PPSCh. 3.2 - Prob. 25PPSCh. 3.2 - Prob. 26PPSCh. 3.2 - 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Prob. 71SRCh. 3.4 - Prob. 72SRCh. 3.4 - Prob. 73SRCh. 3.5 - Prob. 1ACYPCh. 3.5 - Prob. 1BCYPCh. 3.5 - Prob. 1CCYPCh. 3.5 - Prob. 1DCYPCh. 3.5 - Prob. 1ECYPCh. 3.5 - Prob. 1FCYPCh. 3.5 - Prob. 2CYPCh. 3.5 - Prob. 3CYPCh. 3.5 - Prob. 1CYUCh. 3.5 - Prob. 2CYUCh. 3.5 - Prob. 3CYUCh. 3.5 - Prob. 4CYUCh. 3.5 - Prob. 5CYUCh. 3.5 - Prob. 6CYUCh. 3.5 - Prob. 7CYUCh. 3.5 - Prob. 8PPSCh. 3.5 - Prob. 9PPSCh. 3.5 - Prob. 10PPSCh. 3.5 - Prob. 11PPSCh. 3.5 - Prob. 12PPSCh. 3.5 - Prob. 13PPSCh. 3.5 - Prob. 14PPSCh. 3.5 - Prob. 15PPSCh. 3.5 - Prob. 16PPSCh. 3.5 - Prob. 17PPSCh. 3.5 - Prob. 18PPSCh. 3.5 - Prob. 19PPSCh. 3.5 - Prob. 20PPSCh. 3.5 - Prob. 21PPSCh. 3.5 - Prob. 22PPSCh. 3.5 - Prob. 23PPSCh. 3.5 - Prob. 24PPSCh. 3.5 - Prob. 25PPSCh. 3.5 - Prob. 26PPSCh. 3.5 - Prob. 27PPSCh. 3.5 - Prob. 28PPSCh. 3.5 - Prob. 29PPSCh. 3.5 - Prob. 30PPSCh. 3.5 - Prob. 31PPSCh. 3.5 - Prob. 32PPSCh. 3.5 - Prob. 33PPSCh. 3.5 - Prob. 34PPSCh. 3.5 - Prob. 35PPSCh. 3.5 - Prob. 36PPSCh. 3.5 - Prob. 37HPCh. 3.5 - Prob. 38HPCh. 3.5 - Prob. 39HPCh. 3.5 - Prob. 40HPCh. 3.5 - Prob. 41HPCh. 3.5 - Prob. 42HPCh. 3.5 - Prob. 43HPCh. 3.5 - Prob. 44STPCh. 3.5 - Prob. 45STPCh. 3.5 - Prob. 46STPCh. 3.5 - Prob. 47STPCh. 3.5 - Prob. 48SPRCh. 3.5 - Prob. 49SPRCh. 3.5 - Prob. 50SPRCh. 3.5 - Prob. 51SPRCh. 3.5 - Prob. 52SPRCh. 3.5 - Prob. 53SPRCh. 3.5 - Prob. 54SPRCh. 3.5 - Prob. 55SPRCh. 3.5 - Prob. 56SPRCh. 3.5 - Prob. 57SRCh. 3.6 - Prob. 1CYPCh. 3.6 - Prob. 2CYPCh. 3.6 - Prob. 3ACYPCh. 3.6 - Prob. 3BCYPCh. 3.6 - Prob. 1CYUCh. 3.6 - Prob. 2CYUCh. 3.6 - Prob. 3CYUCh. 3.6 - Prob. 4CYUCh. 3.6 - Prob. 5CYUCh. 3.6 - Prob. 6CYUCh. 3.6 - Prob. 7CYUCh. 3.6 - Prob. 8CYUCh. 3.6 - Prob. 9PPSCh. 3.6 - Prob. 10PPSCh. 3.6 - Prob. 11PPSCh. 3.6 - Prob. 12PPSCh. 3.6 - Prob. 13PPSCh. 3.6 - Prob. 14PPSCh. 3.6 - Prob. 15PPSCh. 3.6 - Prob. 16PPSCh. 3.6 - Prob. 17PPSCh. 3.6 - Prob. 18PPSCh. 3.6 - Prob. 19PPSCh. 3.6 - Prob. 20PPSCh. 3.6 - Prob. 21PPSCh. 3.6 - Prob. 22PPSCh. 3.6 - Prob. 23PPSCh. 3.6 - Prob. 24PPSCh. 3.6 - Prob. 25PPSCh. 3.6 - Prob. 26PPSCh. 3.6 - Prob. 27PPSCh. 3.6 - Prob. 28PPSCh. 3.6 - Prob. 29PPSCh. 3.6 - Prob. 30PPSCh. 3.6 - Prob. 31PPSCh. 3.6 - Prob. 32PPSCh. 3.6 - Prob. 33PPSCh. 3.6 - Prob. 34PPSCh. 3.6 - Prob. 35PPSCh. 3.6 - Prob. 36PPSCh. 3.6 - Prob. 37PPSCh. 3.6 - Prob. 38PPSCh. 3.6 - Prob. 39PPSCh. 3.6 - Prob. 40PPSCh. 3.6 - Prob. 41HPCh. 3.6 - Prob. 42HPCh. 3.6 - Prob. 43HPCh. 3.6 - Prob. 44HPCh. 3.6 - Prob. 45HPCh. 3.6 - Prob. 46HPCh. 3.6 - Prob. 47HPCh. 3.6 - Prob. 48STPCh. 3.6 - Prob. 49STPCh. 3.6 - Prob. 50STPCh. 3.6 - Prob. 51STPCh. 3.6 - Prob. 52SPRCh. 3.6 - Prob. 53SPRCh. 3.6 - Prob. 54SPRCh. 3.6 - Prob. 55SPRCh. 3.6 - Prob. 56SPRCh. 3.6 - Prob. 57SPRCh. 3.6 - Prob. 58SPRCh. 3.6 - Prob. 59SPRCh. 3.6 - Prob. 60SRCh. 3.6 - Prob. 61SRCh. 3.6 - Prob. 62SRCh. 3.6 - Prob. 63SRCh. 3.6 - Prob. 64SRCh. 3.6 - Prob. 65SRCh. 3 - Prob. 1GRFCCh. 3 - Prob. 2GRFCCh. 3 - Prob. 3GRFCCh. 3 - Prob. 4GRFCCh. 3 - Prob. 5GRFCCh. 3 - Prob. 6GRFCCh. 3 - Prob. 7GRFCCh. 3 - Prob. 8GRFCCh. 3 - Prob. 9GRFCCh. 3 - Prob. 10GRFCCh. 3 - Prob. 11GRFCCh. 3 - 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