1 / 11

12.8 The Distance Formula

12.8 The Distance Formula. CORD Math Mrs. Spitz Spring 2007. Objectives: Find the distance between two points in the coordinate plane, and Find the midpoint of a line segment in the coordinate plane. New Mexico Mathematics Performance Standards Grades 9–12: 2-E-1, 4-C-1

lewis
Télécharger la présentation

12.8 The Distance Formula

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 12.8 The Distance Formula CORD Math Mrs. Spitz Spring 2007

  2. Objectives: Find the distance between two points in the coordinate plane, and Find the midpoint of a line segment in the coordinate plane. New Mexico Mathematics Performance Standards Grades 9–12: 2-E-1, 4-C-1 Assn: WS 10.1 A Objectives/Standard/Assignment

  3. Geometry Review! • What is the difference between the symbols AB and AB? Segment AB The length of Segment AB

  4. The Distance Formula • The Distance d between the points (x1,y1) and (x2,y2) is :

  5. Find the distance between the two points. • (-2,5) and (3,-1) • Let (x1,y1) = (-2,5) and (x2,y2) = (3,-1)

  6. Classify the Triangle using the distance formula (as scalene, isosceles or equilateral) Because AB=BC the triangle is ISOSCELES

  7. The Midpoint Formula • The midpoint between the two points (x1,y1) and (x2,y2) is:

  8. Find the midpoint of the segment whose endpoints are (6,-2) & (2,-9)

  9. Write an equation in slope-intercept form for the perpendicular bisector of the segment whose endpoints areC(-2,1) and D(1,4). • First, find the midpoint of CD. (-1/2, 5/2) • Now, find the slope of CD. m=1 * Since the line we want is perpendicular to the given segment, we will use the opposite reciprocal slope for our equation.

  10. (y-y1)=m(x-x1) or y=mx+b Use (x1 ,y1)=(-1/2,5/2) and m=-1 (y-5/2)=-1(x+1/2) or 5/2=-1(-1/2)+b y-5/2=-x-1/2 or 5/2=1/2+b y=-x-1/2+5/2 or 5/2-1/2=b y=-x+2 or 2=b y=-x+2

  11. Assignment • WS 10.1 A and B (Yes I am borrowing from another text). WS B is extra credit for you. • Reminder: We have class 3 times this week. • Tuesday/Wednesday Chapter 12 Review • We will have a Test on Wednesday/Thursday before the long weekend. If you are slow, please come in during lunch sometime this week to finish. Thanks

More Related