The mid-point of two points.

Slides:

Advertisements

Similar presentations

Sec 1-3 Concept: Use Midpoint and Distance Formulas

Advertisements

C1: The Distance Between Two Points & The Mid-Point of a Line

AB 11 22 33 44 55 66 77 88 99 10  20  19  18  17  16  15  14  13  12  11  21  22  23  24  25  26  27  28.

Section 1.1 The Distance and Midpoint Formulas. x axis y axis origin Rectangular or Cartesian Coordinate System.

The point halfway between the endpoints of a line segment is called the midpoint. A midpoint divides a line segment into two equal parts.

Section 1.1 The Distance and Midpoint Formulas. x axis y axis origin Rectangular or Cartesian Coordinate System.

©thevisualclassroom.com (2,4) (12, 8) 2.7 Determining the Midpoint of a Line Segment (7,6) Find the midpoint between the points (2, 4) and (12, 8) 2 12.

MATHPOWER TM 10, WESTERN EDITION Chapter 6 Coordinate Geometry

Distance and Mid point.

Distance, Midpoint, & Slope. The Distance Formula Find the distance between (-3, 2) and (4, 1) x 1 = -3, x 2 = 4, y 1 = 2, y 2 = 1 d = Example:

1-7: Midpoint and Distance in the Coordinate Plane

Graphing Linear Equations. What is a Linear Equation? A linear equation is an equation whose graph is a LINE. Linear Not Linear.

Geometry 1-6 Midpoint and Distance. Vocabulary Coordinate Plane- a plane divided into four regions by a horizontal line (x-axis) and a vertical line (y-axis).

Lesson opener 1. Name the plane 3 different ways. 2. Name line l differently. 3. Name 3 segments on line h. 4. Name a pair of opposite rays. 5. Name 3.

Distance and Midpoint Formulas Find the distance between two randomly selected points.

COORDINATE GEOMETRY Distance between 2 points Mid-point of 2 points.

Midpoint and Distance Formulas Goal 1 Find the Midpoint of a Segment Goal 2 Find the Distance Between Two Points on a Coordinate Plane 12.6.

8-1, 1-8 Pythagorean Theorem, Distance Formula, Midpoint Formula

Lesson 1.3 Midpoint and distance. midpoint The midpoint of a segment is the point that divides the segment into two congruent segments.

EXAMPLE 3 Use the Midpoint Formula a. FIND MIDPOINT The endpoints of RS are R(1,–3) and S(4, 2). Find the coordinates of the midpoint M.

Formula? Unit?.  Formula ?  Unit?  Formula?  Unit?

Unit 1 Part 3 Segment Addition & Distance and Midpoint Formulas.

Using Coordinate Geometry to Prove Parallelograms

COORDINATE GEOMETRY Summary. Distance between two points. In general, x1x1 x2x2 y1y1 y2y2 A(x 1,y 1 ) B(x 2,y 2 ) Length = x 2 – x 1 Length = y 2 – y.

13.1 The Distance and Midpoint Formulas. Review of Graphs.

Warm Up C. Warm Up C Objectives Use the Distance Formula and the Pythagorean Theorem to find the distance between two points.

Midpoint and Distance Formulas

Topic 5-1 Midpoint and Distance in the Coordinate plan.

April 17, 2012 Midpoint and Distance Formulas

1.8 Midpoint & Distance Formula in the Coordinate Plane Objective: Develop and apply the formula for midpoint. Use the Distance Formula and the Pythagorean.

1.3 Distance & Midpoint I CAN FIND THE DISTANCE BETWEEN TWO POINTS AND THE MIDPOINT OF A SEGMENT.

1 Then the lengths of the legs of ABC are: AC = |4 – (–3)| = |7| = 7 BC = |6 – 2| = |4| = 4 To find the distance between points A and B, draw a right triangle.

Aim: How do we work with mid-segments and midpoints? Goal: Everyone will understand how to solve and find midpoints and mid- segments.

Midpoint and distance formulas

Notes Over 10.1 Finding the Distance Between Two Points Find the distance between the two points.

The coordinate plane is formed by the intersection of two perpendicular number lines called axes. The point of intersection, called the origin, is at 0.

Midpoint and Distance Formulas

Midpoint and Distance Formulas

1-7: Midpoint and Distance in the Coordinate Plane

Distance between 2 points Mid-point of 2 points

2.1 Segment Bisectors Goal:

Midpoint and Distance in the Coordinate Plane

Midpoint and Distance Formulas

Distance and Midpoint Formulas

Using Coordinate Geometry to Prove Parallelograms

Using Coordinate Geometry to Prove Parallelograms

1-6 Midpoint & Distance in the Coordinate Plane

Distance and Midpoint Formulas

L4 distance in the complex plane

Distance Distance – The length of a segment, found by using the coordinates of the endpoints. If the segment is part of a number line (either horizontal.

Finding the Midpoint of a Line Segment

In the diagram at the left, AB is a horizontal line segment.

1-6 Midpoint Find the midpoint of: DE: DC: AB: AE: (2+5) / 2 = 3.5

1-6 Midpoint and Distance in the Coordinate Plane Warm Up

The Distance and Midpoint Formulas

Algebra 1 Section 1.2.

In the diagram at the left, AB is a horizontal line segment.

Do-Now Solve for x: 3x – 10 = 7x + 2 Factor: x2 + 7x – 18

Distance & Mid-Point Formulae

1.3: Midpoints and Bisectors

Midpoints and Distance

Lesson 1-3 Formulas.

The Distance and Midpoint Formulas

7.4 Slope Objectives: To count slope To use slope formula.

Aim: How do we work with mid-segments and midpoints?

The Distance Formula Lesson 9.5.

The Distance & Midpoint Formulas

1-6 Midpoint and Distance in the Coordinate Plane Warm Up

Presentation transcript:

The mid-point of two points. Look at it’s horizontal length y Mid-point of AB B(18,17) 17 = 11.5 (11.5, 10) Look at it’s vertical length 10 3 A(5,3) 11.5 = 10 x 5 18

The mid-point of two points. Look at it’s horizontal length y B(18,17) Mid-point of AB y2 Look at it’s vertical length Formula for mid-point is y1 A(5,3) x x1 x2

Midpoint Formula Find the midpoint between the two points. Midpoint is like finding the average.

Midpoint Formula Find the midpoint between the two points. Midpoint is like finding the average.