Warm Up.

Slides:



Advertisements
Similar presentations
1.7 Midpoint and Distance in the Coordinate Plane 9/22/10
Advertisements

Sec 1-3 Concept: Use Midpoint and Distance Formulas
Section 1.1 The Distance and Midpoint Formulas. x axis y axis origin Rectangular or Cartesian Coordinate System.
Lesson 1-3: Use Distance and Midpoint Formulas
©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.
1.5 Segment and Angle Bisectors Goal 1: Bisect a segment Goal 2: Bisect an angle CAS 16, 17.
Vocabulary The distance between any two points (x 1, y 1 ) and (x 2, y 2 ) is Distance Formula 9.6Apply the Distance/Midpoint The midpoint of a line segment.
Midpoint Formula, & Distance Formula
1-7: Midpoint and Distance in the Coordinate Plane
THE DISTANCE FORMULA ALGEBRA 1 CP. WARM UP Can the set of numbers represent the lengths of the sides of a right triangle? 4, 5, 6.
1-2 Measuring Segments Objectives
Distance and Midpoints
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.
Use Midpoint and Distance Formulas
Chapter 1.3 Notes: Use Midpoint and Distance Formulas Goal: You will find lengths of segments in the coordinate plane.
Midpoint Section: 1.7 Sol:G.3a. Midpoint Section: 1.7 Sol:G.3a.
Goal 1. To be able to use bisectors to find angle measures and segment lengths.
1.3 Use Midpoint and Distance Formulas The MIDPOINT of a segment is the point that divides the segment into two congruent segments. A SEGMENT BISECTOR.
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.
Definitions of the Day (DODs) 9.2 – The Distance Formula and the Midpoint Formula Distance Formula Midpoint of a line segment Midpoint Formula.
8-1, 1-8 Pythagorean Theorem, Distance Formula, Midpoint Formula
DISTANCE AND MIDPOINT. DISTANCE  Given any two points on a coordinate plane you can find the distance between the two points using the distance formula.
Midpoint and Distance Formulas Section 1.3. Definition O The midpoint of a segment is the point that divides the segment into two congruent segments.
Chapter 1, Section 6. Finding the Coordinates of a Midpoint  Midpoint Formula: M( (x1+x2)/2, (y1+y2)/2 )  Endpoints (-3,-2) and (3,4)
Objective: Finding distance and midpoint between two points. Warm up 1.
Lesson 1.3 Midpoint and distance. midpoint The midpoint of a segment is the point that divides the segment into two congruent segments.
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.
Find the equation of the line with: 1. m = 3, b = m = -2, b = 5 3. m = 2 (1, 4) 4. m = -3 (-2, 8) y = 3x – 2 y = -2x + 5 y = -3x + 2 y = 2x + 2.
12.4 The Distance Formula Objectives: Use the distance formula to find the distance between 2 points in a coordinate plane. Determine whether a triangle.
Distance and Midpoint Sec: 1.3 G.2b&c, G.11b Midpoint Is a point in a line segment that splits the line into two congruent segments. Therefore, AX=XB.
April 17, 2012 Midpoint and Distance Formulas
Use midpoint and distance formulas. Vocabulary Midpoint: the midpoint of a segment is the point that divides the segment into two congruent segments (It.
4.1 Apply the Distance and Midpoint Formulas The Distance Formula: d = Find the distance between the points: (4, -1), (-1, 6)
1.8 Midpoint & Distance Formula in the Coordinate Plane Objective: Develop and apply the formula for midpoint. Use the Distance Formula and the Pythagorean.
Warm up (draw each one) 1) Vertical line m intersects a horizontal plane M at point O. 2) Horizontal plane P contains two lines k and n that intersect.
1 Lesson 1-3 Use Midpoint and Distance Formula. Warm Up 2 1.Find a point between A(-3,5) and B(7,5). 2.Find the average of -11 and 5. 3.Solve 4.Find 
Sec 1.8 Circles Objectives: To understand the distance and midpoint formulas. To understand the equations of circles and their graphs.
Midpoint and Distance in the Coordinate Plane SEI.3.AC.4: Use, with and without appropriate technology, coordinate geometry to represent and solve problems.
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
Section 1.7 Midpoint and Distance in the Coordinate Plane
Midpoint and Distance Formulas
1-7: Midpoint and Distance in the Coordinate Plane
1.3 Distance and Midpoints
2.1 Segment Bisectors Goal:
Midpoint and Distance Formulas
Distance and Midpoints
Distance and Midpoint Formulas
Coordinate Geometry Notes Name:____________________________
1-7: Midpoint and Distance in the Coordinate Plane
Chapter 1: Essentials of Geometry
Midpoint and Distance in the Coordinate Plane
Coordinate Proof Using Distance with Segments and Triangles p 521
Segments and Angle Bisectors
Coordinate Plane Sections 1.3,
Notes #3 (1.3) 1-3 Distance and Midpoints
L4 distance in the complex plane
Apply the Distance/Midpoint
12/1/2018 Lesson 1-3 Formulas Lesson 1-3: Formulas.
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.
The Distance and Midpoint Formulas
The Distance and Midpoint Formulas
Midpoint and Distance in the Coordinate Plane
Do-Now Solve for x: 3x – 10 = 7x + 2 Factor: x2 + 7x – 18
The mid-point of two points.
The Distance and Midpoint Formulas
Warm Up Construct a segment AB.
The Distance & Midpoint Formulas
1.3 Use Midpoint and Distance Formulas
Presentation transcript:

Warm Up

Warm Up

The Coordinate Plane Section 1.8

Length of a Segment (Vertical or Horizontal)

The Distance Formula The distance between 2 points A(x1, y1) and B(x2, y2) is:

The Distance Formula AB = 5, and point A has coordinates (1, 2). If the x coordinate of B is 5, what are the possible y values?

The Midpoint Formula The coordinates of the midpoint M of AB with endpoints A(x1, y1) and B(x2, y2) are:

The Midpoint Formula The coordinates of the midpoint M are (-1, 3). If the coordinates of A are (-5, 4) find the coordinates of B.

Recap To find the length of a segment or the distance between 2 points on the coordinate plane, use the Distance Formula. To find the midpoint of a segment, use the Midpoint Formula. If a segment is bisected, it is bisected at its midpoint.