Midpoint and Distance Formulas

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

Apply the Distance & Midpoint formulas Find the distance and the midpoint Find the missing endpoint.

©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.

Chapter 1.3 USE DISTANCE AND MIDPOINT FORMULA. In this section we will… Review the midpoint and distance formula Use the definition of a midpoint to solve.

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.

Missy McCarthy Okemos High School Math Instructor.

Lesson 1-3 Formulas Lesson 1-3: Formulas.

1-7: Midpoint and Distance in the Coordinate Plane

4.1 Distance and Midpoint Formulas

The Distance and Midpoint Formulas

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

11.5 Distance & Midpoint Formulas Definitions Formulas & Examples Practice Problems.

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.

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.

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.

Geometry in Golf By: Vanessa Rennie 2 nd hour Novak.

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.

1-6 Midpoint and distance in the coordinate plane

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.

1.7: Midpoint and Distance in the Coordinate Plane Part II.

The Rectangular Coordinate System Quadrant I Quadrant II Quadrant III Quadrant IV 0 x-axis y-axis a b P(a, b)

4.7 Triangles and Coordinate Review of Distance formula and Midpoint formula.

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.

 Then: You graphed points on the coordinate plane.  Now: 1. Find the distance between points. 2. Find the midpoint of a segment.

The Distance and Midpoint Formulas Goal 1 Find the Midpoint of a Segment Goal 2 Find the distance between two points on a coordinate plane Goal 3 Find.

Slope & Midpoint on the Coordinate Plane. SLOPE FORMULA Given two points (x 1,y 1 ) and (x 2,y 2 ) SLOPE The rate of change to get from one point to another.

GEOMETRY Section 1.3 Midpoint.

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

1.3 Distance and Midpoints

Points, Lines, Planes, Segments and Midpoints

Apply the Distance & Midpoint formulas

Midpoint and Distance in the Coordinate Plane

Distance and Midpoints

Distance and Midpoint Formulas

Distance and Midpoint In The Coordinate Plane

Coordinate Geometry Notes Name:____________________________

Slope and Midpoint.

Objectives Develop and apply the formula for midpoint.

How to find the midpoint of a line segment in a coordinate plane.

How to Find a Midpoint of two points on a Number Line - take the average of the coordinates , where M is the coordinate of the midpoint, and x1 and.

Midpoint and Distance in the Coordinate Plane

Notes #3 (1.3) 1-3 Distance and Midpoints

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.

Math Humor Q: What keeps a square from moving?.

Lesson 1.3 Distance and Midpoints

1.7 Midpoint and Distance in the Coordinate Plane

Objective: To calculate midpoint and distance in the xy-plane.

Midpoint in the Coordinate Plane

Midpoint and Distance in the Coordinate Plane

Midpoints (5.1.1) March 20th, 2017.

1.3 Notes: Distance and Midpoints

Welcome to Interactive Chalkboard

Lesson 8.11 distance and midpoint formula

The Distance & Midpoint Formulas

Points, Lines, Planes, Segments and Midpoints

1.3 Use Midpoint and Distance Formulas

Presentation transcript:

Midpoint and Distance Formulas

Midpoint The midpoint of a line segment is the point that lies exactly halfway between the two endpoints.

Find the Midpoint of the Line Segment (7, 1) (-3, 1) 2) (5, -2) (9, -8) 3) (-4, 4) (4, -4)

Distance Formula The distance formula can be used to find the distance between any 2 points in the coordinate plane

Find the Distance between 2 points 1) (2, 3) (-4, 6)

Tracy hits a golf ball that lands 20 feet short and 8 feet to the right of the cup. On her first putt, the ball lands 2 feet to the left and 3 feet beyond the cup. Assuming that the ball traveled in a straight line, how far did the ball travel on her first putt?

Find a Missing Coordinate Find the value of a if the distance between the points (7, 5) and (a, -3) is 10 units.

Practice Page 613 # 4 - 12