Distance and Midpoint 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.

Midpoints and Other Points on Line Segments

The Midpoint Formula. The purpose of the midpoint formula The midpoint formula is used to find the midpoint or the halfway point of a line segment or.

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.

CIRCLES Topic 7.3.

1-7: Midpoint and Distance in the Coordinate Plane

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

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

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.

Definitions of the Day (DODs) 9.2 – The Distance Formula and the Midpoint Formula Distance Formula Midpoint of a line segment 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.

Objective: Finding distance and midpoint between two points. Warm up 1.

The Distance and Midpoint Formulas

“The mind is not a vessel to be filled, but a fire to be kindled.” ― Plutarch Do now Plutarch Find the average of 4 and 8.Find the average of 4 and 8.

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

LESSON Then/Now You graphed points on the coordinate plane. Find the distance between two points. Find the midpoint of a segment.

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.

Midpoint and Distance Formulas

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

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.

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

Equation of Circle Midpoint and Endpoint Distance Slope

Section 2.8 Distance and Midpoint Formulas; Circles.

Circle Equations. Definitions Circle: The set of all points that are the same distance from the center Radius: a segment whose endpoints are the center.

Midpoint and Distance Formulas

Midpoint and Distance Formulas

1-7: Midpoint and Distance in the Coordinate Plane

1.3 Distance and Midpoints

2.1 Segment Bisectors Goal:

CIRCLES Topic 7.3.

Midpoint and Distance Formulas

Apply the Distance & Midpoint formulas

Midpoint and Distance in the Coordinate Plane

The Distance and Midpoint Formulas

Distance and Midpoints

Distance and Midpoint In The Coordinate Plane

1.3 Midpoint and Distance.

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

Section 2.8 Distance and Midpoint Formulas; Circles

CIRCLES Topic 10.2.

Distance and Midpoint Formulas

Distance and Midpoint Formulas; Circles

L4 distance in the complex plane

Apply the Distance/Midpoint

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.

Section 1.9 Distance and Midpoint Formulas; Circles

1.7 Midpoint and Distance in the Coordinate Plane

Algebra 1 Section 1.2.

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

The mid-point of two points.

Review Unit 6 Test 1.

The Distance & Midpoint Formulas

CIRCLES Topic 7.3.

CIRCLES Topic 7.3.

1.3 Use Midpoint and Distance Formulas

1-6: Midpoint and Distance

CIRCLES Topic 7.3.

Presentation transcript:

Distance and Midpoint Formulas

Find the length 7

Find the length 5

Find the length 10

Find the length 5

Find the length

Finding distance from 2 points Formula:

Finding distance from 2 points Example : (4,-2) & (-3,7) 4 -2 -3 7

Finding distance from 2 points Problem 6: (-2,-3) & (-2,4) -2 -3 -2 4

Finding distance from 2 points Problem 12: (3,2) & (5,-2) 3 2 5 -2

Finding the Midpoint when given the endpoints of a segment. The x-value of the midpoint of a segment is the average of the x-values of the endpoints. The y-value is also the average of the y-values of the endpoints: Midpoint Formula:

Finding the Midpoint Example : (6,3) & (-2,7) 6 3 -2 7