1.3 Midpoint and Distance.

Slides:

Advertisements

Similar presentations

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.

Advertisements

1.5 Segment Bisectors & Midpoint

1-7: Midpoint and Distance in the Coordinate Plane

1.6: The Coordinate Plane Objective:

Distance and Midpoints

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.

2.1 Segment Bisectors. Definitions Midpoint – the point on the segment that divides it into two congruent segments ABM.

Goal 1. To be able to use bisectors to find angle measures and segment lengths.

 Find segment lengths using midpoints and segment bisectors  Use midpoint formula  Use distance formula.

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.

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

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

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 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 

APRIL 30 TH, 2014 Midpoint & Distance. Get notes out! Write this down Vocabulary Midpoint: divides a segment into two congruent pieces Segment Bisector:

GEOMETRY Section 1.3 Midpoint.

1-3 Use Midpoint and Distance Formulas Hubarth Geometry.

David Vundi Mathematics Teacher Use Midpoint and Distance Formula GEOMETRY.

Segments, Rays, and Distance

Midpoint and Distance Formulas

Midpoint and Distance Formulas

1-7: Midpoint and Distance in the Coordinate Plane

2.1 Segment Bisectors Goal:

1.3 – Use Midpoint and Distance Formulas &

Do now Write your comparison on the Do Now Sheet..

Midpoint and Distance Formulas

Midpoint and Distance in the Coordinate Plane

Distance and Midpoints

Distance and Midpoint Formulas

2.2.4 Use slope criteria for parallel and perpendicular lines to solve problems on the coordinate plane.

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

Bisector A bisector divides a segment into two congruent segments. l

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.

Chapter 1: Essentials of Geometry

1. Find a point between A(–3, 5) and B(7, 5).

Midpoint and Distance in the Coordinate Plane

1.5 Segment & Angle Bisectors

1.5 Segment & Angle Bisectors

Warm-up Name the intersection of plane AEH and plane GHE.

1.6: Midpoint and Distance in the Coordinate Plane

Segments, Rays, and Distance

Secondary Math Line Segments.

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.

Use Midpoint and Distance Formulas

Use Midpoint and Distance Formulas

Lesson 1-2: Segments and Rays

1.7 Midpoint and Distance in the Coordinate Plane

1.6: Midpoint and Distance in the Coordinate Plane

The Distance and Midpoint Formulas

Midpoint in the Coordinate Plane

1.3 Segments, Midpoints and distance formula

Chapter 1 Section 3 Midpoint and Distance

Def: Congruent Line Segments:

1.3 Notes: Distance and Midpoints

Outline Collect syllabi Go over daily quiz

Warm Up Construct a segment AB.

1.5 Segment and Angle Bisectors

Find each segment length and determine if AB is congruent to CD

Find the Other Endpoint of a Segment

1.5 Segment and Angle Bisectors

Segment and Angle Bisectors

Segment and Angle Bisectors

1.3 Use Midpoint and Distance Formulas

Presentation transcript:

1.3 Midpoint and Distance

Midpoint The midpoint is the point on a segment that divides the segment into two equal parts

How do I find the midpoint? All you do is average the numbers! The midpoint of 4 and 6 is 5 right? Just the average.

So how do I find the midpoint of (3,3) and (4,5) If it is an ordered pair, nothing changes. Average the X values and the Y values The X values are 3 and 4. the average is 3.5 The Y values are 5 and 3 the average is 4 The midpoint is at (3.5,4)

Midpoint formula

Segment Bisector This is a point, line, ray, or plane that bisects a segment Bisect means to cut in 2 equal parts

Given a midpoint and end point find the other endpoint To find the other endpoint or X Double the midpoint, subtract the endpoint you know 2-8 = -6 The other endpoint is at -6

What grade do I need? In my history class the teacher only takes 2 grades. They are averaged to give me my final grade. I make an 87 on the first test. What grade do I need on the second test to have a 90 average? Can you think of another process to get your answer ?