1-7: Midpoint and Distance in the Coordinate Plane

Slides:

Advertisements

Similar presentations

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

Advertisements

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

Lesson 1-3: Use Distance and Midpoint Formulas

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

Geometry: Distance/ Midpoints. Do Now: Check in Problem (do this by yourself and it will be taken and graded as a hw grade) Directions: Find the value.

Distance and midpoint.

1-7: Midpoint and Distance in the Coordinate Plane

1.6: The Coordinate Plane Objective:

The Distance and Midpoint Formulas

1.7 Midpoint and Distance in the Coordinate Plane

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.

Warm Up Find the values of y by substituting x = 2, 3, 10 1.Y = 20x Y = 9(x+3)

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

1-8 The Coordinate Plane SWBAT: Find the Distance between two points in the Coordinate Plane. Find the Coordinates of a Midpoint of a segment.

Warm Up 1. Graph A (–2, 3) and B (1, 0). 2. Find CD. 8

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.

DMR #7 1. Solve for p2. Solve for x 14 = -(p – 8) 2(4x – 3) – 8 = 4 + 2x.

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.

The Distance and Midpoint Formulas

WARMUP Take a sheet of graph paper. Plot the following points and state the quadrant they are in (5, 2) (-4, 3) (-1, -4) (3, -5)

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.

Holt McDougal Geometry 1-6 Midpoint and Distance in the Coordinate Plane 1-6 Midpoint and Distance in the Coordinate Plane Holt Geometry Warm Up Warm Up.

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

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.

Distance & Midpoint in the Coordinate Plane. Coordinate Plane x-axis (Independent) y-axis (Dependent) Quad. I ( +, +) Quad. II ( -, +) Quad. III ( -,

Use midpoint and distance formulas. Vocabulary Midpoint: the midpoint of a segment is the point that divides the segment into two congruent segments (It.

GEOMETRY HELP d = (–8) 2 Simplify. Find the distance between R(–2, –6) and S(6, –2) to the nearest tenth. Let (x 1, y 1 ) be the point R(–2, –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.

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 

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.

1.6: The Midpoint Formula Objective:

Sec. 1 – 8 The Coordinate Plane Objectives: 1) Find the distance between 2 points on the coordinate plane. 2) Find the coordinate of the midpoint of a.

Midpoint and Distance in the Coordinate Plane SEI.3.AC.4: Use, with and without appropriate technology, coordinate geometry to represent and solve problems.

Holt McDougal Geometry 1-6 Midpoint and Distance in the Coordinate Plane.

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

Distance and Midpoint in the Coordinate Plane

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 Segments & Their Measures.

Midpoint and Distance Formulas

Midpoint and Distance in the Coordinate Plane

Distance and Midpoint in the Coordinate Plane

Distance and Midpoint Formulas

COORDINATE PLANE.

Coordinate Geometry Notes Name:____________________________

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

Chapter 1: Tools of Geometry

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.

1.3 Segments, Midpoints and distance formula

The Distance Formula Use this formula to find the distance between the following two points.

Midpoint and Distance in the Coordinate Plane

Distance and Midpoint Formulas

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

Distance Formula Essential Question: How do we find the distance between two coordinate points? Demonstrated by using the distance formula in the notes.

1-3 Vocabulary coordinate plane midpoint segment bisector leg

Midpoints and Distance

Lesson 8.11 distance and midpoint formula

Distance & Midpoint in the Coordinate Plane

Presentation transcript:

1-7: Midpoint and Distance in the Coordinate Plane Course: Geometry pre-IB Quarter: 1st Objective: To find the midpoint of a segment. To find the distance between two points in the coordinate plane. SSS: MA.912.G.1.1 Motivating the Lesson:

Midpoint Formulas On a number line: the coordinate of the midpoint is the average of the coordinates of the endpoint. In the coordinate plane: the coordinates of the midpoint are the average of the x-coordinates and the average of the y-coordinates of the endpoints.

Finding the Midpoint AB has endpoints at -4 and 9. What is the coordinate of its midpoint? EF has endpoints E(7, 5) and F(2, -4). What are the coordinates of its midpoint M?

 What is the midpoint of RS with endpoints R(5, -10) and S(3, 6)?

Finding an Endpoint The midpoint of CD is M(-2, 1). One endpoint is C(-5, 7). What are the coordinates of the other endpoint D?

 The midpoint of LM is A(2, -1). One endpoint is L(-3, -5)  The midpoint of LM is A(2, -1). One endpoint is L(-3, -5). What are the coordinates of the other endpoint?

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

Finding Distance What is the distance between U(-7, 5) and V(4, -3)? Round to the nearest tenth.

 SR has endpoints S(-2, 14) and R(3, -1)  SR has endpoints S(-2, 14) and R(3, -1). What is SR to the nearest tenth?