4.1 Distance and Midpoint Formulas

Slides:

Advertisements

Similar presentations

Sec 1-3 Concept: Use Midpoint and Distance Formulas

Advertisements

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

EOC Practice #23 SPI EOC Practice #23 Solve problems involving the distance between points or midpoint of a segment.

Y B – y A x B – x A THE DISTANCE AND MIDPOINT FORMULAS Investigating Distance: 2 Find and label the coordinates of the vertex C. 3 x y C (6, 1) 1 Plot.

©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.

Distance, Midpoint, Pythagorean Theorem. Distance Formula Distance formula—used to measure the distance between between two endpoints of a line segment.

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.

1-7: Midpoint and Distance in the Coordinate Plane

UNIT 4: Coordinate Geometry Distance, Pythagorean Theorem, Midpoint.

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.

3. Find the coordinates of the other endpoint of a segment with an endpoint of and a midpoint. Find the distance and midpoint between the points. 1) (3,

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

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

Unit 2 Test Review Geometry Tuesday 9/21/10.

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.

 Quadrant I; (+, +) y-axis  Quadrant II: (-, +)  Quadrant III: (-, -)  Quadrant IV: (+, -)  Origin (0,0) x-axis  Coordinate – a point  Ordered.

Exploring Right Triangles. Dora leaves for a long hike. She walks 6 miles north. Then, she hikes 4 miles west. She then turns and goes 2 miles due south.

Math 1B Unit 7 Part 1. Pythagorean TheoremCirclesMidpointSlope Parallel and PerpendicularSystems

Distance & Midpoint Formulas Sections covered: 1.8 The Coordinate Plane.

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.

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

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.

HOMEROOM. BELL-WORK In the CW section of your notebook complete: CW 4.2: TB pg 602 #1-3,21-22.

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.

3/15/ : The Distance Formula 5.6: The Distance Formula and the Method of Quadrature Expectation: G1.1.5: Given a line segment in terms of its endpoints.

Coordinate Geometry and its Formulas (Distance,Midpoint,Slope)

Equation of Circle Midpoint and Endpoint Distance Slope

Distance Formula: EQ: What is the distance formula?

1-3: Distance and Midpoint. Find the distance between (0,2) and (7,9)

Warm-up Use the Pythagorean theorem to find the missing length of the right triangle. Round to the nearest tenth Determine whether the given.

Midpoint and Distance Formulas

Midpoint and Distance Formulas

1-7: Midpoint and Distance in the Coordinate Plane

Apply the Distance & Midpoint formulas

Midpoint and Distance in the Coordinate Plane

Midpoint and Distance Formulas

Warm-up Use the Pythagorean theorem to find the missing length of the right triangle. Round to the nearest tenth Determine whether the given.

Distance and Midpoints

Distance and Midpoint Formulas

Goal 2.01: Distance and Midpoint

Distance and Midpoint In The Coordinate Plane

Coordinate Geometry Notes Name:____________________________

Math 1B Unit 7 Part 1 Jeopardy.

Midpoint and Distance in the Coordinate Plane

1-6 Midpoint & Distance in the Coordinate Plane

Warm-up Use the Pythagorean theorem to find the missing length of the right triangle. Round to the nearest tenth Determine whether the given.

Apply the Distance/Midpoint

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

Finding the Midpoint of a Line Segment

Section 1 – Introduction to Analytic Geometry

The Distance Formula.

The Distance and Midpoint Formulas

3.4 Proofs with perpendicular lines

Formulas in Three Dimensions

Law of Cosines Skill 44.

Opening Find the slope (4, -4), (1, 2)

The Distance & Midpoint Formulas

Jeopardy Hosted by Ms. Mullen.

1.3 Use Midpoint and Distance Formulas

1-6: Midpoint and Distance

Law of Cosines Skill 43.

Presentation transcript:

4.1 Distance and Midpoint Formulas Standards: MM1G1a and MM1G1c

Midpoint Formula

The Midpoint Formula

Midpoint Formula

(Ex 1) Find a midpoint of a line segment. Find the midpoint of the line segment with endpoints (-3, 7) and (-1, 11).

(Ex 2) Find a missing coordinate Find the missing coordinate given that the midpoint (1, 3) is between the 2 points (-1, 8) and (x, y).

Checkpoint 1. Find the midpoint: (1, -2) and (5, -4) 3. Find the missing coordinate. Midpoint (-1, 3). Endpoints: (2, 4) and (x, y)

Distance Formula

Distance Formula

(Ex 3) Find the distance between 2 points (4, -3) and (-7, 2).

(Ex 4) Find a missing coordinate. The distance between (5, a) and (9,6) is 4 2 units. Find the possible values of a.

Checkpoint 4. Find the distance between (2, -3) and (5, 1). 5. The distance between (-1, 2) and (3, b) is 41 units. Find the possible values of b.

(Ex 5) Find the midpoint and length of the line segments.

(Ex 6) “Real”-world example On a road trip, you hike 3 miles north and 2miles west. Starting at the same point, your friend hikes 4 miles east and 1 mile south. How far apart are you? If you want to meet for lunch, where could you meet so each person goes the same distance?

(Ex 7) Find the distance between a point and a line. What is the distance from point B to line q? B (1, 4) (4, 1) q (1, -2)

Checkpoint 6. Find the distance from point A to line c.

Assignment p. 195 #2-8 (even), 16-22 (even) p. 232 #20 and 22