Objectives Develop and apply the formula for midpoint.

Slides:



Advertisements
Similar presentations
Warm Up Lesson Presentation Lesson Quiz.
Advertisements

Apply the Distance & Midpoint formulas Find the distance and the midpoint Find the missing endpoint.
Lesson 1.3 Distance and Midpoints
Lesson Distance and Midpoints 1-3. Ohio Content Standards:
Lesson 1-3: Use Distance and Midpoint Formulas
EXAMPLE 3 Use the Midpoint Formula
1-6 Midpoint and Distance in the Coordinate Plane Warm Up
Midpoint Formula, & Distance Formula
1-6 Midpoint and Distance in the Coordinate Plane Warm Up
Chapter 1.7 Midpoint and Distance in a Coordinate Plane
Lesson Distance and Midpoints 1-3. Ohio Content Standards:
Geometry: Linear Measure Day 2. Do Now: Homework: Struggles? Questions? Confusions? Ask Ask Ask! ** Look at #12 as a class. ** T intersects which plane?
1-7: Midpoint and Distance in the Coordinate Plane
1-3 The Distance and Midpoint Formulas
1.7 Midpoint and Distance in the Coordinate Plane
Geometry 1-6 Midpoint and Distance. Vocabulary Coordinate Plane- a plane divided into four regions by a horizontal line (x-axis) and a vertical line (y-axis).
Chapter 1.3 Notes: Use Midpoint and Distance Formulas Goal: You will find lengths of segments in the coordinate plane.
1-6 Midpoint and Distance in the Coordinate Plane Warm Up
Warm Up 1. Graph A (–2, 3) and B (1, 0). 2. Find CD. 8
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.
1-3B Midpoint and Distance in the Coordinate Plane Warm Up
Holt Geometry 1-6 Midpoint and Distance in the Coordinate Plane Develop and apply the formula for midpoint. Use the Distance Formula to find the distance.
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.
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)
EXAMPLE 3 Use the Midpoint Formula a. FIND MIDPOINT The endpoints of RS are R(1,–3) and S(4, 2). Find the coordinates of the midpoint M.
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.
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.
Conics Review Study Hard!. Name the Conic without graphing and write it in standard form X 2 + Y 2 -4Y-12=0.
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.
Unit 2-2 Slope. What is slope? The _________ of a line in a coordinate plane is a number that describes the steepness of the line. Any ____ points on.
Homework Lesson 9.1 page 567 #22-27 ALL Lesson 1-3: Formulas 1.
Warm Up 1. Graph A (–2, 3) and B (1, 0). 2. Find CD Find the coordinate of the midpoint of CD. –2 4. Simplify. 4.
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.
Daily Review 1.) Find the measurement of PQ
Midpoint and Distance Formulas
Section 1.7 Midpoint and Distance in the Coordinate Plane
1-7: Midpoint and Distance in the Coordinate Plane
1-6 Midpoint and Distance in the Coordinate Plane Warm Up
Apply the Distance & Midpoint formulas
Distance and Midpoint Formulas
1. Graph A (–2, 3) and B (1, 0). 2. Find CD. 8 –2
Distance and Midpoint In The Coordinate Plane
Coordinate Geometry Notes Name:____________________________
Slope and Midpoint.
1-6 Midpoint and Distance in the Coordinate Plane Warm Up
Objectives Develop and apply the formula for midpoint.
Midpoint and Distance in the Coordinate Plane
Objectives Develop and apply the formula for midpoint.
Notes #3 (1.3) 1-3 Distance and Midpoints
Use Midpoint and Distance Formulas
1-6 Midpoint and Distance in the Coordinate Plane Warm Up
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.
1.1 Points, Lines, and Planes 1.3 Distance and Midpoints
Warm Up Solve each equation. 1. 2x – 6 = 7x – /4 x – 6 = 220
Objectives Develop and apply the formula for midpoint.
1-3 Vocabulary coordinate plane midpoint segment bisector leg
Midpoints and Distance
Rectangular Coordinates
1.6 Midpoint and Distance in the Coordinate Plane
Lesson 8.11 distance and midpoint formula
1-6 Midpoint and Distance in the Coordinate Plane Warm Up
Warm Up 1. Graph A (–2, 3) and B (1, 0). 2. Find CD.
Objectives Develop and apply the formula for midpoint.
1.3 Use Midpoint and Distance Formulas
1-6: Midpoint and Distance
Presentation transcript:

Objectives Develop and apply the formula for midpoint. Use the Distance Formula to find the distance between two points.

________________ __ -axis __-axis __________ - an ordered pair (x, y).

Example 1A: Find the coordinates of the midpoint of PQ with endpoints P(–8, 3) and Q(–2, 7).

Example 1B Find the coordinates of the midpoint of EF with endpoints E(–2, 3) and F(5, –3).

Example 2A: M is the midpoint of XY. X has coordinates (2, 7) and M has coordinates (6, 1). Find the coordinates of Y.

Example 2B S is the midpoint of RT. R has coordinates (–6, –1), and S has coordinates (–1, 1). Find the coordinates of T.

Example 3A: Find FG and JK. Then determine whether FG  JK.

Example 3B Find EF and GH. Then determine if EF  GH.