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.

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.
Lesson 1.3 Distance and Midpoints
Midpoint and Distance Formulas
Definitions and Postulates
©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.
1.3 Key Concepts.
Do Now: Pass out calculators. Complete EOC Review Week # 17. Have your homework out ready to check.
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.
THE DISTANCE FORMULA During this lesson, we will use the Distance Formula to measure distances on the coordinate plane.
EXAMPLE 3 Use the Midpoint Formula
Distance, Midpoint, & Slope. The Distance Formula Find the distance between (-3, 2) and (4, 1) x 1 = -3, x 2 = 4, y 1 = 2, y 2 = 1 d = Example:
In the skateboard design, VW bisects XY at point T, and XT = 39.9 cm. Find XY. Skateboard SOLUTION EXAMPLE 1 Find segment lengths Point T is the midpoint.
Distance and midpoint.
SOLUTION EXAMPLE 4 Standardized Test Practice Use the Distance Formula. You may find it helpful to draw a diagram.
1-3 The Distance and Midpoint Formulas
Chapter 4 Lines in the Plane
The Distance and Midpoint Formulas
1.7 Midpoint and Distance in the Coordinate Plane
Distance and Midpoints
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)
2.1 Segment Bisectors. Definitions Midpoint – the point on the segment that divides it into two congruent segments ABM.
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.
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.
Use Midpoint and Distance Formulas
Geometry Section1.3 Using Segments and Congruence Distance and Midpoint Formula.
Chapter 1, Section 6. Finding the Coordinates of a Midpoint  Midpoint Formula: M( (x1+x2)/2, (y1+y2)/2 )  Endpoints (-3,-2) and (3,4)
Lesson 1.3 Midpoint and distance. midpoint The midpoint of a segment is the point that divides the segment into two congruent segments.
EXAMPLE 3 Find a length Use the diagram to find GH. Use the Segment Addition Postulate to write an equation. Then solve the equation to find GH. SOLUTION.
1.3 Use midpoint and distance formulas You will find lengths of segments in the coordinate plane Essential question: How do you find the distance and the.
EXAMPLE 1 Standardized Test Practice SOLUTION Let ( x 1, y 1 ) = ( –3, 5) and ( x 2, y 2 ) = ( 4, – 1 ). = (4 – (–3)) 2 + (– 1 – 5) 2 = = 85 (
Midpoint and Distance Formulas
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.
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.
Midpoint Formula. In the coordinate plane, the coordinates of the midpoint of a segment whose endpoints have coordinates ( x 1, y 1 ) and ( x 2, y 2 )
Find three cities on this map that appear to be collinear. Chicago, Bloomington, Springfield ANSWER WARM UP!
Warm Up Find the midpoints: 1.(7,1) and (17, 9) 2.(6, 5) and (6, 3) 3.(8, 24) and (15, 13)
1-3 Use Midpoint and Distance Formulas Hubarth Geometry.
Objectives Develop and apply the formula for midpoint.
Learn to find the coordinates of the midpoint of a segment
M is the midpoint of AB. Find AM and MB. Example 1 Find Segment Lengths M is the midpoint of AB. Find AM and MB. SOLUTION AM = MB = 2 1.
Warm Up.
Point T is the midpoint of XY . So, XT = TY = 39.9 cm.
8-1 Midpoint and Distance Formulas
Midpoint and Distance Formulas
Section 1.7 Midpoint and Distance in the Coordinate Plane
Midpoint and Distance Formulas
2.1 Segment Bisectors Goal:
Do now Write your comparison on the Do Now Sheet..
Midpoint and Distance Formulas
Apply the Distance & Midpoint formulas
Distance and Midpoint Formulas
1-7: Midpoint and Distance in the Coordinate Plane
1. Find a point between A(–3, 5) and B(7, 5).
Midpoint and Distance in the Coordinate Plane
Congruent segments MIDPOINT OF A SEGMENT
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.
August 29, Find a point between A(–3, 5) and B(7, 5).
Point T is the midpoint of XY . So, XT = TY = 39.9 cm.
1-6 Midpoint Find the midpoint of: DE: DC: AB: AE: (2+5) / 2 = 3.5
Use Midpoint and Distance Formulas
Lesson 1.3 Distance and Midpoints
Midpoint in the Coordinate Plane
Outline Collect syllabi Go over daily quiz
Aim: How do we work with mid-segments and midpoints?
1.3 Use Midpoint and Distance Formulas
Presentation transcript:

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.

EXAMPLE 3 Use the Midpoint Formula – =, M, – 1 M The coordinates of the midpoint M are 1, – ANSWER SOLUTION a. FIND MIDPOINT Use the Midpoint Formula.

EXAMPLE 3 Use the Midpoint Formula b. FIND ENDPOINT The midpoint of JK is M(2, 1). One endpoint is J(1, 4). Find the coordinates of endpoint K.

EXAMPLE 3 Use the Midpoint Formula FIND ENDPOINT Let (x, y) be the coordinates of endpoint K. Use the Midpoint Formula. STEP 1 Find x. 1+ x 2 2 = 1 + x = 4 x = 3 STEP 2 Find y. 4+ y 1 2 = 4 + y = 2 y = – 2 The coordinates of endpoint K are (3, – 2). ANSWER SOLUTION

GUIDED PRACTICE for Example 3 3. The endpoints of AB are A(1, 2) and B(7, 8). Find the coordinates of the midpoint M. ANSWER (4,5) ANSWER (– 6, – 8) 4. The midpoint of VW is M(– 1, – 2). One endpoint is W(4, 4). Find the coordinates of endpoint V.