2.1 Segment Bisectors Goal:

Slides:



Advertisements
Similar presentations
Lesson 1-3: Use Distance and Midpoint Formulas
Advertisements

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.
1.5 Segment and Angle Bisectors Goal 1: Bisect a segment Goal 2: Bisect an angle CAS 16, 17.
Do now: Geo-Activity on page 53
1.5 Segment & Angle Bisectors Geometry Fall 2005 Mrs. Spitz.
Section 1.5 Segment & Angle Bisectors 1/12. A Segment Bisector A B M k A segment bisector is a segment, ray, line or plane that intersects a segment at.
1.5 Segment Bisectors & Midpoint
Title of Lesson: Segment and Angle Bisectors
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.
Midpoint Section: 1.7 Sol:G.3a. Midpoint Section: 1.7 Sol:G.3a.
C. N. Colón Geometry St Barnabas HS Bronx, NY Midpoints and Bisectors Ch 1-4.
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.
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 Section 1.3. Definition O The midpoint of a segment is the point that divides the segment into two congruent segments.
Lesson 1.3 Midpoint and distance. midpoint The midpoint of a segment is the point that divides the segment into two congruent segments.
1.3: Segments, Rays, and Distance
1.5 Segment & Angle Bisectors p.34. Always Remember! If they are congruent, then set their measures equal to each other!
Distance and Midpoint Sec: 1.3 G.2b&c, G.11b Midpoint Is a point in a line segment that splits the line into two congruent segments. Therefore, AX=XB.
Midpoint Section 1.5a. Warm Up 1. Graph A (–2, 3) and B (1, 0). 2. Find CD. 3. Find the coordinate of the midpoint of CD. 4. Simplify.
Use midpoint and distance formulas. Vocabulary Midpoint: the midpoint of a segment is the point that divides the segment into two congruent segments (It.
9/14/15 CC Geometry UNIT: Tools of Geometry
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 
Ch 2 Sect 1 Segment Bisectors
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 )
GEOMETRY Section 1.3 Midpoint.
1-3 Use Midpoint and Distance Formulas Hubarth Geometry.
Warm Up.
1.5 Segment & Angle Bisectors
Segments, Rays, and Distance
Midpoint and Distance Formulas
Midpoint and Distance Formulas
Lesson 3 Segment measure and segment bisector
1-3 Measuring segments.
Warm up Find the midpoint of segment AB A(0,0) B(6,4)
1.3 – Use Midpoint and Distance Formulas &
Do now Write your comparison on the Do Now Sheet..
Distance and Midpoints
Distance and Midpoint Formulas
Bisector A bisector divides a segment into two congruent segments. l
1.3 Midpoint and Distance.
Chapter 1: Essentials of Geometry
5-Minute Check.
1.5 Segment & Angle Bisectors
1.5 Segment & Angle Bisectors
Segments and Angle Bisectors
Warm-up Name the intersection of plane AEH and plane GHE.
1.6: Midpoint and Distance in the Coordinate Plane
Chapter 1: Tools of Geometry
Essentials of geometry
Use Midpoint and Distance Formulas
Use Midpoint and Distance Formulas
1.6: Midpoint and Distance in the Coordinate Plane
The Distance and Midpoint Formulas
1.5 Segment & Angle Bisectors
1.3 Segments, Midpoints and distance formula
Chapter 1 Section 3 Midpoint and Distance
Unit 2 Cumulative Vocab MVP Honors Math 2.
Outline Collect syllabi Go over daily quiz
Use Segments and Congruence & Midpoints
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
1.3 Use Midpoint and Distance Formulas
Presentation transcript:

2.1 Segment Bisectors Goal: Bisect a segment and find the coordinates of the midpoint of a segment.

Key Words Midpoint Bisect Segment Bisector Point on a segment that divides it into two congruent segments. Bisect To divide a segment or angles into two congruent parts. (to cut in two) Segment Bisector A segment, ray line, or plane that intersects a segment at its midpoint.

Find Segment Lengths M is the midpoint of AB. Find AM and MB. 26 A M B

Find Segment Lengths P is the midpoint of RS. Find PS and RS. R 7 P S

Use Algebra with Segment Lengths Line m is a segment bisector of AB. Find the value of x. m A M B 5X 35

The Midpoint Formula The coordinates of the midpoint of a segment are the averages of the x-coordinates and the y-coordinates of the endpoints.

Use the Midpoint Formula Find the coordinates of the midpoint of AB A(1, 2), B(7, 4) A(-2, 3), B(5, -1)

Homework 2.1 pg. 56 12-34 Even