1.5 Segment and Angle Bisector Bisect a segment and an angle.

Slides:

Advertisements

Similar presentations

DO NOW Sketch each figure. CD GH AB Line m Acute ABC XY II ST.

Advertisements

Chapter measuring and constructing segments

5.1 Perpendicular Bisector Equidistant. Definition of a Perpendicular Bisector A Perpendicular Bisector is a ray, line, segment or even a plane that is.

Perpendicular and Angle Bisectors

Lesson 1-3: Use Distance and Midpoint Formulas

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

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.

Section 1-5: Constructions SPI 32A: Identify properties of plane figures TPI 42A: Construct bisectors of angles and line segments Objective: Use a compass.

Bisecting Segments and Angles

Title of Lesson: Segment and Angle Bisectors

When two segments have the same length, they are said to be congruent segments. If AB = AC Measure of segments Congruent Segments then AB = AC A BC Is.

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.

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.

Segment and Angle Bisectors. 1.5 Segment and Angle Bisectors GOAL 1 Bisect a segmentGOAL 2 Bisect an Angle.

Answers to Homework 2a) -2/5 b) -2/5 c) 5/2 4) 1,1,-1,-1 6a) -1,1 b) Multiply to -1 c) If one angle of a parallelogram is right, all angles are d) (3,-1)

Bell Work 8/26-8/27. Outcomes I will be able to: 1) Define and Use new vocabulary: midpoint, bisector, segment bisector, construction, Midpoint Formula.

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)

1.6 Basic Constructions.

CHAPTER 1: Tools of Geometry

2-3: Proving Theorems. Reasons used in Proofs Given information Definitions Postulates (Algebraic Properties included) Theorems that have already been.

4.7 Triangles and Coordinate Review of Distance formula and Midpoint formula.

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.

BELLRINGER A B C D m ADC = 64 m ADB = 3x - 2 m BDC = 4x + 3 Find m ADB =_________Find m BDC = _________ X Y Z XZ = 57 inches XY = 3x + 9 YZ = 2x - 7 Find.

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 

Sec 1.8 Circles Objectives: To understand the distance and midpoint formulas. To understand the equations of circles and their graphs.

Ch 2 Sect 1 Segment Bisectors

GEOMETRY Section 1.3 Midpoint.

Slide 1-1 Copyright © 2014 Pearson Education, Inc. 1.6 Constructions Involving Lines and Angles.

Point T is the midpoint of XY . So, XT = TY = 39.9 cm.

1.5 Segment & Angle Bisectors

8-1 Midpoint and Distance Formulas

Midpoint and Distance Formulas

Midpoint and Distance Formulas

2.1 Segment Bisectors Goal:

Day 20 Geometry.

Chapter 5.1 Segment and Angle Bisectors

Distance and Midpoints

Bisector A bisector divides a segment into two congruent segments. l

1.3 Midpoint and Distance.

Chapter 1: Essentials of Geometry

1. Find a point between A(–3, 5) and B(7, 5).

Midpoint and Distance in the Coordinate Plane

1.5 Segment & Angle Bisectors

1.5 Segment & Angle Bisectors

Congruent segments MIDPOINT OF A SEGMENT

Constructing Perpendicular Bisectors

Notes #3 (1.3) 1-3 Distance and Midpoints

Constructing Perpendicular Bisectors

August 29, Find a point between A(–3, 5) and B(7, 5).

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

Use Midpoint and Distance Formulas

Sept 1st midpoint.

Midpoint in the Coordinate Plane

Module 15: Lesson 5 Angle Bisectors of Triangles

Midpoint and Distance in the Coordinate Plane

Standard Equation of a Circle Definition of a Circle

G6 - Deductive Reasoning

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

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

Midpoints, bisectors and trisectors

Presentation transcript:

1.5 Segment and Angle Bisector Bisect a segment and an angle

Definition of the Midpoint A midpoint bisects a segment into two equal segments. A M B So AM = MB

A Line can also bisect Here Line XY bisects CD at Q Y C QD X Thus CQ = QD

WE can find a segment bisector by folding paper Draw a line and mark the end point dark. Fold the paper to put one endpoint over the other endpoint. Where the paper is folded is the midpoint of the segment.

Midpoint Formula How to find the midpoint on a graph Given the endpoints (x,, y 1 ) and (x 2, y 2 ) of the Line segment we can use the formula Let the endpoint be (2, 8) and (6, 2) =

What if you are just given the Midpoint and an endpoint Midpoint (5, 6) and endpoint (6,4) 6 + x = y = 12 x = 4 and y = 8 other endpoint (4,8)

Angle bisector If YM is the angle bisector, then XM Y Z

Some work with Angle bisectors X MP bisect P MB

Solve for x BX bisect A XSolve for X B C

Solve for x BX bisect A XSolve for X B C2x + 6 = 3x = x

Homework Page 38 – 40 # odd #31 – 33 #38 – 42 #44 – 49, 52, 54