Bellwork 1. Name a side of <ACB. 2. What is the probability that a point chosen at random will lie on ΔABC? 3. What is ? 4. Points I, M and U lie on the.

Slides:



Advertisements
Similar presentations
Proving Statements in Geometry
Advertisements

Bellwork  Quarter I review: What is the contrapositive of the statement below? All vertical angles are congruent.  If the point P(3, -2) is moved on.
1.2 Measurement of Segments and Angles
Bellwork Find the average of -11 & 5 Solve Simplify Find to the nearest hundredth Clickers.
Bellwork (on ½ sheet—turn in)
Bellwork  Given: is a perpendicular bisector to  Prove:
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.
Chapter 5 Angle Bisectors. Angle Bisector A ray that bisects an angle into two congruent angles.
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.
Collinearity, Betweenness, and Assumptions
Title of Lesson: Segment and Angle Bisectors
SOME THEOREMS AND POSTULATES Fernando Rodriguez Buena Park HS Presented at CMC South Palm Springs, CA Nov. 4, 2005.
Use Midpoint and Distance Formulas
2.1 Segment Bisectors. Definitions Midpoint – the point on the segment that divides it into two congruent segments ABM.
Index Card Let’s start our stack of Theorems, Postulates, Formulas, and Properties that you will be able to bring into a quiz or test. Whenever I want.
1-2: Measuring & Constructing Segments. RULER POSTULATE  The points on a line can be put into a one-to-one correspondence with the real numbers.  Those.
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.
Day Problems 9/12/12 1.Name the intersection of plane AEH and plane GHE. 2.What plane contains points B, F, and C? 3.What plane contains points E, F, and.
Bellwork: Pick up the sheet on the brown table. Carrie Less took her first Geometry quiz. Unfortunately, she did poorly. Of the 7 problems she worked,
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.
Unit 01 – Lesson 03 – Distance & Length
GEOMETRY 3.4 Perpendicular Lines. LEARNING TARGETS  Students should be able to…  Prove and apply theorems about perpendicular lines.
CHAPTER 1: Tools of Geometry
Section 1-4 Measuring Angles and Segments. _______________________ What is the measure of segment DC? What is the measure of segment DE? What is the measure.
Some Basic Figures Points, Lines, Planes, and Angles.
1.3: Segments, Rays, and Distance
Warm-up Solve the following problems for x x – 5 = 2x 2.5x – 3 = 2x x – 7 = 4x - 3.
1-2: Measuring & Constructing Segments. RULER POSTULATE  The points on a line can be put into a one-to-one correspondence with the real numbers.  Those.
Bellwork (Turn in on ½ sheet!) If is a median, is it also an altitude?
Section 5-1 Perpendiculars and Bisectors. Perpendicular bisector A segment, ray, line, or plane that is perpendicular to a segment at its midpoint.
Lesson 1.7 – Basic Constructions “MapQuest really needs to start their directions on #5. Pretty sure I know how to get out of my neighborhood”
Bellwork 1.Find BE. 2.What is the midpoint of ? 3. On the (x, y) coordinate plane, M(3, -2) is the midpoint of. If the coordinate of D(5, -3), what is.
Bellwork Write in degrees. When you’re finished, confer with your partner. Feel free to do a problem listed on the board if you haven’t earned your chapter.
Refresher…  ABC is isosceles Line CD bisects  C and is a perpendicular bisector to AB If m  A is 50, find m  B, m  ACD, and m  ACB *After notes are.
Bellwork 1.The coordinates of the endpoints of, in the standard (x, y) coordinate plane, are A (2, -4) and B( - 6, 3). What is the y-coordinate of the.
9/14/15 CC Geometry UNIT: Tools of Geometry
Using Proportionality Theorems Section 6.6. Triangle Proportionality Theorem  A line parallel to one side of a triangle intersects the other two sides.
Do Now 8/29/12 Name the intersection of each pair of planes or lines
WARM UP Given ST is congruent SM Given ST is congruent SM TP is congruent MN TP is congruent MN Prove SP is congruent SN Prove SP is congruent SN If congruent.
Bellwork A C B D. 1.4b Angle Bisectors Given a ray bisects an angle, students will be able to conclude two angles are congruent and find missing angle.
Bellwork Take a ½ sheet of paper and work the following problem. Turn it in on the brown table when you are finished. The length of one side of an equilateral.
Bellringer. 1.4 Measuring Segments and Angles Postulate 1-5 Ruler Postulate.
4.4 The Equidistance Theorems
Segments, Rays, and Distance
Midpoint and Distance Formulas
Lesson 3 Segment measure and segment bisector
1-3 Measuring segments.
2.1 Segment Bisectors Goal:
Warm-up Solve the following problems for x x – 5 = 2x
definition of a midpoint
Bisector A bisector divides a segment into two congruent segments. l
Chapter 1: Essentials of Geometry
4.4 Proving Triangles are Congruent by ASA and AAS
4.4 The Equidistance Theorems
Chapter 1: Tools of Geometry
1.2 Measuring and Constructing Segments
3-4 Perpendicular Lines Warm Up Lesson Presentation Lesson Quiz
Angles and Bisectors.
Measuring Segments Skill 03.
Use Segments and Congruence & Midpoints
Parallel, Parallel, Parallel ||
Find each segment length and determine if AB is congruent to CD
To Start: 20 Points 1. What is a midsegment?
Section 1.5 – Division of Segments and Angles
Advanced Geometry Section 2.6 Multiplication and Division Properties
Division of Segments & Angles.
Presentation transcript:

Bellwork 1. Name a side of <ACB. 2. What is the probability that a point chosen at random will lie on ΔABC? 3. What is ? 4. Points I, M and U lie on the same line if IM =5 and IU = 4, what are the possible lengths of MU?

1.5 Division of Segments and Angles Students will be able to: Apply the definition of midpoint, bisector, and trisector to segments and angles.

Midpoint (Defn) TOOLBOX! If a point is a midpoint of a segment, then it divides the segment into two congruent segments.

Example 1 C is between A and B. If AC = 2x + 5 and BC = 4x -1 and AB = 7x -1, is C a midpoint?

Angle Bisector/Trisector (Defn) TOOLBOX! If a ray is an angle bisector/trisector then it divides an angle into two/three congruent angles. The dividing ray is called the bisector/trisector of the angle.

Segment Bisector/Trisector (Defn)TOOLBOX If a segment, line or plane divides a segment into two/three congruent segments then it is called a segment bisector/trisector.

Example 2 Which ray is the angle bisector? Given the angle bisector, what can I conclude?

Oral Examples Pg. 32 #1 - 3

Example 3 Given: bisects <RSV. Prove: <RST <TSV

Example 4 Given: AB = 6, BC = 6 Prove: B is the midpoint.

Example 5 Find the values of x and y if C and D trisect.

Ticket to Leave Given: C is the midpoint of Prove: A B C

Homework: Pg. 32 # 7 – 9, 13 – 18, 20 – 21 Quiz Friday over sections