Day 3 Measuring Segments and Angles

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
Lesson 1-3: Use Distance and Midpoint Formulas
Chapter 1.3 Notes: Use Midpoint and Distance Formulas Goal: You will find lengths of segments in the coordinate plane.
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.
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.
Lesson 1.3 Midpoint and distance. midpoint The midpoint of a segment is the point that divides the segment into two congruent segments.
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.
DO NOW. Ruler Postulate The distance between any two points on the number line is the absolute value of the difference of their positions. AB = |a –
Some Basic Figures Points, Lines, Planes, and Angles.
1-3: Measuring Segments. Today’s Objectives  Use The Ruler Postulate to calculate lengths of segments  Identify the midpoint of a segment, and apply.
Unit 1 Part 3 Segment Addition & Distance and Midpoint Formulas.
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.
Do Now Draw and label a figure for each relationship:
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”
5.1 Special Segments in Triangles Learn about Perpendicular Bisector Learn about Medians Learn about Altitude Learn about Angle Bisector.
1.3 Measuring Segments and Angles. Postulate 1-5Ruler Postulate The distance between any two points is the absolute value of the difference of the corresponding.
Do Now 8/29/12 Name the intersection of each pair of planes or lines
What kind of angle is
Bellringer. 1.4 Measuring Segments and Angles Postulate 1-5 Ruler Postulate.
1-3 Use Midpoint and Distance Formulas Hubarth Geometry.
Warm-UP 1.Name the Pink Figure! 2.Is Line FLO Colinear? 3.IS GEB CoPlaner? 4.IS AB a Line? 5.Where do the two Planes Intersect?
Integrated Math II Lesson 22 Special Segments in Triangles.
Slide 1-1 Copyright © 2014 Pearson Education, Inc. 1.6 Constructions Involving Lines and Angles.
Warm - up Draw the following and create your own intersection
Defined Terms and Postulates
Segments, Rays, and Distance
1-3 Measuring segments.
2.1 Segment Bisectors Goal:
Foundations of Geometry
Unit 1: Basic Geometry Wednesday, Aug 27th.
Measuring and Constructing Segments
definition of a midpoint
1.6 Basic Constructions SOL: G4 Objectives: The Student Will …
Name Geo / Period (s) 12/02/09 Day # 29
1-3: Measuring Segments Geometry – Grade 7 Book page:20.
Warm - up Draw the following and create your own intersection
Bisector A bisector divides a segment into two congruent segments. l
Chapter 5 Types of Segments
December 7, : Perpendicular and Angle Bisectors
Bisectors in Triangles
5-Minute Check.
Let’s Get It Started Find the next two terms and describe the sequence in words: 5, 25, 125, 625, , 1, 4, 9, 16, 25, , 3,125 and 15,625.
Sequence (day 1) Use classroom ex Interior of angle Postulate
The Addition Postulates and some important definitions, Module 1
1.5 Segment & Angle Bisectors
1.6: Midpoint and Distance in the Coordinate Plane
1.2 Measuring and Constructing Segments
Let’s Get It Started Find the next two terms and describe the sequence in words: 5, 25, 125, 625, , 1, 4, 9, 16, 25, , 3,125 and 15,625.
Use Midpoint and Distance Formulas
Angles and Bisectors.
1.6: Midpoint and Distance in the Coordinate Plane
1-4 Measuring Segments (part 1).
Basic Definitions G.CO.1 and G.CO.12 Objectives 1, 3, 6.
Day Measuring Segments and Angles
Def: Congruent Line Segments:
DRILL.
PLANE A plane is a FLAT surface made up of points that extends indefinitely in all directions. Symbolic Notation: Plane V.
Measuring Segments Skill 03.
Use Segments and Congruence & Midpoints
Parallel, Parallel, Parallel ||
Betweenness, Segments and Rays, Point-Plotting Thereom
Find each segment length and determine if AB is congruent to CD
Coordinate Distance Congruent Midpoint Bisector Angle Sides Vertex
Basic Constructions.
1-4 Measuring Segments and Angles part 1
1.3 Use Midpoint and Distance Formulas
Presentation transcript:

Day 3 Measuring Segments and Angles

Measuring Segments and Angles Find KN EX: 7 13 KN = distance between K and N or the length of KN = the name of the segment between K and N Find a length or distance on a number line =

Congruent Segments: segments that are the same length.

Segment Addition Postulate: If A, B, and C are collinear and B is between A and C Then AB + BC = AC

Midpoint of a segment On a # line: The midpoint splits the segment in exactly half!

Segment Bisector: A figure that passes through the midpoint of a segment.

Examples: W is between V and X, VW = 3x+5, WX=2x+10 and VX = 50. Find VW.

2. K is the midpoint of . JK = 2x+1 and KL=3x-4. Find JL.

1-4 Measuring Angles Angle: is formed by two rays with the same endpoint. The rays are the SIDES of the angle. The endpoint is the VERTEX of the angle. EX NAMES: <ABC <CBA <1

Angle Addition Postulate

Angle Bisector Is a ray that divides an angle into two angles. ____ bisects _______, therefore_____________

Examples: 1. 2. 3.

HW: Complete the worksheet 1-4