LESSON You identified and modeled points, lines, and planes. Measure segments. Calculate with measures.

Slides:

Advertisements

Similar presentations

Chapter 1.2 Using Segments and Congruence

Advertisements

Chapter 1: Tools of Geometry

Lesson 1-2 Linear Measure and Precision. Ohio Content Standards:

1.2 Key Concepts. Postulate A rule that is accepted without proof. Sometimes called an Axiom.

Definitions and Postulates

Line Segments and Angles

Lesson 1-2 Linear Measure and Precision. Ohio Content Standards:

Linear Measure and Precision

1-2 Linear Measure You identified and modeled points, lines, and planes. Measure segments. Calculate with measures.

Basic Geometric Figures

Chapter 2 MEASURING, PERIMATER, AREA, GRAPHS By: Rain E. Burton and Alexia A. Bayer-Snyder.

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

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 1–1) CCSS Then/Now New Vocabulary Example 1:Length in Metric Units Example 2:Length in Standard.

1.2 Use segments and Congruence

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.

5-Minute Check 1 A.A, B, Q B.B, Q, T C.A, B, T D.T, A, Q Name three collinear points.

1.2 Linear Measure and Precision

Using Segments and Congruence Midpoint Formula

Splash Screen. Over Lesson 1–1 5-Minute Check 1 A.A, B, Q B.B, Q, T C.A, B, T D.T, A, Q Name three collinear points.

Bell Ringer on Lesson questions In your notes, then do p , 58, 61 and 63.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 1–1) CCSS Then/Now New Vocabulary Example 1:Length in Metric Units Example 2:Length in Standard.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 1–1) CCSS Then/Now New Vocabulary Example 1:Length in Metric Units Example 2:Length in Standard.

Welcome to Interactive Chalkboard Glencoe Geometry Interactive Chalkboard Copyright © by The McGraw-Hill Companies, Inc. Developed by FSCreations, Inc.,

Lesson 1.2, For use with pages Solve 3x x – 4 = 36. ANSWER 7 2. Find three cities on this map that appear to be collinear. Chicago, Bloomington,

Use the diagram to find GH.

Geometry Lesson 1 – 2 Linear Measure Objective: Measure segments. Calculate with measures.

Standard: M.3.G.2 M.3.G.4.  Center:  Radius: A line segment drawn from the center to any point on the circle  Diameter: A line segment drawn across.

Quick Review Name three collinear points. Name plane EFG another way.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 1–1) Then/Now New Vocabulary Example 1:Length in Metric Units Example 2:Length in Standard Units.

Chapter 1.2 Linear Measure. Length in Metric Units A. Find the length of AB using the ruler. The ruler is marked in millimeters. Point B is closer to.

Lesson 10-1 Introduction to Circles. Circles - Terms y x Chord Radius (r) Diameter (d) Center Circumference = 2 πr = dπ 0° 180° 90° 270°

Splash Screen. Over Lesson 1–1 5-Minute Check 1 A.A, B, Q B.B, Q, T C.A, B, T D.T, A, Q Name three collinear points.

Lesson 1-5 Segments and Their Measures 1. Objectives Measure segments. Add segment lengths.

Bellringer. 1.4 Measuring Segments and Angles Postulate 1-5 Ruler Postulate.

1-3 Segments, Rays, and Distance

Name three points, two lines, and a Ray. Also, find a point that

1.2 – Use Segments and Congruence

1-2 Use Segments and Congruence

Name the intersection of plane Q and plane R.

Line Segments and Distance

1. Graph A (–2, 3) and B (1, 0). 2. Find CD. 8 –2

Lesson 88 Warm Up Pg. 576.

1-2 Measuring and Constructing Segments Warm Up Lesson Presentation

Measure Line Segments Unlike a line, a line segment, or segment, can be measured because it has two endpoints. A segment with endpoints A and B can be.

Students will be able to measure segments

Name three collinear points.

Linear Measure Line Segment - A measurable part of a line that consists of two points, called the endpoints, and all the points between them. A segment.

Calculate with measures.

Chapter 1: Tools of Geometry

Chapter 1: Tools of Geometry

Name three collinear points.

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

Objective - To measure length in metric units.

Main Idea and New Vocabulary

Line Segments and Distance

To Jesus Christ, my Lord: I can’t explain it, Lord,

undefined term definition defined term space point line plane

1.2 Linear Measure Learning Goals:

Apply the Ruler Postulate

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

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

Presentation transcript:

LESSON You identified and modeled points, lines, and planes. Measure segments. Calculate with measures.

LESSON 1.2 Linear Measure Objective: I will be able to…. 1.Measure segments. 2.Calculate with measures.

LESSON line segment: a part of a line that consists of two endpoints and all the points in between those endpoints – also called a segment. A B endpoints

LESSON Example 1 A. Find the length of AB using the ruler. The ruler is marked in millimeters. Point B is closer to the 42 mm mark. Answer: AB is about 42 millimeters long.

LESSON Example 1 B. Find the length of AB using the ruler. Each centimeter is divided into fourths. Point B is closer to the 4.5 cm mark. Answer: AB is about 4.5 centimeters long.

LESSON Example 1a 18 mm B. 2 cm

LESSON Example 2 Each inch is divided into sixteenths. Point E is closer to the 3-inch mark. A. B.

LESSON betweeness: a point is between 2 other points if it is on the segment created by the two points – all 3 points must be collinear. A B C D E F

LESSON Concept A B C

LESSON Example 3 A.16.8 mm B.57.4 mm C.67.2 mm D.84 mm Find BD. Assume that the figure is not drawn to scale. B C D 16.8 mm 50.4 mm

LESSON Example 4 Find LM. Assume that the figure is not drawn to scale. Point M is between L and N. LM + MN= LNBetweenness of points LM + 2.6= 4Substitution LM – 2.6= 4 – 2.6Subtract 2.6 from each side. LM= 1.4Simplify.

LESSON Example 4 Find TU. Assume that the figure is not drawn to scale. T U V 3 in

LESSON Example 5 ALGEBRA Find the value of x and ST if T is between S and U, ST = 7x, SU = 45, and TU = 5x – 3. ST + TU= SUBetweenness of points 7x + 5x – 3= 45Substitute known values. 7x + 5x – 3 + 3= Add 3 to each side. 12x= 48Simplify. Draw a figure to represent this situation.

LESSON Example 5 x= 4Simplify. ST= 7xGiven = 7(4)x = 4 = 28Multiply. Answer: x = 4, ST = 28 Now find ST.

LESSON Example 5 A.n = 3; WX = 8 B.n = 3; WX = 9 C.n = 9; WX = 27 D.n = 9; WX = 44 ALGEBRA Find the value of n and WX if W is between X and Y, WX = 6n – 10, XY = 17, and WY = 3n.

LESSON congruent: items that are the same size and shape. Use the symbol. means same size means same shape means same shape and size ~ = ~ =

LESSON Concept

LESSON Example 6 FONTS The Arial font is often used because it is easy to read. Study the word time shown in Arial type. Each letter can be broken into individual segments. The letter T has two segments, a short horizontal segment, and a longer vertical segment. Assume that all segments overlap where they meet. Which segments are congruent? TIME Answer: The five vertical segments in the letters T, I, M, and E are congruent. The four horizontal segments in T and E are congruent. The two diagonal segments in the letter M are congruent.

LESSON Example 6 A.barbecuing and beach B.board games and museums C.beach and picnic D.zoo and board games LEISURE ACTIVITIES The graph shows the percent of adults who participated in selected activities. Suppose a segment was drawn along the height of each bar. Which categories would have segments that are congruent?

LESSON Homework: pg. 19 #20-24, odd, 37-38