Solutions to HW 1. GKJ9. B 2. GC10. G 3. G11. x = -29 4. J12. (4,9) 5. EG 6. BA and BC *7. C 8. FK.

Slides:

Advertisements

Similar presentations

Sec 2-6 Concept: Proving statements about segments and angles Objective: Given a statement, prove it as measured by a s.g.

Advertisements

Warm Up Find the values of y by substituting x = 2, 3, y = 3x-1 2. y = 4(x+3) 3. y = 8(x+4) + x(8+x)

Chapter measuring and constructing segments

Warm Up Simplify. 1.7 – (–3)2. –1 – (–13)3. |–7 – 1| Solve each equation. 4. 2x + 3 = 9x – x = 4x – 5 6. How many numbers are there between and ?

23 point possible Answers to Homework Plane QUXT, plant QUVR

Measurement MA418 – Spring 2010 McAllister. Ruler Postulate (p. 41) Every line can be made into an exact copy of the real number line using a 1-1 correspondence.

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.

Unit 01 – Lesson 03 – Distance & Length

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.

Review Unit 1. Vocab Review Point Line Plane Collinear Points Coplanar Points Coplanar Lines Intersection Line Segment Ray Midpoint Parallel Lines Congruent.

Warm-up Solve the following problems for x x – 5 = 2x 2.5x – 3 = 2x x – 7 = 4x - 3.

Lesson: Segments and Rays 1 Geometry Segments and Rays.

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.

Bellwork 4) Suppose you know PQ and QR. Can you use the segment addition postulate to find PR? Explain.

Do Now Draw and label a figure for each relationship:

+ Objective: Bisect and angle DO NOW: p. 60 in textbook (Folding Angle Bisectors) HOMEWORK: Practice Worksheet A 2.Open notes vocabulary quiz tomorrow.

Measuring Segments UNIT 1 LESSON 3.

Finding Segment Lengths Absolute value of their difference.

1-3 Measuring Segments To find and compare lengths of segments.

Lesson 1.5: Measuring Segments Lesson 1.6a: Measuring Angles

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.

1-2 Measuring and Constructing Segments Warm Up Lesson Presentation

1.1e – Constructing Segments & Lines G-CO.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string,

Ch 1-5: Measuring Segments. A trip down memory lane… The number line.

Segment Measure LT: I can find and compare the lengths of segments.

1.5 Measuring Segments To Find the Lengths of Segments,

Geometry CH 1-3 Measuring angles and Segments End of Lecture / Start of Lecture mark.

Objective: To find and compare lengths of segments.

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

4.4 The Equidistance Theorems

1-3 Measuring segments.

Measuring Segments Unit 1 Lesson 3.

Warm-up Solve the following problems for x x – 5 = 2x

1-2 Measuring and Constructing Segments Warm Up Lesson Presentation

1-2 Measuring and Constructing Segments Warm Up Lesson Presentation

definition of a midpoint

Warm Up: Find the length of ST

1-3: Measuring Segments Geometry – Grade 7 Book page:20.

Bisectors in Triangles

1-2 Measuring and Constructing Segments Warm Up Lesson Presentation

Measuring Segments 1-3 (New Orleans Style). Measuring Segments 1-3 (New Orleans Style)

Teacher Note When talking about the midpoint, mention that it BISECTS the line segment.

1-2 Measuring and Constructing Segments Warm Up Lesson Presentation

Vocabulary Equidistant Locus Perpendicular Bisector Angle Bisector

4.4 The Equidistance Theorems

Chapter 1: Tools of Geometry

Day 3 Measuring Segments and Angles

Line Segment A line segment consists of two points called endpoints of the segment and all the points between them. A D H.

1-2 Measuring and Constructing Segments Are You Ready?

Angles and Bisectors.

1-4 Measuring Segments (part 1).

The Distance and Midpoint Formulas

Section 1.3 Measuring Segments

Chapter 1 Section 3 Midpoint and Distance

Warm Up Solve each equation. 1. 2x – 6 = 7x – /4 x – 6 = 220

1.2 Measuring and Constructing Segments

Section 1.4 Measuring Segments and Angles

1-2 Measuring and Constructing Segments Warm Up Lesson Presentation

1-2 Measuring and Constructing Segments Warm Up Lesson Presentation

Ex: Given: Prove: CPCTC:

Measuring and Constructing Segments

1-3 Vocabulary coordinate plane midpoint segment bisector leg

Objectives Use length and midpoint of a segment.

Coordinate Distance Congruent Midpoint Bisector Angle Sides Vertex

1-4 Measuring Segments and Angles part 1

Presentation transcript:

Solutions to HW 1. GKJ*9. B *2. GC10. G 3. G11. x = J12. (4,9) *5. EG *6. BA and BC *7. C 8. FK

Measuring Segments and Angles 1.3 and 1.4

Objective In today’s lesson, you will learn about ruler postulates and apply some algebraic math to the measurements as well.

Take ruler out and tape string to the ruler please. We can calculate distance using the ruler postulate. How do we do this??? How is a line segment written again?

What is the length of ST? What is the length of TV? What is the length of SV given the lengths of ST and TV? Did we just discover another Postulate???

How would you write this new postulate?

Postulate 1-6

Suppose EF = FG. Solve for x

VocabDefinitionPicture Congruent Segments If two or more segments have the same length, then the segments are Congruent. Midpoint The midpoint of a segment divides the segment into two equal segments. Segment Bisector A point, line, or other segment that intercepts a segment at its midpoint is said to bisect the segment.

Go Back to Activity Worksheet

Angle Vocabulary Does the length of the sides of an angle determine the degree of the angle?

Protractor

Types of Angles What type of angle is <HKN <LKJ <MKL

Congruent Angles On the first activity we worked on with ANGLES, we were looking for congruent angles. Angles with the same degree are congruent angles.

Algebra Problems If <ROT = 155, what is the degree of <ROS & <SOT? Use Statement Reason!

Solutions to HW 1. 89, 45, , 25