RULER POSTULATES & SEGMENT ADDITION

Slides:

Advertisements

Similar presentations

RULER POSTULATES & SEGMENT ADDITION

Advertisements

1.2 Use Segments and Congruence

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)

1.3 Segments and Their Measures

Chapter measuring and constructing segments

SEGMENT ADDITION This stuff is AWESOME!. Can you see a shark?What about now?

Postulates and Paragraph Proofs

1-2 Linear Measure Textbook page 13. Review: Measuring with a ruler Find the length of using each ruler. cm in.

The most basic figures in geometry are undefined terms, which cannot be defined by using other figures. The undefined terms point, line, and plane are.

Objectives: 1) Find the lengths of segments 2) Find the measures of angles 1-4 Measuring Segments & Angles M11.B.2 M11.C B B.

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.

Measuring Segments. 1) Complete: _________ points determine a line. _________ points determent a plane. 2) Give three names for a line that contains points.

Chapter 1Section 2 - Ruler Postulate1 Chapter 1 Exploring Geometry: Points, Lines, and Angles in the Plane Section 2 Ruler Postulate Objectives: Students.

Warm-up. Agenda Mini-quiz (1-1, 1-2) Homework Review Enrichment 1-3 Section 1-4 Homework Hand in Definitions.

SEGMENT ADDITION This stuff is AWESOME!. Can you see a shark?What about now?

Section 1.3 Segments & Their Measures 1/14. Geometric Vocabulary Postulate : Rules that are accepted without proof. Axiom : Synonym for postulate. Theorem.

Ruler Postulate & Segment Addition Postulate Chapter

1-3: Measuring Segments. Ruler Postulate Every point on a line can be paired with a real number. This makes a ____________ ___________________ between.

1.2 Linear Measure and Precision

Quick Warm-Up Identify an angle, segment, ray, line, and point in the figure. D 2 E F G H.

1.3: Segments, Rays, and Distance

Lesson: Segments and Rays 1 Geometry Segments and Rays.

Warm Up Real World Solid Figures List up to 5 objects found in the real world that have shapes of each of the following solid figures: Prism Cube Pyramid.

Do Now Draw and label a figure for each relationship:

1.3 Segments, Rays, and Distance. Segment – Is the part of a line consisting of two endpoints & all the points between them. –Notation: 2 capital letters.

Lesson 1.5: Measuring Segments Lesson 1.6a: Measuring Angles

Postulate: A rule that is accepted without proof (also called an axiom). The first point A A x1x1 The second point B B x2x2 How do you find the distance.

Chapter 1-2 (Segments and Congruence)

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

Cover Slide Use Segments and Congruence. Between Segment Relationships and Rays Between L J K N K is between J and L.N is not between J and L. (Refer.

Section 1-4: Measuring Segments SPI 12A: Use absolute value to express distance between two points SPI 21B: Solve multi-step.

Measuring Segments and Angles During this lesson, you will use segment postulates to determine the lengths of segments.

Proving Segment Relationships Section 2-7. Ruler Postulate The points on any line can be paired with real numbers so that, given any 2 points A and B.

Date: Topic: Points, Lines, and Planes (6.1) A point is the basic building block of geometry. It has not shape of size., only location. You use a dot to.

Warm-up Open your books to page 11 –Look through the bold face terms in sec. 1.3 –Look at the diagrams that go with each term You will need to be ready.

1-3 Segments, Rays, and Distance

Defined Terms and Postulates

Foundations of Geometry

Do Now: Using the picture below, decide whether the statements are true or false.

RULER POSTULATES & SEGMENT ADDITION

1.3 Segments & Their Measures.

SEGMENT ADDITION.

Measuring and Constructing Line Segments

Points, Lines, and Planes

Lesson 1-2: Segments and Rays

Lesson 1.2 Linear Measurement.

SEGMENT ADDITION This stuff is AWESOME!.

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.

1.1 SEGMENT ADDITION This stuff is AWESOME!.

Proving Segment Relationships

Lesson 1-2: Segments and Rays

1.5 Segments & Their Measures

Lesson 1-2: Segments and Rays

Lesson 1-2 Segments and Rays.

Use Segments and Congruence

Lesson 1-2: Segments and Rays

Chapter 1 Exploring Geometry: Points, Lines, and Angles in the Plane

Lesson 1-2: Segments and Rays

Lesson 3.2 Segment Measure pp

This symbol means 'congruent to'

Lesson 1-2: Segments and Rays

1-2 Vocabulary coordinate distance length construction between

SEGMENT ADDITION This stuff is AWESOME!.

Measuring Segments Chapter 1.4.

Section 1.3 Segments and Their Measures

Lesson 1-2 Segments and Rays.

Chapter 1 Section 2 Measuring and Constructing Segments

2.7 Proving Segment Relationships

Understanding Points, 1-1 Lines, and Planes Warm Up

Presentation transcript:

RULER POSTULATES & SEGMENT ADDITION This stuff is AWESOME!

POSTULATE A STATEMENT ABOUT GEOMETRIC FIGURES ACCEPTED AS TRUE WITHOUT PROOF.

Ruler Postulate The points on a line can be placed in a one-to-one correspondence with real numbers so that For every point on the line, there is exactly one real number. For every real number, there is exactly one point on the line. The distance between any two points is the absolute value of the difference of the corresponding real numbers.

Ruler Placement Postulate Given two points, A and B on a line, the number line can be chosen so that A is at zero and B is at a positive number.

NOTATION REVIEW AB means the line segment with endpoints A and B. AB means the distance between A and B. A B AB = 14 cm

BETWEEN D G E C E is between C and D. G is not between C and D. For one point to be between two other points, the three points must be collinear. C

Segment Addition Postulate Start writing your notes now… If Q is between P and R, then PQ + QR = PR. If PQ + QR = PR, then Q is between P and R. P R Q

SEGMENT ADDITION POSTULATE If Q is between P and R, then PQ + QR = PR. What does this mean? Start with a picture: P R Q If point Q is between points P and R, then the distance between P and Q plus the distance between Q and R is equal to the distance between P and R.

SEGMENT ADDITION POSTULATE If PQ + QR = PR, then Q is between P and R. What does this mean? If the measure of segment PQ plus the measure of segment QR is equal to the measure of segment PR, then point Q must be between points P and R. 12 3 PR = 15 P R Q 14 3 Q P 15 R

Q is between R and T. RT = 18 and QR = 10. Find QT. N is between L and P. LN = 14 and PN = 12. Find LP. L 14 N 12 P Q is between R and T. RT = 18 and QR = 10. Find QT. 10 R Q T 18

Find MN if N is between M and P, MN = 3x + 2, NP = 18, and MP = 5x. 3x + 2 + 18 = 5x 3x + 20 = 5x -3x -3x 20 = 2x 2 2 10 = x