1.2 – Use Segments and Congruence

Slides:

Advertisements

Similar presentations

Apply the Segment Addition Postulate

Advertisements

Chapter 1.2 Using Segments and Congruence

1.2 Use Segments and Congruence

Warm Up Simplify – (–3) 2. –1 – (–13) 3. |–7 – 1|

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

Plane Geometry Unit 1 – Chapter 1

Definitions and Postulates

Use Segments and Congruence

EXAMPLE 1 Apply the Ruler Postulate Measure the length of ST to the nearest tenth of a centimeter. SOLUTION Align one mark of a metric ruler with S. Then.

1-2 Measuring and Constructing Segments Warm Up Lesson Presentation

Postulates and Paragraph Proofs

1.1 Exit Ticket: Part 1 Answers

Geometry 1.2: Segments and Congruence SWLT: Use segment postulates to identify congruent segments.

1.2 – Segments and Congruence

Chapter 1 Lesson 4 Objective: To find the length of segments and measures of angles.

1.2 Use segments and Congruence

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

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.

+ Objective: to measure segments and add segment lengths DO NOW: EVALUATE. Plot each point on a coordinate plane. 1.I -15 I 2.I 7 I 3.I I 4.I -12-(-2)

Using Segments and Congruence Midpoint Formula

1.3 Use midpoint and distance formulas You will find lengths of segments in the coordinate plane Essential question: How do you find the distance and the.

1-3 Measuring and Constructing Segments Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz.

1.3 Segments and Their Measures Geometry. Postulates  Rules that are accepted as true without proof  Sometimes they are called axioms.

Warm Up C. Warm Up C Objectives Use the Distance Formula and the Pythagorean Theorem to find the distance between two points.

1.2 Measuring and Constructing Segments

1-2 Measuring and Constructing Segments Lesson Presentation

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,

Chapter 1-2 (Segments and Congruence)

Use the diagram to find GH.

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

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.

Success Criteria:  I can use number operations to find and compare lengths  I can use the ruler and segment addition postulate to reason about length.

Find three cities on this map that appear to be collinear. Chicago, Bloomington, Springfield ANSWER WARM UP!

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

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

Segments and Congruence Section 1.2. Vocabulary The real number that corresponds to a point is the coordinate of the point.

David Vundi Mathematics Teacher Use Segments and Congruence GEOMETRY.

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

1.2 – Use Segments and Congruence

1.3 Segments & Their Measures.

1-2 Use Segments and Congruence

1-2 Measuring and Constructing Segments Warm Up Lesson Presentation

1-2 Measuring and Constructing Segments Warm Up Lesson Presentation

Use segments and congruence

WARM UP 1.5 On desk!.

Sect. 2.5 Proving Statements about Segments.

4.3 – Prove Triangles Congruent by SSS

Section 1.2 – Use Segments and Congruence

1.5 Segments and Their Measures

1.2 – Use Segments and Congruence

Daily Warm up Turn in “What Shape is Your Name”

1-2 Measuring and Constructing Segments Warm Up Lesson Presentation

Chapter 1 : Essentials of Geometry

Chapter 1: Tools of Geometry

Drill: Tuesday, 9/6 Simplify – (–3) 2. –1 – (–13) 3. |–7 – 1|

Bellwork Solve for x Find three cities on this map that appear to be collinear.

Use Segments and Congruence

Drill: Tuesday, 9/3 Simplify. 1. –1 – (–13) 2. |–7 – 1|

Opening Plot the point in the coordinate plane. A(8, -5) B(2, 0)

1-2 Measuring and Constructing Segments Warm Up Lesson Presentation

1-2 Vocabulary coordinate distance length construction between

Math is required to get you there!!

1-2 Measuring and Constructing Segments Warm Up Lesson Presentation

Section 1.3 Segments and Their Measures

Chapter 1 Section 2 Measuring and Constructing Segments

Apply the Ruler Postulate

Objectives Use length and midpoint of a segment.

Chapter 1 Basics of Geometry.

Apply the Ruler Postulate

Ch 1 ESSENTIALS OF GEOMETRY 1.1 Identify Points, Lines, and Planes

Presentation transcript:

1.2 – Use Segments and Congruence Geometry Ms. Rinaldi

Postulate 1 – The Ruler Postulate In Geometry, a rule that is accepted without proof is called a postulate or axiom. Postulate 1 – The Ruler Postulate

EXAMPLE 1 Apply the Ruler Postulate Measure the length of ST to the nearest tenth of a centimeter. The length of ST is about 3.4 centimeters. ANSWER

EXAMPLE 2 Apply the Ruler Postulate Use a ruler to measure the length of the segment to the nearest inch. 1 8 a. 1 in. 5 8 ANSWER b. 1 in. 3 8 ANSWER

Definition Between –

Postulate 2 – Segment Addition Postulate

EXAMPLE 3 Apply the the Segment Addition Postulate Maps The cities shown on the map lie approximately in a straight line. Use the given distances to find the distance from Lubbock, Texas, to St. Louis, Missouri. SOLUTION Because Tulsa, Oklahoma, lies between Lubbock and St. Louis, you can apply the Segment Addition Postulate. LS = LT + TS = 380 + 360 = 740 The distance from Lubbock to St. Louis is about 740 miles. ANSWER

EXAMPLE 4 Find a length In Exercises 3 and 4, use the diagram shown. a. Use the Segment Addition Postulate to find XZ. ANSWER 73 In the diagram, WY = 30. Can you use the Segment Addition Postulate to find the distance between points W and Z? Explain your reasoning. b. No; W is not between X and Z. ANSWER

Use the diagram to find GH. EXAMPLE 5 Find a length Use the diagram to find GH. SOLUTION Use the Segment Addition Postulate to write an equation. Then solve the equation to find GH. FG + GH = FH Segment Addition Postulate. 21 + GH = 36 Substitute 36 for FH and 21 for FG. = 15 GH Subtract 21 from each side.

EXAMPLE 6 Find a length Use the diagram to find WX. 107 ANSWER

Definition Congruent Segments –

EXAMPLE 7 Compare segments for congruence Plot J(– 3, 4), K(2, 4), L(1, 3), and M(1, – 2) in a coordinate plane. Then determine whether JK and LM are congruent.

EXAMPLE 8 Compare segments for congruence Plot the points A(– 2, 4), B(3, 4), C(0, 2), and D(0, – 2) in a coordinate plane. Then determine whether AB and CD are congruent.

Homework Pages 12 – 13 # 1, 6-14, 20, 21-23