Math is required to get you there!!

Slides:

Advertisements

Similar presentations

Apply the Segment Addition Postulate

Advertisements

Chapter 1.2 Using 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.

1.3 Key Concepts.

1-2 Measuring and Constructing Segments Warm Up Lesson Presentation

In the skateboard design, VW bisects XY at point T, and XT = 39.9 cm. Find XY. Skateboard SOLUTION EXAMPLE 1 Find segment lengths Point T is the midpoint.

In the skateboard design, VW bisects XY at point T, and XT = 39.9 cm. Find XY. Skateboard SOLUTION EXAMPLE 1 Find segment lengths Point T is the midpoint.

1.1 Exit Ticket: Part 1 Answers

Use Midpoint and Distance Formulas

Geometry Section1.3 Using Segments and Congruence Distance and Midpoint Formula.

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.

1-2 Measuring and Constructing Segments Warm Up Lesson Presentation

Using Segments and Congruence Midpoint Formula

1.3 Segments and Their Measures Learning Targets: I can use segment postulates. I can use the Distance Formula to measure distances.

Holt McDougal Geometry 1-2 Measuring and Constructing Segments Drill: Tuesday, 9/3 Simplify. 1. –1 – (–13) 2. |–7 – 1| Solve each equation. 3. 2x + 3 =

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

Objectives Use length and midpoint of a segment.

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,

Use the diagram to find GH.

1-2 Measuring and Constructing Segments Warm Up Lesson Presentation

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

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.

F RIDAY, A UGUST 8 TH Complete warm up on separate sheet of paper 1. 2x + 3 = 9x – x = 4x – 5.

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 ?

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

1-3 Use Midpoint and Distance Formulas Hubarth Geometry.

Holt McDougal Geometry 1-2 Measuring and Constructing Segments 1-2 Measuring and Constructing Segments Holt Geometry Warm Up Warm Up Lesson Presentation.

Warm – up True / false : If false, explain why

Point T is the midpoint of XY . So, XT = TY = 39.9 cm.

Warm – up True / false : If false, explain why

1.2 – Use Segments and Congruence

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

1.3 Segments and Their Measures

Drill: Friday 8/ What are parallel lines?

Section 1.2 – Use Segments and Congruence

1.2 – Use Segments and Congruence

Warm – up True / false : If false, explain why

1-2 Measuring and Constructing Segments Warm Up Lesson Presentation

1.2 – Use Segments and Congruence

Chapter 1 : Essentials of Geometry

1-2 Measuring and Constructing Segments Warm Up Lesson Presentation

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.

Point T is the midpoint of XY . So, XT = TY = 39.9 cm.

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

Objectives Use length and midpoint of a segment.

1-2 Measuring and Constructing Segments Warm Up Lesson Presentation

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

1-2 Vocabulary coordinate distance length construction between

1-2 Measuring and Constructing Segments Warm Up Lesson Presentation

1-2 Measuring and Constructing Segments Warm Up Lesson Presentation

1-2 Measuring and Constructing Segments Warm Up Lesson Presentation

Pearson Unit 1 Topic 1: Tools of Geometry 1-2: Measuring Segments Pearson Texas Geometry ©2016 Holt Geometry Texas ©2007.

Apply the Ruler Postulate

Objectives Use length and midpoint of a segment.

Apply the Ruler Postulate

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

Presentation transcript:

Math is required to get you there!! Future Careers Math is required to get you there!!

Completion of higher order mathematics is required for the following careers that you all have considered: Drafting skills that directly relate to Geometry are required for any of these fields - Fashion Designer - Medical Engineer - Tattoo Artist - Mechanic - Skate Park Designer Criminal Lawyer Nursing Therapist Anything in the Medical Field Teaching Judge Lawyer Forensic Science Police Officer Storm Chaser

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

Use Segments and Congruence Lesson 1.2 Use Segments and Congruence

Congruent Segments: exactly the same size and length XY= PQ Red Liquorish XY= PQ segment XY is congruent to segment PQ

Are the segments congruent?  B  C  D

Between: A point is between 2 points if it is on the line (collinear with) that connects those two points.

A rule that is accepted without proof Postulate: A rule that is accepted without proof Liquorish Example

Segment Addition Postulate: Thus, XY + YZ = XZ Segment Addition Postulate

Apply the the Segment Addition Postulate EXAMPLE 1 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

GUIDED PRACTICE for Examples 1 and 2 In the diagram, WY = 30. Can you use the Segment Addition Postulate to find the distance between points W and Z? 4. NO; Because w is not between x and z. ANSWER

Use the Segment Addition Postulate to find XZ. GUIDED PRACTICE 1. Use the Segment Addition Postulate to find XZ. SOLUTION xz = xy + yz Segment addition postulate = 23 + 50 Substitute 23 for xy and 50 for yz = 73 Add ANSWER xz = 73

Use the diagram to find GH. EXAMPLE 2 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.

Use the diagram at the right to find WX. 5. GUIDED PRACTICE Use the diagram at the right to find WX. 5. Use the segment addition postulate to write an equation. Then solve the equation to find WX SOLUTION vx = vw + wx Segment addition postulate 144 = 37 + wx Substitute 37 for vw and 144 for vx 107 = wx Subtract 37 from each side ANSWER WX = 107

Example 3 Point S is between point R and point T. Use the given information to write an equation in terms of x. Solve the equation. Then find both RS and ST. RS = 3x – 16 ST = 4x – 8 RT = 60 I---------------60 -------------------I 3x-16 I-----------4x-8-----------I