Measuring and Constructing Segments

Slides:



Advertisements
Similar presentations
1.4 Intersections 1.5 Segments
Advertisements

Geometry Section 1.3 Measuring Lengths
Warm Up Simplify – (–3) 2. –1 – (–13) 3. |–7 – 1|
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 ?
1-2 Measuring and Constructing Segments Warm Up Lesson Presentation
Do Now: Label the plane below. Objectives SWBAT use the midpoint and distance formulas.
1.1 Exit Ticket: Part 1 Answers
Goal 1. To be able to use bisectors to find angle measures and segment lengths.
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.
1 1-5 Measuring Segments Find the distance between two points using the Ruler Postulate Determine the length of a segment using the Segment Addition Postulate.
1-3: Measuring Segments. Today’s Objectives  Use The Ruler Postulate to calculate lengths of segments  Identify the midpoint of a segment, and apply.
1-2 Measuring and Constructing Segments Warm Up Lesson Presentation
1.4 and 1.5 Quiz on Friday!. When two lines intersect, they intersect in a ___________ Point.
1.3: Segments, Rays, and Distance
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.
Unit 1 Part 3 Segment Addition & Distance and Midpoint Formulas.
Objectives Use length and midpoint of a segment.
Do Now Draw and label a figure for each relationship:
1.2 Measuring and Constructing Segments
1-2 Measuring and Constructing Segments Lesson Presentation
1) plane BCD, plane BED, or plane ECD 1) plane BCD, plane BED, or plane ECD 2) BD, BC, BE, or BE 2) BD, BC, BE, or BE 3) EC, BC, or BE 3) EC, BC, or BE.
1 1-5 Measuring Segments Find the distance between two points using the Ruler Postulate Determine the length of a segment using the Segment Addition Postulate.
Chapter 1-2 (Segments and Congruence)
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
Holt McDougal Geometry 1-2 Measuring and Constructing Segments 1-2 Measuring and Constructing Segments Holt Geometry Warm Up Warm Up Lesson Presentation.
1. Construct a geometry ruler 2. Define length and congruent 3. Identify and use the Segment Addition Postulate.
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.
Honors Geometry Section 1.2 Measuring Lengths. Consider this number line. On a number line, the real number assigned to a point is called the _________.
Warm up (draw each one) 1) Vertical line m intersects a horizontal plane M at point O. 2) Horizontal plane P contains two lines k and n that intersect.
Do Now 8/29/12 Name the intersection of each pair of planes or lines
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.
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 ?
Holt McDougal Geometry 1-2 Measuring and Constructing Segments 1-2 Measuring and Constructing Segments Holt Geometry Warm Up Warm Up Lesson Presentation.
Segments, Rays, and Distance
1-3 Measuring segments.
1-2 Measuring and Constructing Segments Warm Up Lesson Presentation
1-2 Measuring and Constructing Segments Warm Up Lesson Presentation
1-3: Measuring Segments Geometry – Grade 7 Book page:20.
1-2 Measuring and Constructing Segments Warm Up Lesson Presentation
1-2 Measuring and Constructing Segments Warm Up Lesson Presentation
Teacher Note When talking about the midpoint, mention that it BISECTS the line segment.
1-2 Measuring and Constructing Segments Warm Up Lesson Presentation
Congruent segments MIDPOINT OF A SEGMENT
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|
1.2 Measuring and Constructing Segments
1-2 Measuring & Constructing Segments
Drill: Tuesday, 9/3 Simplify. 1. –1 – (–13) 2. |–7 – 1|
Geom: 1-2 Measuring and Constructing Segments
1-2 Measuring and Constructing Segments Are You Ready?
Remember A segment is the part of a line between two points. 
1-4 Measuring Segments (part 1).
The Distance and Midpoint Formulas
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 Measuring and Constructing Segments
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.
Measuring Segments Skill 03.
Use Segments and Congruence & Midpoints
Objectives Use length and midpoint of a segment.
Presentation transcript:

Measuring and Constructing Segments Notes 1.2 Measuring and Constructing Segments

Distance The Distance between any 2 points is the absolute value of the difference of the coordinates. BC = |C – B| = |3 – 1| = 2 AC = |C – A| = |3 - -2| = |3 + 2| = 5

Congruent Segments Congruent Segments are segments that have the same sizw and same shape. Tick Marks are used to show congruence.

SEGMENT ADDITION POSTULATE If B is between A and C, • • • A B C then AB + BC = AC.

Using the Segment Addition Postulate EXAMPLE # 1 Using the Segment Addition Postulate M is between N and O. Find X. NM + MO = NO 17 + (3x – 5) = 5x + 2 3x + 12 = 5x + 2 – 3x – 3x 12 = 2x + 2 –2 –2 10 = 2x 2 5 = x

4 = x EXAMPLE # 2 Using the Segment Addition Postulate E is between D and F. Find DF. DE + EF = DF (3x – 1) + 13 = 6x 3x + 12 = 6x – 3x – 3x 12 = 3x 12 = 3x 3 4 = x

Using the Segment Addition Postulate EXAMPLE # 2 Continued Using the Segment Addition Postulate E is between D and F. Find DF. DF = 6x = 6(4) = 24

Midpoints The midpoint M of AB is the point that bisects, or divides, the segment into two congruent segments. Example: If M is the midpoint of AB, then AM = MB. So if AB = 6, then AM = 3 and MB = 3.

Example 3: Using Midpoints to Find Lengths D is the midpoint of EF, ED = 4x + 6, and DF = 7x – 9. Find ED, DF, and EF. E D 4x + 6 7x – 9 F Step 1 Solve for x. ED = DF 3 3 15 = 3x 4x + 6 = 7x – 9 –4x –4x 6 = 3x – 9 x = 5 +9 + 9 15 = 3x

Example 3 Continued D is the midpoint of EF, ED = 4x + 6, and DF = 7x – 9. Find ED, DF, and EF. E D 4x + 6 7x – 9 F Step 2 Find ED, DF, and EF. ED = 4x + 6 DF = 7x – 9 EF = ED + DF = 4(5) + 6 = 7(5) – 9 = 26 + 26 = 26 = 26 = 52