Holt McDougal Geometry 1-2 Measuring and Constructing Segments 1.1 Exit Ticket: Part 1 Answers 1. Two opposite rays. 3. The intersection of plane N and plane T. 4. A plane containing E, D, and B. 2. A point on BC. CB and CD Possible answer: B,C, D Possible answer: BD Plane T
CB and CD. 2. A point on BC. Possible answer: BD. 1.1 Exit Ticket: Part 1 Answers. 1. Two opposite rays. Possible answer: B,C, D. 3. The intersection of plane N and plane T. 4. A plane containing E , D , and B. Plane T. Exit Ticket: Part II Answers. - PowerPoint PPT Presentation
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Holt McDougal Geometry
1-2 Measuring and Constructing Segments
1.1 Exit Ticket: Part 1 Answers
1. Two opposite rays.
3. The intersection of plane N and plane T.
4. A plane containing E, D, and B.
2. A point on BC.
CB and CD
Possible answer: B,C, D
Possible answer: BD
Plane T
Holt McDougal Geometry
1-2 Measuring and Constructing Segments
Exit Ticket: Part II Answers
5. a line intersecting a plane at one point
6. a ray with endpoint P that passes through Q
Draw each of the following.
Holt McDougal Geometry
1-2 Measuring and Constructing Segments
AB Length of AB (distance between A & B)
AB line segment AB
AB line AB
Objectives1.Use Segment Addition Postulate and Midpoint2. Construct Congruent segment and Midpoint
Holt McDougal Geometry
1-2 Measuring and Constructing Segments
Holt McDougal Geometry
1-2 Measuring and Constructing Segments
Find the distance between two points or the length of the segment
Example-
Find the length of EF, FC, DC
Holt McDougal Geometry
1-2 Measuring and Constructing Segments
Find the distance between two points or the length of the segment
You Practice-
Find the length of DB and DC
Holt McDougal Geometry
1-2 Measuring and Constructing Segments
Congruent segments: segments that have the same length.
In the diagram, PQ = RS, so you can write:
PQ RS. This is read as:
“segment PQ is congruent to segment RS.”
Tick marks are used in a figure to show congruent segments.
Holt McDougal Geometry
1-2 Measuring and Constructing Segments
In order for you to say that a point B is between two points A and C, all three points must lie on the same line, and AB + BC = AC.
Holt McDougal Geometry
1-2 Measuring and Constructing Segments
Example 1A: Using the Segment Addition Postulate
G is between F and H, FG = 6, and FH = 11. Find GH.
2. Write equation based on picture
.
1. Draw picture
3. Solve
Holt McDougal Geometry
1-2 Measuring and Constructing Segments
Example 1B: Using the Segment Addition Postulate
R is between T and M, RT = 7, and RM = 12. Find TM.
2. Write equation based on picture
.
1. Draw picture
3. Solve
Holt McDougal Geometry
1-2 Measuring and Constructing Segments
Check It Out! Example 1
Y is between X and Z, XZ = 15, and XY =2 .
Find YZ.
XZ = XY + YZ
Holt McDougal Geometry
1-2 Measuring and Constructing Segments
Challenge: Using the Segment Addition Postulate
M is between N and O.
Find NO.
Seg. Add. Postulate
Substitute the given values
Subtract 2 from both sides.Simplify.
Subtract 3x from both sides.
Divide both sides by 2.
Holt McDougal Geometry
1-2 Measuring and Constructing Segments
Challenge: Using the Segment Addition Postulate
E is between D and F.
Find DF.
Seg. Add. Postulate
Substitute the given values
Simplify.
Subtract 3x from both sides.
Divide both sides by 3.
Holt McDougal Geometry
1-2 Measuring and Constructing Segments
Midpoint:
Bisect:
Holt McDougal Geometry
1-2 Measuring and Constructing Segments
The midpoint M of AB is the point that bisects, or divides, the segment into two congruent segments.