1.1 Exit Ticket: Part 1 Answers

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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
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Exit Ticket Part II Answers
Draw each of the following.
5. a line intersecting a plane at one point
6. a ray with endpoint P that passes through Q
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• Objectives
• Use Segment Addition Postulate and Midpoint
• Construct Congruent segment and Midpoint

AB Length of AB (distance between A B) AB
line segment AB AB line AB
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Find the distance between two points or the
length of the segment

• Example-
• Find the length of EF, FC, DC

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Find the distance between two points or the
length of the segment

• You Practice-
• Find the length of DB and DC

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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.
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Example 1A Using the Segment Addition Postulate
G is between F and H, FG 6, and FH 11. Find
GH.
1. Draw picture
2. Write equation based on picture
.
3. Solve
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Example 1B Using the Segment Addition Postulate
R is between T and M, RT 7, and RM 12. Find
TM.
1. Draw picture
2. Write equation based on picture
.
3. Solve
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Check It Out! Example 1
Y is between X and Z, XZ 15, and XY 2 .
Find YZ.
XZ XY YZ
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Challenge Using the Segment Addition Postulate
M is between N and O. Find NO.
Seg. Add. Postulate
Substitute the given values
Simplify.
Subtract 2 from both sides.
Subtract 3x from both sides.
Divide both sides by 2.
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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.
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Midpoint Bisect
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Construct Midpoint and segment bisector

• Math Open Reference
• http//www.mathopenref.com/tocs/constructionstoc.h
  tml

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Example 2A Using the Midpoint
S is the midpoint of JK, and SJ 4. Find JK
1. Draw picture
2. Write equation based on picture
.
3. Solve
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Example 2B Using the Midpoint
B is the midpoint of AC, and AB 22. Find BC
1. Draw picture
2. Write equation based on picture
.
3. Solve
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Example 3 Using Midpoints to Find Lengths
D
E
F
4x 6
7x 9
Step 1 Solve for x.
Substitute 4x 6 for ED and 7x 9 for DF.
Subtract 4x from both sides.
Simplify.
Add 9 to both sides.
Simplify.
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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.
D
E
F
4x 6
7x 9
Step 1 Solve for x.
Substitute 4x 6 for ED and 7x 9 for DF.
Subtract 4x from both sides.
Simplify.
Add 9 to both sides.
Simplify.
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Check It Out! Example 3
S is the midpoint of RT, RS 2x, and ST 3x
2. Find RS, ST, and RT.
R
S
T
2x
3x 2
Step 1 Solve for x.
RS ST
2x 3x 2
Substitute 2x for RS and 3x 2 for ST.
Add 3x to both sides.
x 2
Simplify.
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HW

• Pg 17, 1-7, 17,18