1. 1.1 Exit Ticket: Part 1 Answers
1. Two opposite rays.
CB and CD
2. A point on BC.
Possible answer: B,C, D
3. The intersection of plane N and plane T.
Possible answer: BD
4. A plane containing E, D, and B.
Plane T

2. 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

3. 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

5. Find the distance between two points or the length of the segment
Example- Find the length of EF, FC, DC

6. Find the distance between two points or the length of the segment
You Practice- Find the length of DB and DC

7. “segment PQ is congruent to segment RS.”
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.

8. 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.

9. 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

10. 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

11. Check It Out! Example 1
Y is between X and Z, XZ = 15, and XY = Find YZ.
XZ = XY + YZ

12. 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.

13. 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.

14. Midpoint:
Bisect:

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

16. Construct Midpoint and segment bisector
Math Open Reference

17. 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

18. 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

19. 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.
D is the mdpt. of EF.
Substitute 4x + 6 for ED and 7x – 9 for DF.
Subtract 4x from both sides.
Simplify.
Add 9 to both sides.
Simplify.

20. 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.
D is the mdpt. of EF.
Substitute 4x + 6 for ED and 7x – 9 for DF.
Subtract 4x from both sides.
Simplify.
Add 9 to both sides.
Simplify.

21. 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
S is the mdpt. of RT.
–2x = –3x – 2
Substitute –2x for RS and –3x – 2 for ST.
+3x +3x
Add 3x to both sides.
x = –2
Simplify.

22. HW
Pg 17, 1-7, 17,18