1. What is the value of x and AB if B is between A and C, AB = 3x + 2, BC = 7, and AC = 8x – 1?
A. x = 2, AB = 8
B. x = 1, AB = 5 C.
D. x = –2, AB = –4
5-Minute Check 1

2. If M is between L and N, LN = 3x – 1, LM = 4, and MN = x – 1, what is the value of x and MN?
A. x = 1, MN = 0
B. x = 2, MN = 1
C. x = 3, MN = 2
D. x = 4, MN = 3
5-Minute Check 2

3. What segment is congruent to MN?
A. MQ
B. QN
C. NQ
D. no congruent segments
5-Minute Check 4

4. What segment is congruent to NQ?
A. MN
B. NM
C. QM
D. no congruent segments
5-Minute Check 5

5. A. 5
B. 6
C. 14
D. 18
5-Minute Check 6

6. You graphed points on the coordinate plane.
Find the distance between two points.
Find the midpoint of a segment.
Then/Now

7. distance
irrational number
midpoint
segment bisector
Vocabulary

8. Concept

9. Use the number line to find QR.
Find Distance on a Number Line
Use the number line to find QR.
The coordinates of Q and R are –6 and –3.
QR = | –6 – (–3) | Distance Formula
= | –3 | or 3 Simplify.
Answer: 3
Example 1

10. Use the number line to find AX.
C. –2
D. –8
Example 1

11. Concept

12. DISTANCE FORMULA

13. Find the distance between E(–4, 1) and F(3, –1).
Find Distance on a Coordinate Plane
Find the distance between E(–4, 1) and F(3, –1).
(x1, y1) = (–4, 1) and (x2, y2) = (3, –1)
Example 2

14. Find Distance on a Coordinate Plane
Check Graph the ordered pairs and check by using the Pythagorean Theorem.
Example 2

15. Find Distance on a Coordinate Plane.
Example 2

16. Find the distance between A(–3, 4) and M(1, 2).
Example 2

17. Concept

18. MIDPOINT FORMULA (NUMBER LINE)

19. Concept

20. MIDPOINT FORMULA (COORDINATE PLANE)

21. Find Midpoint in Coordinate Plane
Answer: (–3, 3)
Example 4

22. A. (–10, –6)
B. (–5, –3)
C. (6, 12)
D. (–6, –12)
Example 4

23. Find the coordinates of R if N (8, –3) is the midpoint of RS and S has coordinates (–1, 5).
B. (–10, 13)
C. (15, –1)
D. (17, –11)
Example 5

24. A. 1
B. 10
C. 5
D. 3
Example 6