1. Warm up r = -3 k = -3 x = 2 1. 12 – 6r = 2r + 36 2. 3k – 5 = 7k + 7
Solve
– 6r = 2r + 36
2. 3k – 5 = 7k + 7
3. 2(x + 4) = 6x
r = -3
k = -3
x = 2

2. The Distance Formula

3. D = 3.16 Example Find the distance between (1, 4) and (-2, 3).
Round to the nearest hundredths.
D = 3.16

4. Example
Find the distance between the points, (10, 5) and (40, 45). Round to the nearest hundredths.
D = 50

5. 3. Find the distance between the points. Round to the nearest tenths.
3.6

6. 4. Find the distance between the points. Round to the nearest tenths.
3.2

7. Pythagorean Theorem

8. Pythagorean Theorem Word Problems
Ashley travels 42 miles east, then 19 miles south. How far is Ashley from the starting point? Round to the nearest tenths.
x = 46.1 miles

9. Pythagorean Theorem Word Problems
A square has a diagonal with length of 20 cm. What is the measure of each side? Round to the nearest tenths.
x = 14.1 cm

10. Pythagorean Theorem Word Problems
What is the length of the altitude of an equilateral triangle if a side is 12 cm? Round to the nearest tenths.
x = 10.4 cm

11. Given 2 ordered pairs, it’s the AVG of the x’s and AVG of the y’s.
Midpoint
Given 2 ordered pairs, it’s the
AVG of the x’s and
AVG of the y’s.

12. Midpoint Formula

13. (.5, 5.5) (5.5, 6) Find the midpoint. 1. (3, 7) and (-2, 4)

14. (8.5, 3.5) (2.5, 13) Find the midpoint. (3, -9) and (14, 16)

15. If M is the midpoint of AB, find B. A(-4,10) and M(8,6)5.
(20, 2)

16. Find the midpoint. 6.
(1.5, 4)