w arm -u p 1.how many degrees are there in a triangle? 2.what is the pythagorean theorem? 3.how many...

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WARM-UP 1. How many degrees are there in a triangle? 2. What is the Pythagorean Theorem? 3. How many degrees is a right angle? 4. How many degrees is a straight angle?

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Page 1: W ARM -U P 1.How many degrees are there in a triangle? 2.What is the Pythagorean Theorem? 3.How many degrees is a right angle? 4.How many degrees is a

WARM-UP

1. How many degrees are there in a triangle?

2. What is the Pythagorean Theorem?

3. How many degrees is a right angle?

4. How many degrees is a straight angle?

Page 2: W ARM -U P 1.How many degrees are there in a triangle? 2.What is the Pythagorean Theorem? 3.How many degrees is a right angle? 4.How many degrees is a

9.6 DISTANCE AND MIDPOINT FORMULASPre-Algebra

Page 3: W ARM -U P 1.How many degrees are there in a triangle? 2.What is the Pythagorean Theorem? 3.How many degrees is a right angle? 4.How many degrees is a

DISTANCE FORMULA Used to find the distance between two points

on a coordinate plane

(x1, y1) and (x2, y2)

Page 4: W ARM -U P 1.How many degrees are there in a triangle? 2.What is the Pythagorean Theorem? 3.How many degrees is a right angle? 4.How many degrees is a

EXAMPLES OF THE DISTANCE FORMULA

Find the distance between the two points:

1. M (8, 4) and N (-6, -2)

Page 5: W ARM -U P 1.How many degrees are there in a triangle? 2.What is the Pythagorean Theorem? 3.How many degrees is a right angle? 4.How many degrees is a

EXAMPLES OF THE DISTANCE FORMULA

Find the distance between the two points:

2. A (-1, 3) and B (8, -6)

Page 6: W ARM -U P 1.How many degrees are there in a triangle? 2.What is the Pythagorean Theorem? 3.How many degrees is a right angle? 4.How many degrees is a

EXAMPLES OF THE DISTANCE FORMULA

Find the distance between the two points:

3. J (5, -4) and K (-1, 3)

Page 7: W ARM -U P 1.How many degrees are there in a triangle? 2.What is the Pythagorean Theorem? 3.How many degrees is a right angle? 4.How many degrees is a

MIDPOINT FORMULA Used to find the point that is halfway

between two endpoints of a line segment

Answer is ALWAYS an ordered pair (x, y)

Use: (x1, y1) and (x2, y2)

Page 8: W ARM -U P 1.How many degrees are there in a triangle? 2.What is the Pythagorean Theorem? 3.How many degrees is a right angle? 4.How many degrees is a

EXAMPLES OF THE MIDPOINT FORMULA

Find the midpoint between the two points:

4. J (5, -4) and K (-1, 3)

Page 9: W ARM -U P 1.How many degrees are there in a triangle? 2.What is the Pythagorean Theorem? 3.How many degrees is a right angle? 4.How many degrees is a

EXAMPLES OF THE MIDPOINT FORMULA

Find the midpoint between the two points:

5. B (4, 1) and C (-2, 5)

Page 10: W ARM -U P 1.How many degrees are there in a triangle? 2.What is the Pythagorean Theorem? 3.How many degrees is a right angle? 4.How many degrees is a

EXAMPLES OF THE MIDPOINT FORMULA

Find the midpoint between the two points:

6. R (3, -6) and S (1, -4)

Page 11: W ARM -U P 1.How many degrees are there in a triangle? 2.What is the Pythagorean Theorem? 3.How many degrees is a right angle? 4.How many degrees is a

9.6 STUDY GUIDE AND INTERVENTION

1. 3.

5. 7.

Page 12: W ARM -U P 1.How many degrees are there in a triangle? 2.What is the Pythagorean Theorem? 3.How many degrees is a right angle? 4.How many degrees is a

9.6 STUDY GUIDE AND INTERVENTION

9. 11.

13. 15.