alternate method: distance formula

15
KM bisects JKL. Find mJKM. mJKM = 30° (7x – 12)° Warm Up

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Page 1: Alternate Method: Distance Formula

KM bisects JKL.Find mJKM.

mJKM = 30°

(7x – 12)°

Warm Up

Page 2: Alternate Method: Distance Formula
Page 3: Alternate Method: Distance Formula
Page 4: Alternate Method: Distance Formula
Page 5: Alternate Method: Distance Formula
Page 6: Alternate Method: Distance Formula

Midpoint Exploration

Page 7: Alternate Method: Distance Formula

Midpoint Formula

Midpoint of (x1, y1) and (x2, y2) is:

𝒙𝟏+𝒙𝟐

𝟐,𝒚𝟏+𝒚𝟐

𝟐

DON’T JUST MEMORIZE THE FORMULA. Understand what it

means. You are finding the values halfway between the x’s

and halfway between the y’s!!!

Page 8: Alternate Method: Distance Formula

Answers to 5-8

5) (7.5, 7)

6) (-6, 1)

7) (½ , -9)

8) (10, 11)

Page 9: Alternate Method: Distance Formula

Distance

Can we find the distance (aka the length) of a line?

Can we find the distance (aka the length) of a line

segment?

Page 10: Alternate Method: Distance Formula

Distance Formula

How far apart are these two points???

Page 11: Alternate Method: Distance Formula

Quick Lesson: Pythagorean Theorem

If a and b are the short sides (legs) of a right

triangle, and c is the long side (hypotenuse), then

a

b

c

𝒂𝟐 + 𝒃𝟐 = 𝒄𝟐

Page 12: Alternate Method: Distance Formula

Find the missing side.

3

4

c

Page 13: Alternate Method: Distance Formula

Find the missing side

2

6

c

Page 14: Alternate Method: Distance Formula

How can we use the Pythagorean

Theorem help us with this problem?

How far apart are these two points?

Page 15: Alternate Method: Distance Formula

Homework

Worksheet