HOMEROOM

BELL-WORK

In the

CW section

of your notebook complete:

CW 4.2:

TB pg 602 #1-3,21-22

Materials Check

HW 4.1

HW with corrections due Monday!

HW 4.1(e) Solutions

13. 1.25 yd 14. 20 mm 15. 110 miles 16. 1.2 miles 20. yes 21. no 31. Any length between 22.4 ft and 26.9 ft 33. 35.4 cm

Quiz 4.1

Take Home Quiz!

Be sure to sign the honor code (write it on the top of your page if you cannot print it) Due Monday

during Home-Room

.

Available on website!

Guiding question:

What are two applications of the Pythagorean Theorem?

Applications of the Pythagorean Theorem

One very important application of the Pythagorean Theorem is that it can be used to find the distance between two points on the coordinate plane.

Applications of the Pythagorean Theorem

The distance between A(x 1 , y 1 ) and B(x 2 , y 2 ) is found using the formula:

Applications of the Pythagorean Theorem

Find the distance between

F

(6, -9) and

G

(9, -4) (to the nearest tenth).

Applications of the Pythagorean Theorem

Find the distance between

F

(6, -9) and

G

(9, -4) (to the nearest tenth).

Applications of the Pythagorean Theorem

Find the distance between

F

(6, -9) and

G

(9, -4) (to the nearest tenth).

Applications of the Pythagorean Theorem

Find the distance between

F

(6, -9) and

G

(9, -4) (to the nearest tenth).

d

= 5.8

Applications of the Pythagorean Theorem

The Anderson and McCready families decide to go to a concert together. The Andersons live 4 km west and 6 km north of the concert hall. The McCready’s live 5 km east and 2km south of the concert hall. How far apart do the two families live? Give your answer in simplest radical form.

Applications of the Pythagorean Theorem

Not only can we find the distance between 2 points on the coordinate plane, we can also find the midpoint of any line segment.

What do you think the midpoint of a line segment is?

The midpoint of a line segment is the point that divides the segment into two equal parts.

Applications of the Pythagorean Theorem

The midpoint ‘M’, is calculated using the formula:

Applications of the Pythagorean Theorem

Find the midpoint of the line joining

F

(6,-9) and

H

(9, -4).

Applications of the Pythagorean Theorem

Find the midpoint of the line joining

F

(6,-9) and

H

(9, -4).

Applications of the Pythagorean Theorem

Find the midpoint of the line joining

F

(6,-9) and

H

(9, -4). M = (7½, -6½)

Applications of the Pythagorean Theorem

CD

is a diameter of a circle. The coordinates of

C

are (-2,-3), and the coordinates of

D

are (-12,-5). Find the center of the circle.

Who wants to answer the Guiding question?

What are two applications of the Pythagorean Theorem?