Distance - Ms. Bolus- Integrated Math 1 & 2...Distance ¨ Can we find the distance (aka the length)...
Transcript of Distance - Ms. Bolus- Integrated Math 1 & 2...Distance ¨ Can we find the distance (aka the length)...
![Page 1: Distance - Ms. Bolus- Integrated Math 1 & 2...Distance ¨ Can we find the distance (aka the length) of a line? ¨ Can we find the distance (aka the length) of a line segment? Distance](https://reader035.fdocuments.us/reader035/viewer/2022071211/60237a716138b37588160370/html5/thumbnails/1.jpg)
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 2: Distance - Ms. Bolus- Integrated Math 1 & 2...Distance ¨ Can we find the distance (aka the length) of a line? ¨ Can we find the distance (aka the length) of a line segment? Distance](https://reader035.fdocuments.us/reader035/viewer/2022071211/60237a716138b37588160370/html5/thumbnails/2.jpg)
Distance Formula
¨ How far apart are these two points???
![Page 3: Distance - Ms. Bolus- Integrated Math 1 & 2...Distance ¨ Can we find the distance (aka the length) of a line? ¨ Can we find the distance (aka the length) of a line segment? Distance](https://reader035.fdocuments.us/reader035/viewer/2022071211/60237a716138b37588160370/html5/thumbnails/3.jpg)
Remember: 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 4: Distance - Ms. Bolus- Integrated Math 1 & 2...Distance ¨ Can we find the distance (aka the length) of a line? ¨ Can we find the distance (aka the length) of a line segment? Distance](https://reader035.fdocuments.us/reader035/viewer/2022071211/60237a716138b37588160370/html5/thumbnails/4.jpg)
Pythagorean Theorem Proofs
![Page 5: Distance - Ms. Bolus- Integrated Math 1 & 2...Distance ¨ Can we find the distance (aka the length) of a line? ¨ Can we find the distance (aka the length) of a line segment? Distance](https://reader035.fdocuments.us/reader035/viewer/2022071211/60237a716138b37588160370/html5/thumbnails/5.jpg)
Find the missing side.
3
4
c
![Page 6: Distance - Ms. Bolus- Integrated Math 1 & 2...Distance ¨ Can we find the distance (aka the length) of a line? ¨ Can we find the distance (aka the length) of a line segment? Distance](https://reader035.fdocuments.us/reader035/viewer/2022071211/60237a716138b37588160370/html5/thumbnails/6.jpg)
Find the missing side
2
6
c
![Page 7: Distance - Ms. Bolus- Integrated Math 1 & 2...Distance ¨ Can we find the distance (aka the length) of a line? ¨ Can we find the distance (aka the length) of a line segment? Distance](https://reader035.fdocuments.us/reader035/viewer/2022071211/60237a716138b37588160370/html5/thumbnails/7.jpg)
Find the missing side
4
b
11
![Page 8: Distance - Ms. Bolus- Integrated Math 1 & 2...Distance ¨ Can we find the distance (aka the length) of a line? ¨ Can we find the distance (aka the length) of a line segment? Distance](https://reader035.fdocuments.us/reader035/viewer/2022071211/60237a716138b37588160370/html5/thumbnails/8.jpg)
Find the missing side
6
10
![Page 9: Distance - Ms. Bolus- Integrated Math 1 & 2...Distance ¨ Can we find the distance (aka the length) of a line? ¨ Can we find the distance (aka the length) of a line segment? Distance](https://reader035.fdocuments.us/reader035/viewer/2022071211/60237a716138b37588160370/html5/thumbnails/9.jpg)
How can we use the Pythagorean Theorem help us with this problem?
¨ How far apart are these two points?
![Page 10: Distance - Ms. Bolus- Integrated Math 1 & 2...Distance ¨ Can we find the distance (aka the length) of a line? ¨ Can we find the distance (aka the length) of a line segment? Distance](https://reader035.fdocuments.us/reader035/viewer/2022071211/60237a716138b37588160370/html5/thumbnails/10.jpg)
Find the distance between the points
(1, 2) and (7, 10)10 units
![Page 11: Distance - Ms. Bolus- Integrated Math 1 & 2...Distance ¨ Can we find the distance (aka the length) of a line? ¨ Can we find the distance (aka the length) of a line segment? Distance](https://reader035.fdocuments.us/reader035/viewer/2022071211/60237a716138b37588160370/html5/thumbnails/11.jpg)
Find the distance between the points
(-4, -4) and (-1, 0)5 units
![Page 12: Distance - Ms. Bolus- Integrated Math 1 & 2...Distance ¨ Can we find the distance (aka the length) of a line? ¨ Can we find the distance (aka the length) of a line segment? Distance](https://reader035.fdocuments.us/reader035/viewer/2022071211/60237a716138b37588160370/html5/thumbnails/12.jpg)
Find the distance between the points
(-9, 0) and (20, 0)29 units
![Page 13: Distance - Ms. Bolus- Integrated Math 1 & 2...Distance ¨ Can we find the distance (aka the length) of a line? ¨ Can we find the distance (aka the length) of a line segment? Distance](https://reader035.fdocuments.us/reader035/viewer/2022071211/60237a716138b37588160370/html5/thumbnails/13.jpg)
Find the distance between the points
(0, 25) and (0, -12)37 units
![Page 14: Distance - Ms. Bolus- Integrated Math 1 & 2...Distance ¨ Can we find the distance (aka the length) of a line? ¨ Can we find the distance (aka the length) of a line segment? Distance](https://reader035.fdocuments.us/reader035/viewer/2022071211/60237a716138b37588160370/html5/thumbnails/14.jpg)
CITY PLANNER PROBLEM
![Page 15: Distance - Ms. Bolus- Integrated Math 1 & 2...Distance ¨ Can we find the distance (aka the length) of a line? ¨ Can we find the distance (aka the length) of a line segment? Distance](https://reader035.fdocuments.us/reader035/viewer/2022071211/60237a716138b37588160370/html5/thumbnails/15.jpg)
Homework
¨ Worksheet