Question

SOME ONE PLEASE HELP! •If you chose translation, use the coordinates of your transformation along with the distance formula to show that the two triangles are congruent by the SSS postulate. You must show all work with the distance formula and each corresponding pair of sides to receive full credit. I am so confused

Answer 1

http://seminole.flvs.net/webdav/educator_geometry_v16/module02/images/02_06b_01_a.gif

Answer 2

i can't view the picture, but use the distance formula for 2 points to show that the translated side is the same as before, for all 3 sides

Answer 3

\[distance = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}\]

Answer 4

@DanJS sorry can you see it now?

Answer 5

ok, translating that does not change its size, just moves it around the coordinate plane, the sides of the translated triangle should be the same lengths as the sides of the original

Answer 6

so I use the equation you said to solve?

Answer 7

the vertical and horizontal lines, you can just measure lengths directly,
vertical 3 to -3 = 6 units
horizontal -2 to 6 = 8 units

use that distance formula to calculate the diagonal length

Answer 8

(x1,y1) =(-2, -3)
to
(x2. y2)=(6,3)

Answer 9

im so sorry I am so bad at math I am trying to understand

Answer 10

\[distance = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}\]
\[distance = \sqrt{(6 - (-2))^2 + (3 - (-3))^2} = \sqrt{8^2+6^2}\]

Answer 11

I GET IT! THANK YOU!

Answer 12

you are just using the pythagorean theorem to calculate the hypotenuse length for a right triangle
c^2 = a^2 + b^2

where c is the diagonal, a and b are the side lengths

Answer 13

So then I just solve that equation and that's the distance between those points?

Answer 14

yep, then translate it somewhere else, and the sides should be the same length as before, showing SSS congruent triangles

Answer 15

so to translate I just draw the triangle again?

Answer 16

i guess, choose translate and move the triangle i think, each point changes the same amount in any direction so that the moved triangle should still have all lengths the same for each side,

Answer 17

oh okay! thank you so much I really appreciate it! how do I give you a medal?

Answer 18

like move all 3 points over 3 and up 2 for example,

Answer 19

welcome, meh medals

Answer 20

thank you !!!!

Answer 21

@DanJS I am so sorry to bother you again but, I got the distance equals 10. Now I am confused on what they want me to do next.

Answer 22

translate the triangle , not sure what the program has you do, move all 3 points by the same (x + a . y +b), you pick 'a' and 'b'

Answer 23

the resulting triangle will have a new location on the grid, but will be the exact same as the old triangle in terms of side lengths, use the calculation you did before to get 10, but this time with the translated points

Answer 24

oh okay so when I use the translated points I should get 10 again? then I am done?

Answer 25

yeah, you have to show all 3 sides have the same lenghts as before

Answer 26

you are just sliding the thing , so of course the side lengths will be the same right?

Answer 27

not squishing it or dilation , where the sides will change

Answer 28

exactly! thank you again!:)