Question

Triangle ABC is similar to triangle DEF. Using the image below, prove that parallel lines have the same slope. You must show all of your work to receive credit.

Answer 1

Can anyone please help me figure this question out?

Answer 2

@marissalovescats

Answer 3

@Hero

Answer 4

@Luigi0210

Answer 5

@ParthKohli

Answer 6

Anyone's help would be appreciated! :D

Answer 7

@wio

Answer 8

Okay,

Answer 9

Do you know how to calculate the slop for the line from C to A?

Answer 10

yes rise/run

Answer 11

What did you get?

Answer 12

1

Answer 13

or 6/6

Answer 14

Okay, do the same for F to D

Answer 15

i also got 1

Answer 16

Okay, so that is how you show CA and FD are parallel. Now you just need to do the same for the other corresponding sides.

Answer 17

BA and ED?

Answer 18

In that case, you can show that they are parallel by claiming they are both completely vertical.

Answer 19

Say that they are both parallel to the y axis.

Answer 20

This can be done by showing that the 'run' is 0.

Answer 21

we have to show work not just say its parallel to the y axis or i'll get no credit for this work.

Answer 22

If the run is 0, then it is parallel to the y axis. Is there a strict definition of parallel for this not to be a sufficient answer?

Answer 23

no, but I wanna be more specific to get points this piece of work is worth. So, when u said i have to do the same thing so the corresponding sides, did u mean for line segment BA and ED?

Answer 24

Both have an 'undefined' slope.

Answer 25

oh okay, so i just show work by what we did from points C to A and F to D?

Answer 26

The line for \(AB\) is \(x=-5\). The line for \(DE\) is \(x=-1\). If we set them equal \(-5=x=-1\) we get \(-5=-1\). Since this is a contradiction (it is never true), that means they never intersect. This means that they are parallel.

Answer 27

Oh okay thank you so so so so so much! would you be able to help with more I'm stuck on at this moment?

Answer 28

I can try.

Answer 29

thank you very much for your time! :)

Answer 30

A shooting star forms a right triangle with the Earth and the Sun, as shown below:

Answer 31

A scientist measures the angle x and the distance y between the Earth and the shooting star. Using complete sentences, explain how the scientist can use only these two measurements to calculate the distance between the Earth and the Sun.

Answer 32

@wio