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

here is the picture

Answer 2

@Directrix

Answer 3

@GreenCat

Answer 4

Ok

Answer 5

Find all of the slopes first.

Answer 6

@Taya2016Lynne

Answer 7

im doing it hold on

Answer 8

Slope for AC is 6/6 or 1

Answer 9

Slope for DF is 3/3 or 1

Answer 10

Yes.

Answer 11

is that the answer?

Answer 12

No, continue.

Answer 13

Find "all" of the slopes.

Answer 14

the other ones are 1/0 and 0/1

Answer 15

I mean zero and undefined.

Answer 16

Yes.

Answer 17

You may notice that the slopes are the same but the sizes are different.

Answer 18

but they are still the parallel

Answer 19

The point, exactly.

Answer 20

They are parallel, indicating congruent angles.

Answer 21

Taya, I would prove the two triangles are similar using SSS proportions.

\[\frac{ AB }{ DE }= \frac{ 6 }{ 3 }=2\]\[\frac{ CB }{ FE }= \frac{ 6 }{ 3 }=2\]\[\frac{ AC }{ DF }=\frac{ \sqrt{(-5-(-11))^{2}+(8-2)^{2}} }{ \sqrt{(-1-(-4))^{2}+(5-2)^{2 }} }=\sqrt{4}=2\]

Answer 22

There are so many ways. You are also correct.

Answer 23

Having the same slope between the two triangles, doesn't necessarily prove two triangles are similar.

In this case, it may seem obvious since the legs of the triangles are drawn on the top of the lines of the graph.

Answer 24

I'm sorry marshall. with all this college algebra and physics, i cant really remember my geometry. I was doing my College Algebra HW at the time. The question was asking about the slope. I have no idea where my head was.