Question

can anyone help with geo 1 really need help with transformations will give medal

Answer 1

What do you need?

Answer 2

A trriangle with vertices at A(0,0) B(0,4) and C(6,0) is dialated to yield a triangle with vertices at A(0,0), B(0,10, and C(15,0). The orgin is the center of dilation. What is the scale factor of the dilation? I think it is 3 but not sure

Answer 3

im confused

Answer 4

A lot of times it helps to graph the shape first, then have a look at it. Have you done this?

Answer 5

yes

Answer 6

several times

Answer 7

im thinking i dont understand the concept

Answer 8

Well a dilation implies that the two triangles will be similar, correct?

Answer 9

yes just either larger or smaller

Answer 10

So you can set up an inequality using two of the sides I believe.

Answer 11

\[\frac{ 6 }{ 15 }=\frac{ 4 }{ 10 }\]

Answer 12

Where 6 and 4 are your old side lengths, and 10 and 15 are the new lengths after dilation.

Answer 13

And by reducing both, you can see that you get \[\frac{ 2 }{ 5 }\] for both.

Answer 14

2/5 =2/5

Answer 15

so would that be 2.5

Answer 16

Right, and so the dilation is of the ratio 2:5, or I believe it'd be more properly written as 1:2.5

Answer 17

my choices were 4.5, 2, 2.5, 3

Answer 18

Perfect, so 2.5 it is!

Answer 19

Does that make sense?

Answer 20

wow you made it so much easier i have been strugling with this, so to get it right I take the two sides with the same origin and do an inequality. thank u so much

Answer 21

i wish my teacher told me that

Answer 22

Haha well it depends on the shape too. This works because those lines were straight so you could find their lengths without doing any real math. If they had been diagonal lines you'd have to use the distance formula. But with similar shapes, you can always set up inequalities like that, it's a neat trick to keep in mind. Good luck!

Answer 23

Can you help me with another one?