Question

My problem is attached,

Thanks!

Answer 1

Here,

Answer 2

two triangles ABC and abc
I think Aa and Bb and Cc lines converge in center of dilation

Answer 3

ratio is ab/AB =ac/AC =bc/BC

Answer 4

Thanks, what does it mean by scale the factor of the dilation?

Answer 5

A scale factor is a number which scales, or multiplies, some quantity. In the equation y=Cx, C is the scale factor for x. C is also the coefficient of x, and may be called the constant of proportionality of y to x. For example, doubling distances corresponds to a scale factor of 2 for distance, while cutting a cake in half results in pieces with a scale factor of ½.

Answer 6

okay, and did you find the center?

Answer 7

let me see again the diagram plz

Answer 8

Its at the top.

Answer 9

please chek my nums:
A(-6,0) ,a(-2,0)
B(6,-6) , b(2,-2)
Aa: y=0

Answer 10

Bb: m=-1
y+2=-1(x-2)
y=-x-4

Answer 11

they are correct

Answer 12

-x-4=0: x=-4

(-4,0) it,s not true!

Answer 13

is it?

Answer 14

hhmm... not too sure either

Answer 15

my x component is wrong. why?

Answer 16

I don't know what to tell ya. You were on a roll!

Answer 17

y=-x-4 is false!
y=-x.

do you agree?

Answer 18

so -x=0
x=0
(0,0)

Answer 19

I can't tell you I agree. This is a problem from way back, and I've forgotten all of the mechanics. I think your on to something though. Or at least I hope... lol

Answer 20

I hve forgotten too :)

Answer 21

haha! Thanks for trying though!

Answer 22

sorry if i could not help u:)

Answer 23

No problem, I'll try re-posting later!

Answer 24

The problem i have is with the drawing. You have to guess the locations as the points are not expressed like (x,y)

Answer 25

ya that sucks

Answer 26

like the two lines that converge on the negative x axis a guess would be -6 but that would be just a guess.

Answer 27

The vertical line that is the base of the large triangle looks to have a segment of the line x=6, but I am not sure.

Answer 28

I think 6 is the point for both of those.

Answer 29

You would think they would of stated it so, rather than leave a student guessing. The diagram appears to me that the triangles are skewed a little bit so that the x axis does not go through the midpoint of the larger triangles base.

Answer 30

Tell me about it! Thanks for your sympathy.

Answer 31

Sorry but that is all I can offer! Like you say maybe a reposting and someone like satellite, amister or polpak will see it.

Answer 32

Thanks! I will try that.

Answer 33

this one eh?

Answer 34

yes!!!

Answer 35

do we have any option to choose from? as in multiple choices?

Answer 36

Sadly no, I have show my work.

Answer 37

this is what I assume the points to be

Answer 38

looks good

Answer 39

id have to look up what 'scale dilution' means, but I think its just the scaled factor; find the distances of each line segment

Answer 40

12 4
--- as --- ; is a scale of 1:3 if i see it right
3 1

Answer 41

but the dilution is not centered to the bigger tri, so let me look into that

Answer 42

scale is either 1:3 or 3:1 that i see, does that make sense? the center of the dilution is the points where the lines cross from angle to midsection ..

Answer 43

Do you think I would need to park the spot like with the paint tool?

Answer 44

determine the equations of 2 of those lines; and see where they match up

Answer 45

(-2,0) (2, -1/2) is one line

(2,1) (0,1) appears to be the other

Answer 46

slope = -1/8

y-0 = -1/8(x-(-2))

y = (-1/8)x - (1/4)

Answer 47

(2,1)
-(0,-1)
------
2,2 ; slope = y/x = 1

y-1 = x -2

y = x-1 is the other equation

Answer 48

when: x-1 = (-1/8)x - (1/4) we have the center of the diulted triangle right?

Answer 49

x + (1/8)x = (-1/4) +1

9/8 x = 3/4

x = 8(3)/9(4) = 2(1)/3(1) = 3/2

y = (2/3) -1 = 2/3 - 3/3 = -1/3

the center appears to be at:
\[(\frac{3}{2},-\frac{1}{3})\]

Answer 50

Wow. First off my apologies, secondly a huge round of plausible! Thank you so much, I had no idea.

One little question before you go: How do you find the area of a circle in pi when your given the entire diameter?

Answer 51

Area and Circumference have a radius in common; and Radius = half the diameter

Answer 52

applause*

Answer 53

Area = pi r^2

Answer 54

was my diluted tri correct? :)

Answer 55

I'm not really sure! But again, so i divide the diameter in half, and then what?

Answer 56

(d/2)^2 * pi

Answer 57

if diam = 10; then Area = (10/2)^2 pi = 25 pi

Answer 58

Got it! thank you so, so, so much!

Answer 59

Thanks amistre64, I was lost without the points be given.

Answer 60

:) i had to assume points as well