Could someone help me with a few questions?

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- anonymous

Could someone help me with a few questions?

- katieb

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

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- anonymous

They're geometry, and it's over dilation.

- horsegirl27

I know a little geometry, so I'll see if I can. If not, I'll tag some users to help.
(also just one question per post please) :)

- anonymous

Alright. First one.
In ΔABC, ∠ ABC is a right angle included between AB¯¯¯¯¯ = 3 units and BC¯¯¯¯¯ = 2 units. ΔABC is dilated by a scale factor of 0.5 with point B as the center of dilation, resulting in the image ΔA′B′C′. Which statement about A'B¯¯¯¯¯¯ is true?
A) A'B¯¯¯¯¯¯ is 1.5 units long and lies on the same line as AB¯¯¯¯¯.
B) A'B¯¯¯¯¯¯ is 3 units long and lies on the same line as AB¯¯¯¯¯.
C) A'B¯¯¯¯¯¯ is 1.5 units long but lies on a different line than AB¯¯¯¯¯.
D) A'B¯¯¯¯¯¯ is 3 units long but lies on a different line than AB¯¯¯¯¯.

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## More answers

- horsegirl27

So I'm not too sure, but I think it will be A or C.
@mathmate do you know?

- horsegirl27

- dan815

You can't just give out answers

- anonymous

I don't entirely understand...

- dan815

|dw:1434729674449:dw|

- dan815

center is the center of dialation

- dan815

and all the sides have been halved as you multiplied by 0.5

- anonymous

Okay.

- dan815

B* is the center of dialation

- anonymous

Alright.

- dan815

so what do u think the answer is

- anonymous

I really don't know. Geometry is my worst subject.

- anonymous

Is it A?

- dan815

yeah

- anonymous

I have more, if you're okay with helping out.

- anonymous

Polygon XYZW is dilated by a scale factor of 2 with point T as the center of dilation, resulting in the image X′Y′Z′W′. If point T lies on YZ¯¯¯¯¯, what can be said about Y'Z'¯¯¯¯¯¯¯ ?
A) Y'Z'¯¯¯¯¯¯¯ passes through point T but has a different slope than YZ¯¯¯¯¯.
B) Y'Z'¯¯¯¯¯¯¯ passes through point T and has the same slope as YZ¯¯¯¯¯ .
C) Y'Z'¯¯¯¯¯¯¯ does not pass through point T but has the same slope as YZ¯¯¯¯¯.
D) Y'Z'¯¯¯¯¯¯¯ does not pass through point T and has a different slope than YZ¯¯¯¯¯.

- dan815

|dw:1434730481115:dw|

- dan815

lets say T is some arbitrary point on that line YZ, now we dilate this figure by a factor of 2 about that point, what will that looks like

- anonymous

.. B? I am terrible at this stuff.

- dan815

|dw:1434730837347:dw|

- dan815

you are right, i think

- anonymous

Alright, next then.
JK¯¯¯¯¯ is dilated by a scale factor of n with the origin as the center of dilation, resulting in the image J'K'¯¯¯¯¯¯¯. The slope of JK¯¯¯¯¯ is m. If the length of JK¯¯¯¯¯ is l, what is the length of J'K'¯¯¯¯¯¯¯?
A) m × n × l
B) (m + n) × l
C) m × l
D) n × l

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