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They're geometry, and it's over dilation.
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) :)
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¯¯¯¯¯.
So I'm not too sure, but I think it will be A or C. @mathmate do you know?
You can't just give out answers
I don't entirely understand...
center is the center of dialation
and all the sides have been halved as you multiplied by 0.5
B* is the center of dialation
so what do u think the answer is
I really don't know. Geometry is my worst subject.
Is it A?
I have more, if you're okay with helping out.
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¯¯¯¯¯.
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
.. B? I am terrible at this stuff.
you are right, i think
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