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'B¯¯¯¯¯¯ is 1.5 units long and lies on the same line as AB¯¯¯¯¯. A'B¯¯¯¯¯¯ is 3 units long and lies on the same line as AB¯¯¯¯¯. A'B¯¯¯¯¯¯ is 1.5 units long but lies on a different line than AB¯¯¯¯¯. A'B¯¯¯¯¯¯ is 3 units long but lies on a different line than AB¯¯¯¯¯.

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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'B¯¯¯¯¯¯ is 1.5 units long and lies on the same line as AB¯¯¯¯¯. A'B¯¯¯¯¯¯ is 3 units long and lies on the same line as AB¯¯¯¯¯. A'B¯¯¯¯¯¯ is 1.5 units long but lies on a different line than AB¯¯¯¯¯. A'B¯¯¯¯¯¯ is 3 units long but lies on a different line than AB¯¯¯¯¯.

Geometry
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Ok. Since the center of dilation is B, the point won't change location, and since it's a point that's part of the triangle, the dilated figure will stay inside the triangle.
What can you say about point A' by knowing what I just told you?
That it lies on the same line. @javierpratdesaba

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Perfect. You can now eliminate answers C and D. The next part is length. Since point A' will lie on AB and move towards B (The scale factor is less than 1), it will make A'B' smaller than AB. If you apply the scale factor to the length of AB, what is the answer?
Amazing work. I can tell you really study hard (hehe)
Thanks so much, I've been doing this online geometry for a while now and it's been hard to understand on my own. I've had help from people who can't figure it out either, so I'm really glad i found a platform that helps me. @javierpratdesaba
I can totally understand you, I am in module five of the same course as you :) It can get pretty tough at times, and remember we're here for you guys :) BTY who is your geometry instructor?
I'm using the system called Plato, through my school. I don't have an instructor or teacher or anything of that nature. I'm on home hospital from my school doing online classes, so I essentially teach myself the best I can. @javierpratdesaba

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