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# help with geometry pls!!

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I rlly need help with these 3 problems asap. tysm to who ever will help me

1: A dilation with scale factor -3 maps X to $$X'$$ and Y to $$Y'$$ Given $$X'Y'=2,$$ find XY

2: In triangle ABC, AB = BC, and CA=6

- Triangle ABC is first rotated clockwise about A for $$90^\circ$$ to triangle $$AB_1C_1$$

- Triangle $$AB_1C_1$$ is then reflected over $$\overline{B_1C_1}$$ to triangle $$A_1B_1C_1$$

- Triangle $$A_1B_1C_1$$ is then translated 8 units to the right to triangle $$A_2B_2C_2$$

- Triangle $$A_2B_2C_2$$ is then dilated about A to triangle $$A_3B_3C_3$$ with scale factor -4

What is the perimeter of triangle $$A_3B_3C_3 ?$$

3: A reflection maps A to B and C to C If AB = 12 then what is the shortest possible length of

$$\overline{AC}?$$

May 21, 2022