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1. A reflection maps A to B and B to C. Given AB=12, find AC.

 

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

 

3. As shown in the diagram, angle MOL = 30 degrees and A is a point inside angle MOL with OA=6. Let B and C be points on rays OM and OL respectively. Find the smallest possible perimeter of triangle ABC.

 Apr 22, 2021
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1. AC = 24.

 

2. XY = 6.

 

3. The smallest possible perimeter is 4*sqrt(3).

 May 9, 2021

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