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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
 #1
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1. if AB=12 then BC=12 so AC=12+12=24

 

2. call the point of dilation o for origin.

 

X'O=3XO

X'X=4XO

 

same goes for y

 

so

 

XY=1/4 of 2 = 1/2

 Apr 22, 2021
edited by SparklingWater2  Apr 22, 2021
edited by SparklingWater2  Apr 22, 2021
 #2
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3. The smallest possible perimeter of triangle ABC is 3*sqrt(3).

 Apr 22, 2021

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