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.
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