14. Circle O has center (-4,6) and a radius of 8. Circle O is transformed using the rule (x, y)→(x+2, y+2) 1 - centered at point O'. What is the center and radius of the circle after the sequence followed by a dilation of scale factor of transformations.

If the lines a\index{1}x+b\index{1}y+c\index{1}=0 and a\index{2}x+b\index{2}y+c\index{2}=0 cut the coordinate axes at concyclic points,then prove that ∣a\index{1}a\index{2}∣=∣b\index{1}b\index{2}∣.

This graph shows triangle XYZ and triangle X'Y'Z' Wich function describes a transformation that maps triangle XYZ to triangle X'Y'Z'? A.) (X, Y) -> (-X + 3, -Y + 5) B.) (X, Y) -> (-X + 5, Y - 3) C.) (X, Y) -> (-X - 3, Y - 5) D.) (X, Y) -> (X + 5, -Y - 3)

Answer T or F and justify your answers (a)* Under a translation, when one point of a figure travels a distance of 5 units, all points of the figure travel a distance of 5 units. (b) If we reflect an object touching a line & about {, all points of the object on { are fixed. (c) If we rotate a figure about a point P, we get a congruent figure. (d) If we dilate a figure using a point P as the center of dilation, we get a similar figure.