Triangle ABC has vertices A(2,3), B(4,5), and C(6,1). If ΔABC is dilated by a scale factor of
3/2
and has the origin as the center of dilation, what are the coordinates of B'?

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral

hi there!

the answer will be d: 2

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)