Points ABCD are connected to form rectangle ABCD. If G is plotted at (7, 4), would rectangle EFGH be similar to rectangle ABCD?
Explain. A) Yes, FG is twice as long as BC
B) No, for similar figures one rectangle cannot be inside of another.
C) Yes, corresponding parts have all been multiplied by the same scale factor.
D) No, corresponding parts have not all be multiplied by the same scale factor.
if the point G was ploted in the point (7,4) we will have that:
The lenght of the sides are:
AD = 2 units
AB = 4 units
BC = 2units
CD = 4 units.
while for the other one we will have:
EH = 4 units
EF = 8 units
FG = 4 units
GH = 8 units
you can see that each side of the rectangle EFGH has twice the lenght of the corresponding sides in the rectangle ABCD. This means that each sides has ben multiplied by the same scale factor, where the scale factor is 2.
Then both rectangles are similar, and the correct option is C.
