Question

Rectangle A has a length of 12 and width of 8. Rectangle B has a length of 15 and a width of 10.

Answer 1

Answer:

rectangles are similar figures, thus if scaled copies of each other then the ratios of corresponding sides must be equal

compare ratios of lengths and widths

rectangles A and B

k =  =  ← ratio of lengths

k =  =  ← ratio of widths

scale factors are equivalent, hence rectangle A is a scaled copy of B

rectangles C and B

k =  =  ← ratio of lengths

k =  =  ← ratio of width

scale factors (k ) are not equal, hence C is not a scaled copy of B

rectangles A and C

k =  =  ← ratio of lengths

k =  ← ratio of widths

the scale factors are not equal hence A is not a scaled copy of C

Step-by-step explanation: