Which pairs of rectangles are similar polygons?



select similar or not similar for each pair of rectangles.

similar not similar

a and b

b and c

a and c

Similar:   A and B

Not similar:  B and C:  A and C

Step-by-step explanation:

Given in the picture are three rectangles.  We have to find out the pair which are similar.

We know the when two polygons (here rectangles) are similar, corresponding sides will be proportional.

From the picture we can find that all are rectangles since each angle equals 90 degrees.

Let us compare the sides of each pair

A and  B:

Side of A /side of B

Length of A/length of B = 150/108=25/18 =100/72 = width of A/B

Thus sides are proportional so A, B are similar

B and C:

108/132≠72/80.  not similar

C and A

150/132≠100/80.  not similar

So only A and B