Similar Figures Transformations

The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas. 

• Perimeter: 11/6
  Area: 36/121

• Perimeter: 11/6
  Area: 121/36

• Perimeter: 4/11
  Area: 144/25

• Perimeter: 4/11
  Area: 64/16

The two ratios are similar. Find the ratios (red to blue) of the perimeters and of the areas. 

• Perimeter: 4/6 
  Area: 25/64

• Perimeter: 4/16
  Area: 8/16

• Perimeter: 5/8
  Area: 25/64

• Perimeter: 14/9
  Area: 121/64
  Area:

The ratio of the figures is 8:5. Find the missing measure. 

• x = 25.6

• x = 25

• x = 43

• x = 23

The figures are similar. Find x. 

• 18.5

• 30.5

• 20.5

• 16.5

Which of these transformation rules DOES NOT produce similar figures?

• (x,y) ---> (2x+3, 2y)

• (x,y) ---> (1/2x, 1/2y)

• (x,y) --->(-3x, 3y)

• (x,y) ---> (4x, 5y)

Tell whether the two figures are congruent or similar.

• Congruent, because their sides are the same.

• Congruent, because their sides are proportional.

• Similar, because their sides are the same.

• Similar, because their sides are proportional.

• They are not congruent or similar.

Which of the following is NOT true about similar figures?

• Similar figures always have the same shape.

• Similar figures always have the same size.

• Similar figures always have corresponding angles that are equal.

• Similar figures always have corresponding sides that are proportional.

Figures that have congruent angles and proportional side lengths are called _______________________.

Look at the graph. Choose the correct statement.

• Δ CDE and Δ C'D'E' are similar

• Δ CDE and Δ C'D'E' are congruent

• Δ CDE and Δ C'D'E' are not related

Are these two figures similar? Explain your reasoning!

• Yes, similar because they are the same shape and side lengths are proportional.

• No, not similar because they are the same shape, but side lengths are not proportional.

• Yes, same shape

• No, different sizes

Answer explanation

The figures are not similar because, although they have the same shape, their side lengths are not proportional. Similar figures must have corresponding sides that maintain a consistent ratio.