Similar Rectangles

• Rectangle ABCD is similar to rectangle PQRS because all rectangles are similar, so rectangle ABCD can be dilated to fit exactly over rectangle PQRS.

• Rectangle ABCD is similar to rectangle PQRS because their corresponding sides are congruent, so rectangle ABCD can be dilated to fit exactly over rectangle PQRS.

• Rectangle ABCD is not similar to rectangle PQRS because their corresponding sides are not proportional, so rectangle ABCD cannot be dilated to fit exactly over rectangle PQRS.

• Rectangle ABCD is not similar to rectangle PQRS because their corresponding sides are not congruent, so rectangle ABCD cannot be dilated to fit exactly over rectangle PQRS.

Two objects that are the same shape but not the same size are _______.

• Congruent

• Vertical

• Similar

• Complementary 

The rectangles are similar.

Solve for x.

Mathematical Equivalence

ON

Sides in similar figures must be proportional.  

• True

• False 

What are similar shapes?

• Are shapes that have the same shape, but not necessarily the same size.

• Compares the sizes of the parts of the scale drawing to the actual sizes on the original object.

• They are sides that are in the same position in different plane figures. 

• They are sides that have different ratios.

What is a scale factor?

• Shapes that have the same shape, but not necessarily the same size.

• A ratio/number that compares the sizes of the parts of the scale drawings.

• They are sides that are in the same position in different plane figures.  

• The length of a side of a similar figure.

All corresponding sides are proportional (same ratio) in similar figures.

• True

• False

The following shapes are similar, the smaller one is the original shape, what is the scale factor?

• 8:12

• 3:2

• 4:8

• 6:12

If two similar rectangles have corresponding sides with a ratio of 2:3, what is the ratio of their areas?

• 4:5

• 4:9

• 2:3

• 5:9

The ratio of the areas of two similar rectangles is 1:4. What is the ratio of the corresponding sides?

• 1:6

• 1:8

• 1:2

• 1:4