Similar Figures

Front

Shapes that are the same shape AND the same size are _______.

Back

Congruent

Front

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

Back

Similar

Front

Matching sides are called...

Back

Corresponding Sides

Front

If two triangles are similar, what can we say about their angles?

Back

Their corresponding angles are equal.

Front

If the sides of two similar figures are in the ratio 2:3, what is the ratio of their areas?

Back

The ratio of their areas is 4:9.

Front

A triangle has sides of lengths 3 cm, 4 cm, and 5 cm. If a similar triangle has a longest side of 10 cm, what are the lengths of the other two sides?

Back

The other two sides are 6 cm and 8 cm.

Front

What is the scale factor if two similar figures have corresponding sides of lengths 5 cm and 15 cm?

Back

The scale factor is 1:3.

Front

If a rectangle has a length of 8 cm and a width of 4 cm, what are the dimensions of a similar rectangle with a scale factor of 2?

Back

The dimensions are 16 cm and 8 cm.

Front

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture & set up a proportion)

Back

32 feet.

Front

What does it mean for two figures to be similar?

Back

They have the same shape but not necessarily the same size.