similar shapes

Front

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

Back

Similar

Front

What is the definition of similar shapes?

Back

Similar shapes have the same shape but different sizes, with corresponding angles equal and corresponding sides in proportion.

Front

What is the ratio of the lengths of corresponding sides in similar shapes?

Back

The ratio of the lengths of corresponding sides in similar shapes is constant.

Front

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

Back

The corresponding angles of similar triangles are equal.

Front

If the sides of two similar shapes are in the ratio 2:3, what does this mean?

Back

It means that for every 2 units of length in one shape, there are 3 units of length in the other shape.

Front

Are the following shapes similar? Triangle with sides 3, 4, 5 and Triangle with sides 6, 8, 10? Why or why not?

Back

Yes, they are similar because the sides are in the ratio 1:2.

Front

What is the term for shapes that are the same size and shape?

Back

Congruent.

Front

If two shapes are similar, what can we say about their areas?

Back

The ratio of their areas is the square of the ratio of their corresponding sides.

Front

If the ratio of the sides of two similar rectangles is 1:4, what is the ratio of their areas?

Back

The ratio of their areas is 1:16.

Front

What is a scale factor in similar shapes?

Back

A scale factor is the ratio of the lengths of corresponding sides of two similar shapes.