Similar Figures

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is the relationship between the sides of similar figures?

Back

The ratios of the lengths of corresponding sides of similar figures are equal.

Front

If two triangles are similar, what can be said about their angles?

Back

If two triangles are similar, their corresponding angles are equal.

Front

What does it mean for two shapes to be congruent?

Back

Two shapes are congruent if they are the same shape and size, meaning all corresponding sides and angles are equal.

Front

How can you determine if two figures are similar?

Back

To determine if two figures are similar, check if their corresponding angles are equal and the ratios of their corresponding sides are equal.

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures.

Front

If the scale factor of two similar triangles is 2:3, what does this imply about their areas?

Back

The areas of the two triangles will be in the ratio of the squares of the scale factor, so the area ratio will be 4:9.

Front

What is the significance of the statement 'these two triangles are NOT similar'?

Back

This statement indicates that the triangles do not have equal corresponding angles or proportional corresponding sides.

Front

How do you find a missing side length in similar figures?

Back

To find a missing side length in similar figures, set up a proportion using the lengths of the corresponding sides.

Front

What is the definition of proportional sides?

Back

Proportional sides are sides of two or more figures that maintain a constant ratio to each other.