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 congruent, and their corresponding sides are in proportion.

Front

What is the relationship between the angles of similar triangles?

Back

In similar triangles, corresponding angles are congruent.

Front

How do you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

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 two triangles are similar, how can you find the length of a side in one triangle if you know the corresponding side in the other triangle?

Back

You can set up a proportion using the lengths of the corresponding sides and solve for the unknown length.

Front

What is the formula for finding the height of an object using similar triangles?

Back

Height = (Length of shadow of object) * (Height of reference object) / (Length of shadow of reference object).

Front

What does it mean for angles in similar figures to be congruent?

Back

It means that the angles have the same measure.

Front

Can two figures be similar if they are not the same shape?

Back

No, two figures must be the same shape to be considered similar, even if they are different sizes.

Front

What is an example of a real-world application of similar figures?

Back

Determining the height of a building using the length of its shadow and the height of a nearby object.

Front

What is the significance of corresponding sides in similar figures?

Back

Corresponding sides of similar figures are proportional, meaning the ratios of their lengths are equal.