Proportions and Similar Triangles

Front

What are similar triangles?

Back

Triangles that have the same shape but may differ in size. Their corresponding angles are equal, and the ratios of their corresponding sides are proportional.

Front

What is the scale factor in dilation?

Back

The ratio of the lengths of corresponding sides of the original figure to the dilated figure.

Front

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

Back

Their corresponding angles are equal.

Front

If the sides of two triangles are in the ratio 2:3, are the triangles similar?

Back

Yes, because the ratios of the corresponding sides are proportional.

Front

What is the relationship between the sides of similar polygons?

Back

The corresponding sides of similar polygons are proportional.

Front

How do you determine if two figures are similar?

Back

Check if their corresponding angles are equal and the ratios of their corresponding sides are proportional.

Front

What is the formula for finding the scale factor when dilating a figure?

Back

Scale Factor = Length of side in the image / Length of corresponding side in the original figure.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 8 cm, what is the scale factor?

Back

The scale factor is 2.

Front

What happens to the area of a shape when it is dilated by a scale factor of k?

Back

The area is multiplied by k².

Front

Fill in the blanks: In similar polygons, corresponding sides are ___ and corresponding angles are ___.

Back

proportional, congruent.