Unit 4 Flashcard: Similar and Congruent 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 the ratios of the lengths of their corresponding sides are proportional.

Front

What are congruent figures?

Back

Congruent figures are shapes that are identical in shape and size. They can be superimposed on each other.

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal and the ratios of the lengths of their corresponding sides are equal.

Front

If two triangles are similar, what can you say about their corresponding sides?

Back

The lengths of their corresponding sides are in proportion.

Front

What is the scale factor in similar figures?

Back

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

Front

If triangle ABC is similar to triangle DEF, and the lengths of sides AB and DE are 4 cm and 8 cm respectively, what is the scale factor?

Back

The scale factor is 1:2.

Front

What is the relationship between the areas of two similar figures?

Back

The ratio of the areas of two similar figures is equal to the square of the ratio of their corresponding side lengths.

Front

If the sides of a triangle are in the ratio 3:4:5, what type of triangle is it?

Back

It is a right triangle.

Front

What is the formula to find the missing side in similar triangles?

Back

If triangle ABC is similar to triangle DEF, then (AB/DE) = (BC/EF) = (AC/DF).

Front

If two figures are not similar, what can you conclude about their angles and sides?

Back

If two figures are not similar, their corresponding angles are not equal, or the ratios of their corresponding sides are not equal.