Similar Triangles and Proportions Flashcard

Front

What are similar triangles?

Back

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

Front

What is the definition of proportional sides in similar triangles?

Back

Proportional sides are sides of similar triangles that maintain a constant ratio to each other.

Front

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

Back

The corresponding angles of similar triangles are congruent.

Front

What is the scale factor in similar triangles?

Back

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

Front

How do you find the missing side in similar triangles?

Back

Use the proportion of the corresponding sides to set up a ratio and solve for the missing side.

Front

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

Back

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

Front

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

Back

The scale factor is 2:1.

Front

In similar polygons, corresponding sides are ___ and corresponding angles are ___.

Back

Proportional; congruent.

Front

What is the formula to calculate the area of a triangle?

Back

Area = 1/2 * base * height.

Front

If the scale factor of two similar triangles is 1/2, how does this affect their areas?

Back

The area of the smaller triangle will be 1/4 of the area of the larger triangle.