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 in proportion.

Front

What is the scale factor in similar triangles?

Back

The ratio of the lengths of corresponding sides of two similar triangles.

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal or if the lengths of their corresponding sides are proportional.

Front

What is a proportion?

Back

An equation that states that two ratios are equal.

Front

If triangle ABC is similar to triangle DEF, what can be said about their angles?

Back

Angle A = Angle D, Angle B = Angle E, Angle C = Angle F.

Front

If the sides of triangle ABC are 3, 4, and 5, and triangle DEF is similar to ABC with a scale factor of 2, what are the lengths of the sides of triangle DEF?

Back

The sides of triangle DEF are 6, 8, and 10.

Front

What is the formula for finding the scale factor?

Back

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

Front

Solve for k: 3/k = 15/5

Back

k = 1.

Front

If two triangles have sides in the ratio 2:3, what is the scale factor if the smaller triangle's side is 4?

Back

The scale factor is 2/3.

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.