Similar Triangles

Front

What is the definition of similar triangles?

Back

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

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 triangles.

Front

If triangle A has sides of length 3, 4, and 5, and triangle B has sides of length 6, 8, and 10, are these triangles similar?

Back

Yes, triangle A and triangle B are similar because the sides are in proportion (scale factor of 2).

Front

What does it mean for two shapes to be congruent?

Back

Two shapes are congruent if they are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

Are all congruent shapes also similar?

Back

True. All congruent shapes are similar because they have the same shape and size.

Front

Are all similar shapes also congruent?

Back

False. Similar shapes can have the same shape but different sizes.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

If the scale factor of two similar triangles is 3, what is the ratio of their areas?

Back

The ratio of their areas is 3^2 = 9.

Front

How do you find the length of a side in a similar triangle?

Back

To find the length of a side in a similar triangle, use the scale factor to multiply or divide the corresponding side length.

Front

If triangle C has a side length of 5 and is similar to triangle D with a scale factor of 4, what is the corresponding side length in triangle D?

Back

The corresponding side length in triangle D is 5 * 4 = 20.