Similar Triangles

Front

What are similar triangles?

Back

Triangles that have the same shape but may differ in size.

Front

What is the criterion for triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

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

Back

All corresponding angles in similar triangles are congruent.

Front

If triangle ABC is similar to triangle DEF, what can be said about the sides?

Back

The ratios of the lengths of corresponding sides are equal.

Front

What does it mean for two shapes to be similar?

Back

Same shape, but different size.

Front

Are the triangles with angles 30°, 60°, and 90° similar to triangles with angles 30°, 60°, and 90°?

Back

Yes, they are similar because their angles are congruent.

Front

If triangle XYZ has sides of lengths 3, 4, and 5, what are the lengths of the sides of a similar triangle with a scale factor of 2?

Back

6, 8, and 10.

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 side lengths.

Front

If triangle ABC is similar to triangle DEF and the length of side AB is 10 and side DE is 5, what is the scale factor?

Back

The scale factor is 1:2.

Front

True or False: All angles in similar figures are congruent.

Back

True.