Similar Triangles

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 does it mean for sides in similar figures to be proportional?

Back

It means that the ratios of the lengths of corresponding sides of the triangles are equal.

Front

Are all angles in similar triangles congruent?

Back

True. All corresponding angles in similar triangles are equal.

Front

If Triangle ABC is similar to Triangle XYZ, and the length of side AB is 10 and side XY is 5, what is the ratio of their sides?

Back

The ratio of their sides is 10:5 or 2:1.

Front

If two triangles are similar, how can you find the length of an unknown side?

Back

You can set up a proportion using the lengths of the corresponding sides.

Front

Given that Triangle ABC is similar to Triangle XYZ, if angle A = 50°, what is angle X?

Back

Angle X = 50° (corresponding angles are equal in similar triangles).

Front

If the sides of Triangle ABC are 6, 8, and 10, what are the sides of a similar triangle with a scale factor of 2?

Back

The sides of the similar triangle would be 12, 16, and 20.

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 ABC is similar to Triangle XYZ and the length of side AC is 12 and side YZ is 8, what is the scale factor?

Back

The scale factor is 12:8 or 3:2.

Front

If Triangle ABC is similar to Triangle XYZ and the area of Triangle ABC is 50 square units, what is the area of Triangle XYZ if the scale factor is 2?

Back

The area of Triangle XYZ is 50 * (2^2) = 200 square units.