Similar Triangles

Front

What does it mean for two shapes to be similar?

Back

Same shape, but different size.

Front

Are the triangles similar if their corresponding angles are equal?

Back

Yes

Front

What are corresponding angles?

Back

Angles that are in the same position in similar figures.

Front

In similar triangles, what is true about the lengths of corresponding sides?

Back

They are proportional.

Front

If triangle ABC is similar to triangle DEF, what can we say about angle A and angle D?

Back

Angle A is congruent to angle D.

Front

If two triangles have one angle equal and the sides including that angle are in proportion, what can we conclude?

Back

The triangles are similar.

Front

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

Back

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

Front

If the sides of triangle XYZ are 3, 4, and 5, and triangle PQR is similar to it with a side of 6, what is the length of the corresponding side in triangle PQR?

Back

The corresponding side is 6.

Front

What is the scale factor in similar triangles?

Back

The ratio of the lengths of corresponding sides.

Front

If triangle GHI is similar to triangle JKL and the scale factor is 2:3, what does this mean?

Back

For every 2 units in triangle GHI, there are 3 units in triangle JKL.