Proving Similar Triangles

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but not necessarily the same size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

Which statement is NOT true about similar figures?

Back

B) Similar figures always have the same size.

Front

What does AA~ stand for in triangle similarity?

Back

AA~ stands for Angle-Angle similarity, which states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What does SSS~ stand for in triangle similarity?

Back

SSS~ stands for Side-Side-Side similarity, which states that if the corresponding sides of two triangles are in proportion, the triangles are similar.

Front

What does SAS~ stand for in triangle similarity?

Back

SAS~ stands for Side-Angle-Side similarity, which states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, the triangles are similar.

Front

Can you use SSS or SAS without checking the ratios of the sides?

Back

False. You must check the ratios of the sides to confirm similarity.

Front

How can you determine if two triangles are similar?

Back

You can determine if two triangles are similar by using AA~, SSS~, SAS~, or concluding that they are not similar.

Front

If two triangles have two pairs of equal angles, what can you conclude?

Back

The triangles are similar by AA~.

Front

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

Back

Yes, triangle A and triangle B are similar because their corresponding sides are in proportion (1:2).

Front

If triangle C has sides of 5, 12, and 13, and triangle D has sides of 10, 24, and 26, are they similar?

Back

Yes, triangle C and triangle D are similar by SSS~.