Triangle Similarity Flashcard

Front

What is Triangle Similarity?

Back

Triangle similarity means that two triangles have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle similarity criterion. If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What does SAS stand for in triangle similarity?

Back

SAS stands for Side-Angle-Side similarity criterion. If two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, the triangles are similar.

Front

What does SSS stand for in triangle similarity?

Back

SSS stands for Side-Side-Side similarity criterion. If the corresponding sides of two triangles are in proportion, the triangles are similar.

Front

How can you determine if two triangles are similar?

Back

You can determine if two triangles are similar by using one of the similarity criteria: AA, SAS, or SSS.

Front

If two triangles have one angle of 60 degrees and another angle of 30 degrees, what can you conclude?

Back

The triangles are similar by the AA criterion, as they have two equal angles.

Front

If triangle ABC is similar to triangle DEF, what can you say about their corresponding sides?

Back

The corresponding sides of triangle ABC and triangle DEF are in proportion.

Front

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

Back

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

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 by the SSS criterion, as the sides are in proportion (1:2).

Front

What is the formula to find the missing side in similar triangles?

Back

If triangle A has sides a, b, c and triangle B has sides x, y, z, then a/x = b/y = c/z.