3.3 Similar Triangles - Angles

Front

What are similar triangles?

Back

Triangles that have the same shape but may differ in size. Their corresponding angles are equal, and the ratios of their corresponding sides are proportional.

Front

What does AA∼ stand for in triangle similarity?

Back

AA∼ stands for 'Angle-Angle Similarity', a theorem stating that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What is the SAS∼ similarity theorem?

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

What is the SSS∼ similarity theorem?

Back

SSS∼ stands for 'Side-Side-Side Similarity', which states that if the corresponding sides of two triangles are proportional, then the triangles are similar.

Front

What is the Side Splitter Theorem?

Back

The Side Splitter Theorem states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.

Front

How can you determine if two triangles are similar?

Back

You can determine if two triangles are similar by checking if their corresponding angles are equal or if the sides are in proportion.

Front

If triangle A has angles of 30°, 60°, and 90°, what are the angles of a similar triangle?

Back

The angles of a similar triangle would also be 30°, 60°, and 90°.

Front

Are triangles with angles 45°, 45°, and 90° similar to triangles with angles 45°, 45°, and 90°?

Back

Yes, they are similar because all corresponding angles are equal.

Front

What does it mean for triangles to be congruent?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

If triangle A is similar to triangle B, and the length of a side in triangle A is 4 cm, what could be the length of the corresponding side in triangle B?

Back

The length of the corresponding side in triangle B could be any length that maintains the same ratio as the other sides of the triangles.