5.6 HW - 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 in proportion.

Front

What is the AA criterion for triangle similarity?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar (AA ~).

Front

What is the SSS criterion for triangle similarity?

Back

If the lengths of the corresponding sides of two triangles are in proportion, the triangles are similar (SSS ~).

Front

What is the SAS criterion for triangle similarity?

Back

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 (SAS ~).

Front

How do you determine if triangles are similar?

Back

Check if they meet the AA, SSS, or SAS criteria.

Front

If triangle A has sides of length 3, 4, and 5, and triangle B has sides of length 6, 8, and 10, are they similar?

Back

Yes, they are similar because the sides are in proportion (2:1).

Front

What is a proportion in the context of similar triangles?

Back

A statement that two ratios are equal, often used to compare the lengths of corresponding sides of similar triangles.

Front

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

Back

30°, 60°, and 90° (the angles remain the same in similar triangles).

Front

Solve for x if triangle A has sides 5, 12, and x, and triangle B has sides 10, 24, and 20. What is x?

Back

x = 15 (the triangles are similar, and the sides are in proportion).

Front

What does it mean if two triangles are not similar?

Back

It means they do not have the same shape; their corresponding angles are not equal, and their sides are not in proportion.