Similarity Unit Review

Front

What is the definition of similar triangles?

Back

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

Front

What conditions must be met for two triangles to be similar?

Back

The conditions for two triangles to be similar are that their corresponding angles must be congruent, and their corresponding sides must be proportional.

Front

If the ratio of the measures of the sides of a triangle is 4:9:8, how do you find the lengths of the sides if the perimeter is known?

Back

To find the lengths of the sides, first determine the total parts of the ratio (4 + 9 + 8 = 21). Then, divide the perimeter by the total parts to find the value of one part. Multiply each part of the ratio by this value to find the lengths of the sides.

Front

What does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle, which is a criterion for triangle similarity stating that if two angles of one triangle are congruent to two angles of another triangle, the triangles are similar.

Front

What is the Triangle Proportionality Converse theorem?

Back

The Triangle Proportionality Converse theorem states that if a line divides two sides of a triangle proportionally, then it is parallel to the third side.

Front

How do you determine if two triangles are similar using the SSS similarity criterion?

Back

To determine if two triangles are similar using the SSS (Side-Side-Side) similarity criterion, check if the ratios of the lengths of corresponding sides are equal.

Front

What is the significance of corresponding angles in similar triangles?

Back

Corresponding angles in similar triangles are significant because they are equal, which is a key condition for establishing triangle similarity.

Front

How can you find the shortest side of a triangle given the side ratios and perimeter?

Back

To find the shortest side, first calculate the total ratio parts, then divide the perimeter by the total parts to find the value of one part, and finally multiply the shortest ratio part by this value.

Front

What is the relationship between the sides of similar triangles?

Back

The sides of similar triangles are proportional, meaning the ratio of the lengths of corresponding sides is constant.

Front

What is the definition of proportional sides in triangles?

Back

Proportional sides in triangles refer to the lengths of corresponding sides that maintain a constant ratio across similar triangles.