Compare Proportional Similarity Triangles

If two triangles satisfy the SSS Similarity Theorem, what can you say about their corresponding sides?

• Their corresponding sides are congruent

• Their corresponding sides are in proportion to each other.

• Their corresponding sides are perpendicular

• Their corresponding sides are parallel

State the SSS Similarity Theorem.

• If the corresponding sides of two triangles are equal, then the triangles are similar.

• If the corresponding sides of two triangles are not in proportion, then the triangles are similar.

• If the corresponding angles of two triangles are in proportion, then the triangles are similar.

• If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Explain how you can use the SSS Similarity Theorem to determine if two triangles are similar.

• Check if the triangles have the same perimeter

• Count the number of sides in each triangle and compare them

• To determine if two triangles are similar using the SSS Similarity Theorem, you need to compare the ratios of the corresponding sides of the two triangles. If the ratios are equal, then the triangles are similar.

• Measure the angles of the triangles and compare them

What are the conditions for two triangles to be similar according to the SSS Similarity Theorem?

• The triangles must have the same area

• The triangles must have the same perimeter

• The triangles must have the same interior angles

• The conditions for two triangles to be similar according to the SSS Similarity Theorem are that the corresponding sides of the triangles are in the same proportion.

Given ∆ABC ~ ∆LMN, what is the length of segment AC?

• 11

• 12

• 22

• 24

• A

• B

• C

• D

• E

If two triangles satisfy the SSS Similarity Theorem, what can you say about their corresponding angles and sides?

• Corresponding angles are congruent and corresponding sides are not proportional.

• Corresponding angles are not congruent and corresponding sides are proportional.

• Corresponding angles are not congruent and corresponding sides are not proportional.

• Corresponding angles are congruent and corresponding sides are proportional.

How is the SSS Similarity Theorem different from the SSS Congruence Theorem?

• The SSS Similarity Theorem deals with congruence of triangles based on proportional sides, while the SSS Congruence Theorem deals with similarity of triangles based on congruent sides.

• The SSS Similarity Theorem states that all sides of the triangles are equal, while the SSS Congruence Theorem states that only two sides and the included angle are equal.

• The SSS Similarity Theorem only applies to right-angled triangles, while the SSS Congruence Theorem applies to all types of triangles.

• The SSS Similarity Theorem deals with similarity of triangles based on proportional sides, while the SSS Congruence Theorem deals with congruence of triangles based on congruent sides.

Provide an example of how to apply the SSS Similarity Theorem to determine if two triangles are similar.

• An example of applying the SSS Similarity Theorem is to compare two triangles with side lengths of 3, 4, 5 and 6, 8, 10. By comparing the ratios of the corresponding sides (3/6, 4/8, 5/10), we can determine if the triangles are similar.

• Using the Pythagorean Theorem to determine if the triangles are similar

• Measuring the area of the two triangles to determine their similarity

• Comparing the angles of the two triangles to see if they are congruent

If two triangles satisfy the SSS Similarity Theorem, what can you say about their corresponding angles?

• Their corresponding angles are parallel.

• Their corresponding angles are perpendicular.

• Their corresponding angles are equal.

• Their corresponding angles are congruent.