Similar and Special Right Triangles

What is the name of the theorem that asserts two triangles are similar if they have two pairs of corresponding angles that are equal?

• Side-Side-Side (SSS) Similarity Theorem

• Side-Angle-Side (SAS) Similarity Theorem

• Angle-Angle (AA) Similarity Theorem

• Angle-Side-Angle (ASA) Similarity Theorem

What theorem asserts that two triangles are similar if their corresponding sides are in the same ratio?

• Side-Side-Side (SSS) Similarity Theorem

• Angle-Side-Angle (ASA) Theorem

• Side-Angle-Side (SAS) Theorem

• Angle-Angle (AA) Theorem

Which theorem states that if two triangles have one angle equal and the sides around these angles are in proportion, then the triangles are similar?

• Side-Angle-Side (SAS) Similarity Theorem

• Angle-Side-Angle (ASA) Congruence Theorem

• Side-Side-Side (SSS) Similarity Theorem

• Angle-Angle (AA) Congruence Theorem

Determine if the triangles are similar. If they are, select the correct similarity criterion.

• Yes, by SSS

• Yes, by AA

• No, they are not similar.

• Yes, by SAS

State if the triangles are similar. If so, choose the similarity statement.

• Not similar, sides are not congruent

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Determine if the triangles are similar.

• No, they are not similar because they are congruent.

• Yes, by AA since:

  < S = <F and < R = <E

• Yes, by AA since:

  < S = <E and < R = <F

• Yes, by SAS since two angles are congruent and all sides

Find the missing side lengths.

Find the missing side lengths.

• 2

State if the two triangles are similar and by which theorem

• No, triangles are not similar

• Yes, by AA because angle L is congruent to angle E and angle G is congruent to angle is congruent to angle N

• Yes, by SSS

• No because angles F and N are not congruent