Special Triangles Similar

• 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

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.

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

What type of special triangle is this?

• 45°-45°-90°

• 30°-60°-90°

• Isosceles

• Obtuse

Find x.

• 10

• 20