Exploring Triangle Similarity: AA, SSS, SAS

What is the first step in determining if two triangles are similar using the SAS theorem?

• Measure the area of the triangles

• Create proportions of corresponding sides

• Check if all angles are equal

• Check if all sides are equal

If two triangles have two pairs of proportional sides and an included angle, which theorem can be used to prove their similarity?

• Side-Side-Side (SSS)

• Angle-Side-Angle (ASA)

• Side-Angle-Side (SAS)

• Angle-Angle (AA)

What type of angles are always congruent and can be used to determine triangle similarity?

• Complementary angles

• Vertical angles

• Supplementary angles

• Adjacent angles

How do you find the third angle in a triangle if you know the other two angles?

• Add the two angles and subtract from 180

• Add the two angles and subtract from 360

• Multiply the two angles

• Divide the two angles

When using the SSS theorem, what must be true about the sides of the triangles?

• All sides must be equal

• All sides must be proportional

• All angles must be equal

• All angles must be proportional

What is the significance of parallel lines in determining triangle similarity?

• They create equal angles

• They create proportional sides

• They create equal sides

• They create congruent angles

If two triangles have proportional sides but the included angle is not congruent, are the triangles similar?

• Yes, by SSS theorem

• Yes, by SAS theorem

• No, because the included angle is not congruent

• No, because the sides are not equal

What is the result when you simplify the ratio 35/25?

• 1/5

• 7/5

• 5/1

• 5/7

What is a shared angle in the context of triangle similarity?

• An angle that is equal in both triangles

• An angle that is part of both triangles

• An angle that is supplementary in both triangles

• An angle that is complementary in both triangles

If two triangles have a pair of congruent vertical angles and proportional sides, what theorem can be used to prove their similarity?

• AA

• SAS

• ASA

• SSS