Proving Triangle Similarity: AA, SAS, and SSS Methods

What is the main topic of Mrs. Gray's geometry lesson?

• Finding the perimeter of triangles

• Calculating the area of triangles

• Proving triangles are similar

• Proving triangles are congruent

Which similarity postulate uses two sets of corresponding angles?

• Angle-Side-Angle (ASA)

• Angle-Angle (AA)

• Side-Side-Side (SSS)

• Side-Angle-Side (SAS)

If angle A is congruent to angle D and angle B is congruent to angle E, which triangles are similar?

• Triangle ACD and Triangle BEF

• Triangle ABE and Triangle CDF

• Triangle ABD and Triangle CEF

• Triangle ABC and Triangle DEF

What is the similarity theorem that uses two sides and the included angle?

• Side-Side-Side (SSS)

• Angle-Angle (AA)

• Side-Angle-Side (SAS)

• Angle-Side-Angle (ASA)

In the SAS similarity theorem, what must be true about the sides?

• They must be parallel

• They must be perpendicular

• They must have the same scale factor

• They must be congruent

If AB/DE = 1/2 and BC/EF = 1/2, and angle B is congruent to angle E, what can be concluded?

• Triangles are similar by AA

• Triangles are not similar

• Triangles are similar by SAS

• Triangles are congruent

Which similarity theorem requires all three sets of corresponding sides to have the same scale factor?

• Angle-Angle (AA)

• Side-Angle-Side (SAS)

• Angle-Side-Angle (ASA)

• Side-Side-Side (SSS)

If AB/DE = 1/2, BC/EF = 1/2, and AC/DF = 1/2, what can be concluded?

• Triangles are not similar

• Triangles are congruent

• Triangles are similar by SAS

• Triangles are similar by SSS

What is the scale factor if AB = 4, DE = 8, BC = 3, and EF = 6?

• 3/4

• 2/3

• 1/2

• 1/3

What is the final similarity theorem discussed in the video?

• Angle-Side-Angle (ASA)

• Side-Angle-Side (SAS)

• Angle-Angle (AA)

• Side-Side-Side (SSS)