7-3 Triangle Similarity AA, SSS, and SAS - GEOMETRY

The video tutorial reviews triangle similarity theorems, including angle-angle, side-side-side, and side-angle-side. It contrasts these with triangle congruence theorems and explains the properties of similarity: reflexive, symmetric, and transitive. The tutorial provides practical examples and tips for identifying similar triangles using these theorems.

What is the main difference between triangle congruence and similarity?

• Congruence requires proportional sides, while similarity requires all sides and angles to be equal.

• Congruence and similarity both require all sides and angles to be equal.

• Congruence requires all sides and angles to be equal, while similarity requires proportional sides and equal angles.

• Congruence requires all sides and angles to be equal, while similarity requires only angles to be equal.

According to the AA similarity theorem, what is needed to prove two triangles are similar?

• Two sides of one triangle are proportional to two sides of another triangle.

• Two angles of one triangle are congruent to two angles of another triangle.

• All three sides of one triangle are proportional to all three sides of another triangle.

• One angle and one side of one triangle are congruent to one angle and one side of another triangle.

How do you determine if two triangles are similar using the SSS similarity theorem?

• By checking if two angles of one triangle are congruent to two angles of another triangle.

• By checking if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

• By checking if all three sides of one triangle are proportional to all three sides of another triangle.

• By checking if all three sides of one triangle are equal to all three sides of another triangle.

What is the similarity ratio if the sides of two triangles are 2, 4, 3 and 4, 8, 6 respectively?

• 3/4

• 1/3

• 1/2

• 2/3

In the SAS similarity theorem, what must be true for two triangles to be similar?

• Two sides and the included angle of one triangle are proportional and congruent to two sides and the included angle of another triangle.

• One side and one angle of one triangle are congruent to one side and one angle of another triangle.

• All three sides of one triangle are proportional to all three sides of another triangle.

• Two angles of one triangle are congruent to two angles of another triangle.

Which property of similarity states that a triangle is similar to itself?

• Congruent Property

• Reflexive Property

• Transitive Property

• Symmetric Property

If triangle ABC is similar to triangle DEF, and triangle DEF is similar to triangle XYZ, what can be concluded?

• Triangle ABC is similar to triangle XYZ.

• Triangle DEF is congruent to triangle XYZ.

• Triangle ABC is congruent to triangle XYZ.

• Triangle ABC is not related to triangle XYZ.