How do you determine two triangles are similar using angle angle aa

The video tutorial explains how to determine if two triangles are similar. It begins by discussing the concept of triangle similarity and the importance of proving similarity rather than congruence. The tutorial then introduces the angle-angle similarity theorem, which states that if two angles of one triangle are congruent to two angles of another triangle, the triangles are similar. The video provides a step-by-step guide on how to use this theorem to prove the similarity of triangles, emphasizing the need for only two congruent angles to establish similarity.

Which theorem is used to prove that two triangles are congruent?

• Side-Angle-Side

• Angle-Angle-Angle

• Side-Side-Side

• Angle-Angle

What is the main difference between similar and congruent triangles?

• Congruent triangles have the same shape, similar triangles do not.

• Congruent triangles have the same size, similar triangles have the same size and shape.

• Similar triangles have the same shape, congruent triangles have the same shape and size.

• Similar triangles have the same size, congruent triangles do not.

What does the angle-angle similarity criterion state?

• Two triangles are similar if they have two pairs of congruent sides.

• Two triangles are similar if they have three pairs of congruent angles.

• Two triangles are similar if they have one pair of congruent angles.

• Two triangles are similar if they have two pairs of congruent angles.

If triangle ABC is similar to triangle DEF, what can be said about their angles?

• All angles in triangle ABC are larger than those in triangle DEF.

• All angles in triangle ABC are smaller than those in triangle DEF.

• Corresponding angles in triangle ABC and triangle DEF are congruent.

• Corresponding angles in triangle ABC and triangle DEF are different.

How many pairs of congruent angles are needed to prove two triangles are similar using the angle-angle criterion?

• Three pairs

• Two pairs

• No pairs

• One pair