Exploring AA Similarity in Triangles

What is the definition of similar triangles?

• All corresponding angles are congruent and all corresponding sides are proportional.

• All corresponding angles are proportional and all corresponding sides are congruent.

• All corresponding angles and sides are equal.

• All corresponding angles and sides are proportional.

What is the AA similarity criterion?

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

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

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

• All angles and sides of one triangle are congruent to all angles and sides of another triangle.

In the GeoGebra activity, what remains congruent when the vertices of the triangles are dragged?

• The sides of the triangles.

• The angles of the triangles.

• The area of the triangles.

• The perimeter of the triangles.

Why do we only need to know two corresponding angles are congruent to prove triangle similarity?

• Because the triangles will have the same perimeter.

• Because the third angle theorem states the third angles must be congruent.

• Because the sides will automatically be proportional.

• Because the triangles will have the same area.

In Example 1, why is angle L congruent to itself?

• Because of the associative property.

• Because of the transitive property.

• Because of the reflexive property.

• Because of the symmetric property.

What do the little arrow marks on the lines indicate in Example 1?

• The lines are congruent.

• The lines are perpendicular.

• The lines are bisected.

• The lines are parallel.

In Example 1, which angles are congruent due to the parallel lines?

• Angle LPQ and angle LJK.

• Angle LPQ and angle LJP.

• Angle LPQ and angle LKP.

• Angle LPQ and angle LQJ.

In Example 2, what height does Tay prefer to return the ball?

• 42 inches

• 25 inches

• 11 inches

• 90 inches

How far is Tay standing from the short line in Example 2?

• 42 feet

• 11 feet

• 90 feet

• 25 feet

What is the final height in feet where the ball should hit the wall in Example 2?

• 25 feet

• 7.95 feet

• 42 feet

• 11 feet