Congruence Theorems Easy

Which theorem states that if two triangles have a pair of corresponding congruent sides, a pair of corresponding congruent angles, and another pair of corresponding congruent sides, then the triangles are congruent?

• Angle-Side-Angle

• Side-Side-Side

• Angle-Angle-Side

• Side-Angle-Side

In the Angle-Angle-Side theorem, how are the congruent angles positioned?

• They are consecutive

• They are opposite

• They are adjacent

• They are random

Which theorem states that if two triangles have a pair of corresponding congruent angles, a pair of corresponding congruent sides, and another pair of corresponding congruent angles, then the triangles are congruent?

• Side-Side-Side

• Angle-Side-Angle

• Angle-Angle-Side

• Side-Angle-Side

How many triangle congruence theorems are there?

• 3

• 4

• 5

• 6

Why does the Angle-Side-Side theorem not work as a triangle congruence theorem?

• The angles are not congruent

• The sides are not congruent

• The second congruent side can be in different positions

• The theorem is not applicable to triangles

Which one of these is NOT one of the theorems or postulates used to prove two triangles congruent?

• ASA

• SSS

• SSA

• HL

What theorem can be used to prove that the two triangles are congruent?

• AAS

• ASA

• SSS

• HL

Determine if the two triangles are congruent. If they are, state how you know.

• Not enough information

• HL

• ASA

• AAS

Counterfeit products are a real problem for manufacturers. Some products are easy to spot, others are very close. The counterfeit logo is based upon a person measuring an angle and two sides (as shown) thinking the triangles would be the same. Explain what alternative measures could have been taken and why (which theorems or postulates) this would be a better copy. Come up with at least two different ways to prove triangles are the same.

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• 5

• 6