This formative helps students understand different methods to prove triangle congruence: SSS, SAS, ASA, AAS, and HL. It includes real-world applications and theoretical problems.
Question 1
1.
Which pair of triangles is congruent by Side-Angle-Side (SAS)?
Question 2
2.
If two triangles have two equal sides and an equal included angle, what congruence theorem guarantees that they are congruent?
Question 3
3.
Which pairs of triangles can be proven congruent using the Side-Side-Side (SSS) congruence theorem?
Question 4
4.
What is the minimum information needed to prove two triangles are congruent using the SSS theorem?
Question 5
5.
A farmer wants to build two triangular garden beds. The first triangle has sides measuring {a}m, {b}m, and {c}m. The second triangle also needs to be congruent with the first one using the SSS theorem. What should the side lengths of the second triangle be?
Question 6
6.
If Triangle A and Triangle B have angles {angle3}° and {angle4}°, and a non-included side of {s}cm, can we say they are congruent by the AAS theorem?
Question 7
7.
For two right triangles, if the hypotenuse is {hypotenuse}cm and one leg is {leg}cm, they are congruent by which theorem?