Congruence Overlapping Triangles

For which situation could you prove the two triangles congruent using the HL Theorem?

• I only

• II only

• III only

• II and III

Explain the concept of CPCTC in the context of proving triangles congruent.

• CPCTC states that if two triangles are congruent, then their corresponding parts (sides and angles) are also congruent.

• CPCTC states that if two triangles are congruent, then their corresponding parts are sometimes congruent.

• CPCTC states that if two triangles are congruent, then their corresponding parts are not congruent.

• CPCTC states that if two triangles are congruent, then their corresponding parts are only congruent if the triangles are isosceles.

What are the steps involved in proving two triangles congruent using the Hypotenuse-Leg (HL) method?

• Use the Angle-Side-Angle (ASA) method instead

• Identify the equilateral triangles

• Check if the hypotenuse and one leg of one triangle are congruent to the other two sides of the other triangle

• 1. Identify the right-angled triangles. 2. Check if the hypotenuse and one leg of one triangle are congruent to the hypotenuse and one leg of the other triangle. 3. If they are congruent, then the triangles are proven to be congruent using the HL method.

Which triangle congruence theorem can be used to prove the triangles are congruent?

• SAS

• Not enough information

• SSS

• AAS

Triangles BDC and CEB share side (a)  

What is statement #4?

Step 6, complete the congruence statement and give the reason.

• CXA, HL

• CAX, HL

• CAX, ASA

• CXA, ASA

What is the reason for Step 8?

• ASA

• SAS

• SSS

• AAS

• SAS

• AAS

• SSS

• AAA

The red (ΔKNM) and blue (ΔPLM) triangles are congruent. Identify a common side or angle.

• Angle M

• Angle P

• Angle K

• Angle MLP