Proving Congruence of Triangles: Criteria and Conditions

The video tutorial explains how to prove that two triangles are congruent using four criteria: side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), and right angle-hypotenuse-side (RHS). Each rule is detailed with examples, emphasizing the importance of reorienting shapes to identify congruence. The tutorial highlights the need to provide reasons for congruence in exams.

Which rule states that if all three sides of one triangle are equal to the corresponding sides of another triangle, the triangles are congruent?

• Side-Angle-Side (SAS)

• Angle-Side-Angle (ASA)

• Side-Side-Side (SSS)

• Right Angle-Hypotenuse-Side (RHS)

What is required for two triangles to be congruent under the Side-Angle-Side (SAS) rule?

• Two angles and a side

• Three sides

• Two sides and the included angle

• A right angle and two sides

Under the Angle-Side-Angle (ASA) rule, what must be equal in two triangles for them to be congruent?

• Two sides and the included angle

• Two angles and the included side

• Three sides

• A right angle and two sides

Which rule applies to right-angled triangles for proving congruence?

• Side-Angle-Side (SAS)

• Right Angle-Hypotenuse-Side (RHS)

• Angle-Side-Angle (ASA)

• Side-Side-Side (SSS)

In an exam, why is it important to provide the reason for triangle congruence?

• To make the answer longer

• To confuse the examiner

• To gain extra marks

• To show understanding of the concept