Criteria for Triangle Congruency

Tap or click on cards to flip them and reveal the answers. You can use arrow keys as well.

  • Loading folders...
1/15 cards
What is the meaning of triangle congruency?
Click to flip
Triangle congruency means two triangles are identical in shape and size, where their corresponding sides and angles are equal.
Click to flip
What is the SAS (Side-Angle-Side) congruency criteria?
Click to flip
SAS states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.
Click to flip
Describe the ASA (Angle-Side-Angle) criteria for congruency.
Click to flip
ASA states that two triangles are congruent if two angles and the side between those angles in one triangle are equal to two angles and the corresponding side in another triangle.
Click to flip
What is the RHS (Right angle-Hypotenuse-Side) congruency criterion?
Click to flip
RHS says that two right-angled triangles are congruent if the hypotenuse and one side of one triangle are equal to the hypotenuse and one side of the other triangle.
Click to flip
Explain the AAS (Angle-Angle-Side) congruency criterion.
Click to flip
AAS states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, the triangles are congruent.
Click to flip
What is meant by the SSS (Side-Side-Side) congruency criterion?
Click to flip
SSS states that if all three sides of one triangle are equal to the corresponding sides of another triangle, then the triangles are congruent.
Click to flip
How many criteria are there for triangle congruency?
Click to flip
There are five criteria for triangle congruency: SSS, SAS, ASA, AAS, and RHS.
Click to flip
Does SSA (Side-Side-Angle) prove triangle congruency?
Click to flip
No, SSA does not definitively prove triangle congruency because it does not always result in congruence.
Click to flip
Can congruent triangles have different areas?
Click to flip
No, congruent triangles have the same area because they are identical in shape and size.
Click to flip
What is the significance of congruent triangles in geometry?
Click to flip
Congruent triangles are used in proofs and constructions as they allow the application of properties of one triangle to another.
Click to flip
What must be true about corresponding sides in congruent triangles?
Click to flip
Corresponding sides in congruent triangles must be equal in length.
Click to flip
Why can't SSA be considered a congruency criterion?
Click to flip
SSA is not a reliable criterion because the same side lengths can produce different triangle shapes (ambiguous cases).
Click to flip
How does the ASA criterion ensure both congruency of angles and sides?
Click to flip
ASA establishes congruency by ensuring two angles and the included side are identical, leaving no other shape permutation possible.
Click to flip
What happens if two triangles fulfill the SSS criterion?
Click to flip
If two triangles fulfill the SSS criterion, they are congruent because all their corresponding sides are equal.
Click to flip
Does the presence of a right angle in two triangles guarantee their congruency?
Click to flip
Not by itself, but with equal length of the hypotenuse and one other side (RHS), congruency is ensured.
Click to flip

Need More Study Materials?

Go back to the chat to generate additional resources.

Create More Resources