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Congruency of Triangles - 2 Video Lecture | Mathematics (Maths) Class 9

FAQs on Congruency of Triangles - 2 Video Lecture - Mathematics (Maths) Class 9

1. What is congruency of triangles?
Ans. Congruency of triangles refers to the condition where two triangles have exactly the same shape and size. This means that all corresponding sides and angles of the triangles are equal.
2. How can we prove that two triangles are congruent?
Ans. There are several ways to prove the congruency of triangles. Some common methods include using the Side-Side-Side (SSS) criterion, the Side-Angle-Side (SAS) criterion, the Angle-Side-Angle (ASA) criterion, and the Hypotenuse-Leg (HL) criterion.
3. Can two triangles with different shapes be congruent?
Ans. No, congruency of triangles implies that the two triangles have exactly the same shape and size. If two triangles have different shapes, they cannot be congruent.
4. What is the importance of congruency of triangles?
Ans. Congruency of triangles is important in geometry as it helps in establishing equal relationships between corresponding sides and angles of triangles. It allows us to determine the equality of lengths and angles in various geometric figures and solve problems related to triangles.
5. Are congruent triangles always similar?
Ans. Yes, congruent triangles are always similar. Similarity refers to having the same shape, but not necessarily the same size. Since congruent triangles have exactly the same shape and size, they are also similar. However, similar triangles may not always be congruent.
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