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Congruence of Triangles Video Lecture - Class 9
FAQs on Congruence of Triangles Video Lecture - Class 9
| 1. What is congruence of triangles? |  |
Ans. Congruence of triangles refers to the condition when two triangles have exactly the same shape and size. In other words, if all the corresponding sides and angles of two triangles are equal, then they are said to be congruent.
| 2. How can we prove that two triangles are congruent? | |
Ans. Two triangles can be proved congruent using various methods, such as Side-Side-Side (SSS) congruence, Side-Angle-Side (SAS) congruence, Angle-Side-Angle (ASA) congruence, Angle-Angle-Side (AAS) congruence, and Hypotenuse-Leg (HL) congruence. These methods involve comparing the corresponding sides and angles of two triangles to establish their congruence.
| 3. What are the properties of congruent triangles? | |
Ans. The properties of congruent triangles include:
- Corresponding sides and angles of congruent triangles are equal.
- If two triangles are congruent, their corresponding angles are equal.
- If two triangles are congruent, their corresponding sides are equal.
- Congruent triangles have equal areas.
- Congruent triangles have equal perimeters.
| 4. How many pairs of congruent triangles can be formed using the given information? | |
Ans. The number of pairs of congruent triangles that can be formed depends on the given information. If the information provides enough details about the corresponding sides and angles of two triangles, then a pair of congruent triangles can be formed. However, if the information is insufficient, no congruent triangles can be determined.
| 5. Can two triangles with different shapes be congruent? | |
Ans. No, two triangles with different shapes cannot be congruent. Congruent triangles must have the same shape and size. If the shape of the triangles is different, it means that their corresponding sides and angles are not equal, and thus they cannot be congruent.
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