Class 10 Exam > Class 10 Videos > 03 - Criteria For Similarity & Congruence - Class 10 - Maths
03 - Criteria For Similarity & Congruence - Class 10 - Maths Video Lecture
FAQs on 03 - Criteria For Similarity & Congruence - Class 10 - Maths Video Lecture
| 1. What is the difference between similarity and congruence in mathematics? |  |
Ans. Similarity and congruence are both concepts used to compare geometric figures. In similarity, two figures have the same shape but may differ in size. On the other hand, congruence refers to two figures that have the same shape and size. So, similarity deals with proportional relationships, while congruence deals with identical relationships.
| 2. How do we determine if two triangles are similar? | |
Ans. Two triangles are considered similar if their corresponding angles are congruent and their corresponding sides are proportional. This can be checked using the angle-angle criterion, side-side-side criterion, or side-angle-side criterion. If any of these criteria are met, the triangles are similar.
| 3. Can two congruent triangles always be similar? | |
Ans. Yes, if two triangles are congruent, then they are also similar. This is because congruent triangles have the same shape and size, which satisfies the criteria for similarity. However, it is important to note that not all similar triangles are congruent.
| 4. How can we prove that two triangles are congruent? | |
Ans. There are several methods to prove triangle congruence. The most commonly used ones are the Side-Angle-Side (SAS), Angle-Side-Angle (ASA), Side-Side-Side (SSS), and Hypotenuse-Leg (HL) congruence criteria. By showing that the corresponding sides and angles of two triangles satisfy these criteria, we can prove that the triangles are congruent.
| 5. Are all corresponding parts of similar triangles proportional? | |
Ans. Yes, all corresponding parts of similar triangles are proportional. This means that the lengths of corresponding sides are in the same ratio, and the measures of corresponding angles are equal. This property is fundamental to the concept of similarity and is used to solve various geometric problems involving similar triangles.
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Nov 22, 2024 Last updated |
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