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Understanding: Congruence of Plane Figures, Line Segments and Angles Video Lecture | Mathematics Olympiad Class 7

24 videos|51 docs|112 tests

Timeline

00:03 Introduction
00:17 What is the condition for congruency?
00:36 Congruent figures
01:03 When are two figures congruent?
01:12 Examples of congruent figures
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FAQs on Understanding: Congruence of Plane Figures, Line Segments and Angles Video Lecture - Mathematics Olympiad Class 7

1. What is congruence of plane figures?
Ans. Congruence of plane figures refers to the property of two or more figures having the same shape and size. When two figures are congruent, their corresponding sides and angles are equal.
2. How can we determine if two line segments are congruent?
Ans. Two line segments are congruent if and only if they have the same length. We can measure the lengths of the line segments using a ruler or compare their lengths using the given measurements.
3. What are some properties of congruent angles?
Ans. Congruent angles have the same measure. They can be classified as corresponding angles, alternate interior angles, alternate exterior angles, or vertical angles. Congruent angles play an important role in proving various geometric theorems.
4. Can two figures be congruent if their shapes are different?
Ans. No, two figures cannot be congruent if their shapes are different. Congruence implies that the figures have the same shape and size. If the shapes are different, the figures cannot be congruent.
5. How can we prove that two figures are congruent?
Ans. Two figures can be proven to be congruent by showing that all their corresponding sides and angles are equal. This can be done using different congruence criteria such as SSS (side-side-side), SAS (side-angle-side), ASA (angle-side-angle), etc.
24 videos|51 docs|112 tests

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