Congruence Of Triangles — Chapter Summary
NIOS · Class 10 · Maths
Summary of Congruence Of Triangles for NIOS Class 10 Maths. Part of the NIOS Class 10 Maths syllabus. Congruent figures have the same shape and the same.
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Overview
Congruent figures have the same shape and the same size. In triangles, congruence means that all corresponding sides and angles are equal. Only three corresponding parts are needed to prove triangle congruence, provided they satisfy one of the four criteria: SAS, ASA/AAS, SSS, or RHS. After congruen
Key Concepts
Congruent figures have both the same
Congruent figures have both the same shape and the same size. When one is placed over the other, they exactly cover each other.
Line segments are congruent if they
Line segments are congruent if they have equal lengths, squares are congruent if their side lengths are equal, and circles are congruent if their radi
If triangle PQR is congruent
If triangle PQR is congruent to triangle XYZ, then P corresponds to X, Q to Y, and R to Z. Therefore PQ = XY, QR = YZ, PR = XZ and the corresponding a
If two sides and the included
If two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle, then the triangle
If two angles and one side
If two angles and one side of one triangle are equal to the corresponding two angles and side of another triangle, then the triangles are congruent. I
Learning Objectives
- Understand the meaning of congruence for simple figures and triangles
- Identify corresponding sides and corresponding angles in congruent triangles
- Use the four triangle congruence criteria: SAS, ASA/AAS, SSS, and RHS
- Apply congruence to prove equal sides and equal angles in triangles
- Use properties of isosceles and equilateral triangles
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Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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