Geometric Twins — Chapter Summary
CBSE · Class 7 · Mathematics
Summary of Geometric Twins for CBSE Class 7 Mathematics. Part of the CBSE Class 7 Mathematics 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. They can be placed one over the other so that every part matches exactly. In triangles, congruence can be checked using fixed measurements such as three sides, two sides and the included angle, two angles and a side, or in special right triang
Key Concepts
Figures are congruent when they have
Figures are congruent when they have the same shape and the same size. One figure can be rotated or flipped and then placed exactly over the other.
If two triangles have the same
If two triangles have the same three side lengths, then they are congruent.
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, the triangles are
If two sides and a non
If two sides and a non-included angle are equal, congruence is not guaranteed. More than one triangle may be possible.
If two angles and the included
If two angles and the included side of one triangle are equal to the corresponding parts of another triangle, the triangles are congruent.
Learning Objectives
- Understand the meaning of congruent figures
- Identify when two triangles are congruent
- Use SSS, SAS, ASA, AAS, and RHS conditions
- Recognise when SSA does not guarantee congruence
- Find corresponding sides, angles, and vertices in congruent triangles
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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