The NCERT Solutions for Class 7 Mathematics Chapter 1 Geometric Twins cover every question from Ganita Prakash Part 2 for the 2026-27 session. The PDF explains congruent figures, matching parts, triangle rules and angle chasing in short steps that students can revise before class tests.
- 18 solved questions are included with expert explanations.
- SSS, SAS, ASA, AAS and RHS rules are used with clear matching order.
- The PDF keeps the NCERT figures beside the questions that need them.
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Student Feedback: In a Collegedunia classroom check, 73% of students said congruence questions became easier after they wrote the vertex order before applying a rule.
Class 7 Mathematics Chapter 1 Geometric Twins Solutions PDF
The Geometric Twins chapter asks students to decide when two figures are exactly the same in shape and size. These NCERT Solutions follow the textbook order and solve each question with the same logic a student should show in a notebook. The main idea is simple: if two figures are congruent, their matching sides and matching angles are equal.
The chapter also trains students to avoid a common mistake. A congruence statement is not just a decoration. In triangle ABC congruent to triangle PQR, the first letter matches the first letter, the second matches the second, and the third matches the third. That order decides which sides and angles can be compared.
What is Covered in Geometric Twins Chapter 1?
Geometric Twins starts with congruent shapes, then moves to triangles. Students compare circles, rectangles, quadrilaterals and triangles. They learn why a figure may look similar but still not be congruent. The solved PDF gives the measurement checks needed for each case, so students do not rely only on appearance.
The important triangle rules are SSS, SAS, ASA, AAS and RHS. The PDF also explains why SSA is not a fixed congruence rule. This point is useful because many students see two sides and one angle and quickly assume congruence. The chapter shows that the angle must be in the correct place.
How to Use These NCERT Solutions for Revision
Start by reading the question and marking all given equal parts. Then write the triangle names in the correct matching order. After that, choose the rule that actually fits the marked data. This habit keeps the solution neat and helps students get method marks even when the figure looks crowded.
For angle-chasing questions, write one small equation at a time. Use triangle angle sum, straight-line angle, full angle around a point and equal angles opposite equal sides. Do not jump straight to the final angle list. The PDF expands the longer angle chase in Question 18 so every value can be checked.
Geometric Twins Important Congruence Rules
| Rule | What it checks | Where students use it |
|---|---|---|
| SSS | Three matching sides are equal | Squares, triangles with side data |
| SAS | Two sides and the included angle are equal | Triangles with one angle between sides |
| ASA | Two angles and the included side are equal | Shared-side triangle questions |
| AAS | Two angles and a non-included side are equal | When one remaining angle is fixed by angle sum |
| RHS | Right angle, hypotenuse and one side are equal | Right triangle questions |
Students should also remember CPCT, which means corresponding parts of congruent triangles. Use CPCT only after proving that the triangles are congruent. It is the reason we can say that a remaining side or angle is equal.
Common Mistakes in Class 7 Geometric Twins
The most common mistake is changing the order of vertices midway. If the solution starts with triangle ABC and triangle DCB, keep that order while comparing every side and angle. Another mistake is using SSA as a rule. In this chapter, SSA is treated carefully because it does not always prove congruence.
In figure-based questions, keep the NCERT diagram open while reading the answer. The PDF places important figures near their questions. This helps students see why a pair of angles is equal, why a side is common, or why a straight line makes 180 degrees.
Check All Questions with Step-by-Step Answers
The interactive question page opens every solution in a clean card format. Students can first try the question, then reveal the solved answer and the expert explanation. This is useful for practice because it separates the first attempt from the final answer.
Open Geometric Twins Question Answers
Geometric Twins Video Explanation
Source: Magnet Brains on YouTube
Also Check Class 7 Mathematics Chapter 1 Resources
| Resource | Link |
|---|---|
| NCERT Notes | Geometric Twins Notes |
| Handwritten Notes | Geometric Twins Handwritten Notes |
| NCERT Book PDF | Geometric Twins NCERT Book PDF |
| Exemplar Solutions | Geometric Twins Exemplar Solutions |
Class 7 Mathematics NCERT Solutions Chapter Links
| Chapter | NCERT Solutions |
|---|---|
| Chapter 1 Geometric Twins | Open Solutions |
| Chapter 2 Operations with Integers | Open Solutions |
| Chapter 3 A Peek Beyond the Point | Open Solutions |
| Chapter 4 Expressions Using Letter-Numbers | Open Solutions |
Geometric Twins Mathematics NCERT Solutions FAQs
Ques. What is the main topic of Class 7 Mathematics Chapter 1 Geometric Twins?
Ans. The chapter explains congruent figures and congruent triangles. Students learn how to compare matching sides and angles.
Ques. Which congruence rules are used in Geometric Twins?
Ans. The main rules are SSS, SAS, ASA, AAS and RHS. The chapter also explains why SSA is not a sure rule.
Ques. Does this PDF include answers to all NCERT questions?
Ans. Yes. The PDF includes all 18 questions from Chapter 1 with detailed solutions and expert explanations.
Ques. How should students revise angle-chasing questions?
Ans. Students should write one equation at a time using triangle sum, straight lines and full angles around a point.
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