# NCERT Class 7 Mathematics Chapter 9 Geometric Twins Solutions: In-Text and Exercise Questions Explained | SwaVid

Here are the questions and step-by-step solutions from Chapter 9, "Geometric Twins" (ज्यामितीय युग्म), of the NCERT Class 7 Mathematics textbook "Ganita...

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# Geometric Twins

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## Related chapters

Chapter 9 · Class 7 Mathematics

Here are the questions and step-by-step solutions from Chapter 9, "Geometric Twins" (ज्यामितीय युग्म), of the NCERT Class 7 Mathematics textbook "Ganita Prakash-II", as found in the official PDF: https://ncert.nic.in/textbook/pdf/gegp201.pdf.

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Page 131 - Try These

Answer: (i) Congruent (ii) Congruent (iii) Congruent (iv) Congruent (v) Not necessarily congruent (vi) Congruent (vii) Congruent (viii) Not necessarily congruent (ix) Not necessarily congruent (x) Congruent (xi) Congruent (xii) Congruent

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Page 145 - Exercise 9.1

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- Understand the definition of congruence: Two figures are congruent if they have the same shape and the same size. This means one figure can be perfectly superimposed on the other.
- Evaluate each option based on this definition:
- (i) Two squares of the same side length: If their side lengths are equal, they will have the same shape (square) and size. So, they are congruent.
- (ii) Two circles of the same radius: If their radii are equal, they will have the same shape (circle) and size. So, they are congruent.
- (iii) Two equilateral triangles of the same side length: All equilateral triangles have the same shape (all angles are 60°). If their side lengths are equal, their sizes will also be the same. So, they are congruent.
- (iv) Two rectangles of the same length and breadth: If their lengths and breadths are equal, they will have the same shape (rectangle) and size. So, they are congruent.
- (v) Two triangles of the same area: Triangles can have the same area but different shapes (e.g., a tall, thin triangle and a short, wide triangle can have the same area). So, they are not necessarily congruent.
- (vi) Two line segments of the same length: If their lengths are equal, they can be perfectly superimposed. So, they are congruent.
- (vii) Two angles of the same measure: If their measures are equal, they can be perfectly superimposed. So, they are congruent.
- (viii) Two rhombuses of the same side length: Rhombuses with the same side length can have different angles (e.g., a square is a rhombus, but a rhombus with 30° angles is not congruent to a square). So, they are not necessarily congruent.
- (ix) Two parallelograms of the same side lengths: Parallelograms with the same side lengths can have different angles. So, they are not necessarily congruent.
- (x) Two cubes of the same side length: If their side lengths are equal, they will have the same shape (cube) and size. So, they are congruent.
- (xi) Two spheres of the same radius: If their radii are equal, they will have the same shape (sphere) and size. So, they are congruent.
- (xii) Two cylinders of the same radius and height: If their radii and heights are equal, they will have the same shape (cylinder) and size. So, they are congruent.
- NCERT Class 7 Mathematics textbook: Ganita Prakash-II : Chapter 9: Geometric Twins

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