Class 7 Maths Ganita Prakash Part 2 Chapter 1 MCQs – Geometric Twins

Use these Geometric Twins Class 7 MCQ questions to check how well you understand congruent figures, shapes that are exact copies of each other. Geometric Twins is Chapter 1 of Class 7 Maths Ganita Prakash Part 2 and it explains which measurements are enough to prove two triangles congruent. The questions cover the SSS, SAS, ASA, AAS and RHS conditions, why SSA can fail, matching corresponding vertices, and the angles of isosceles and equilateral triangles. Attempt each one before checking the answer.

Geometric Twins Class 7 MCQ Questions with Answers

Class 7 Maths Part 2 Chapter 1 MCQs Set 1

Q1. Which description is sufficient for two figures to be congruent?

[A]. They have the same colour.
[B]. They have the same shape but different sizes.
[C]. They have the same shape and size.
[D]. They have equal perimeters only.

Q2. A paper figure is rotated and then flipped without stretching or cutting it. How does the new figure compare with the original?

[A]. It cannot be congruent after a flip.
[B]. It is congruent to the original.
[C]. It must be larger.
[D]. It must have a different shape.

Q3. A two-arm sign has AB = 4 cm and BC = 8 cm. Which additional measurement fixes its shape and size?

[A]. The colour of point A
[B]. The difference BC − AB
[C]. The angle ∠ABC between the arms
[D]. The sum AB + BC

Q4. Which pair of circles is congruent?

[A]. A circle of radius 4 cm and a circle of diameter 4 cm
[B]. Circles with the same centre but different radii
[C]. Circles of radii 4 cm and 8 cm
[D]. Two circles each of radius 4 cm

Q5. Which rectangle is congruent to a rectangle with side lengths 4 cm and 8 cm?

[A]. A rectangle with side lengths 6 cm and 6 cm
[B]. A rectangle with side lengths 8 cm and 4 cm
[C]. A rectangle with side lengths 4 cm and 10 cm
[D]. A rectangle with side lengths 2 cm and 16 cm

Class 7 Maths Part 2 Chapter 1 MCQs Set 2

Q6. Two triangles each have side lengths 4 cm, 6 cm and 8 cm. Which condition establishes their congruence?

[A]. AAA
[B]. Equal perimeter alone
[C]. SSA in every case
[D]. SSS

Q7. AB = 6 cm. Circles centred at A and B have radii 4 cm and 8 cm and intersect at E and F on opposite sides of AB. What is true about triangles ABE and ABF?

[A]. Only their perimeters are equal; they cannot be congruent.
[B]. They are congruent by SSS.
[C]. They become congruent only if E and F coincide.
[D]. They have different side lengths.

Q8. If ΔABC ≅ ΔXYZ, which side corresponds to BC?

[A]. YZ
[B]. AB
[C]. XY
[D]. XZ

Q9. The correspondence in ΔHEN ≅ ΔBIG is H ↔ B, E ↔ I and N ↔ G. Which statement preserves this correspondence?

[A]. ΔNEH ≅ ΔGIB
[B]. ΔNEH ≅ ΔBIG
[C]. ΔNEH ≅ ΔIBG
[D]. ΔNEH ≅ ΔGBI

Q10. ABCD is a rectangle with AB ≠ BC and vertices named in order. Its diagonal BD forms two triangles. Which correctly ordered congruence statement follows by SSS?

[A]. ΔABD ≅ ΔCDB
[B]. ΔABD ≅ ΔBCD
[C]. ΔABD ≅ ΔDCB
[D]. ΔABD ≅ ΔCBD

Class 7 Maths Part 2 Chapter 1 MCQs Set 3

Q11. In quadrilateral ABCD, AB = AD and CB = CD. The diagonal AC lies inside the quadrilateral. Which conclusion follows?

[A]. AB must equal CB.
[B]. ∠BAD must be 90°.
[C]. AC must be shorter than every side.
[D]. AC divides both ∠BAD and ∠BCD into equal parts.

Q12. Two triangles each have angles 30°, 70° and 80°. What can be concluded from these angle measurements alone?

[A]. Their corresponding sides must be equal.
[B]. They must be congruent by SSS.
[C]. They must both be equilateral.
[D]. They need not be congruent because their sizes may differ.

Q13. AB = XY = 6 cm, AC = XZ = 5 cm and ∠A = ∠X = 30°. Which condition proves ΔABC ≅ ΔXYZ?

[A]. RHS
[B]. SAS
[C]. AAA
[D]. Two sides alone

Q14. Two triangles have corresponding side lengths 6 cm and 4 cm and a corresponding 30° angle not included between those sides. Which statement is correct in general?

[A]. They always guarantee congruence by SAS.
[B]. They guarantee congruence by AAA.
[C]. They make every such triangle right-angled.
[D]. These measurements do not guarantee congruence.

Q15. BC = YZ = 5 cm, ∠B = ∠Y = 50° and ∠C = ∠Z = 30°. Which congruence condition applies directly?

[A]. RHS
[B]. SSA
[C]. ASA
[D]. SSS

Class 7 Maths Part 2 Chapter 1 MCQs Set 4

Q16. In triangle ABC, ∠A = 35° and ∠C = 75°. What is ∠B?

[A]. 70°
[B]. 110°
[C]. 75°
[D]. 35°

Q17. In two triangles, two corresponding angles and a corresponding side not included between them are equal. Which conclusion is valid?

[A]. Only SSA is satisfied.
[B]. The triangles can never be congruent.
[C]. The triangles are congruent by AAS.
[D]. Their sizes are always different.

Q18. Segments AD and BC intersect at O, with AO = OD and BO = OC. Which fact completes an SAS proof that ΔAOB ≅ ΔDOC?

[A]. AO = BO because O is on both segments.
[B]. ∠AOB = 90° because the segments intersect.
[C]. ∠AOB = ∠DOC because they are vertically opposite angles.
[D]. AB = BC because all intersecting segments have equal lengths.

Q19. Triangles ABC and DBC share side BC. If ∠ABC = ∠DBC and ∠ACB = ∠DCB, which statement follows?

[A]. Both triangles must be right-angled.
[B]. AB must equal BC.
[C]. ΔABC ≅ ΔDBC by ASA.
[D]. The triangles must have different areas.

Q20. Two right-angled triangles have equal hypotenuses of 5 cm and one corresponding leg of 4 cm. Which condition guarantees congruence?

[A]. RHS
[B]. AAA only
[C]. Equal perimeter only
[D]. SSA without any right-angle condition

Class 7 Maths Part 2 Chapter 1 MCQs Set 5

Q21. Triangle ABC is right-angled at B. Which side is its hypotenuse?

[A]. AC
[B]. The shorter of AB and BC
[C]. BC
[D]. AB

Q22. In triangle ABC, AB = AC and ∠A = 80°. What are ∠B and ∠C?

[A]. 50° and 50°
[B]. 80° and 80°
[C]. 40° and 60°
[D]. 80° and 20°

Q23. In an isosceles triangle ABC, AB = AC. AD is perpendicular to BC and D lies on BC. Which conclusion follows from ΔADB ≅ ΔADC by RHS?

[A]. AD = BC
[B]. AB = BC
[C]. ∠A = 90°
[D]. BD = DC

Q24. What is the measure of each angle in an equilateral triangle?

[A]. 120°
[B]. 60°
[C]. 45°
[D]. 90°

Q25. A is the centre of a circle, B and C lie on the circle, and ∠BAC = 120°. What is ∠ABC?

[A]. 45°
[B]. 30°
[C]. 60°
[D]. 120°

Class 7 Maths Part 2 Chapter 1 MCQs Set 6

Q26. If ΔAIR ≅ ΔFLY, which side is equal to IR as a corresponding side?

[A]. FY
[B]. LY
[C]. FL
[D]. AI

Q27. Triangles ABC and EFD satisfy AB = EF, AC = ED and ∠A = ∠E. Which correctly ordered statement follows?

[A]. ΔABC ≅ ΔEDF by SAS.
[B]. ΔABC ≅ ΔDEF by RHS.
[C]. ΔABC ≅ ΔEFD by SAS.
[D]. ΔABC ≅ ΔFED by SSS.

Q28. Triangles ABC and FDE have ∠B = ∠D = 90°, AB = FD and AC = FE. Which condition proves ΔABC ≅ ΔFDE?

[A]. RHS
[B]. ASA from the given measurements
[C]. AAA alone
[D]. SSS from the given measurements

Q29. ABCD is a square named in order. Besides ΔABC ≅ ΔADC, which statement is also correct?

[A]. ΔABC ≅ ΔCAD
[B]. ΔABC ≅ ΔDAC
[C]. ΔABC ≅ ΔCDA
[D]. ΔABC ≅ ΔACD

Q30. A 5 × 5 grid of unit squares has its central square removed. The remaining region is divided into 6 congruent pieces. What must be the area of each piece?

[A]. 5 square units
[B]. 24 square units
[C]. 6 square units
[D]. 4 square units

Take Your Geometric Twins Revision Further

After solving these Geometric Twins MCQs, go back to every question you got wrong and find the exact reason. In this chapter, most slips come from reading a condition carelessly. Two sides and a non-included angle form the SSA case, which does not guarantee congruence, and three pairs of equal angles fix only the shape of a triangle, not its size. Writing the matching vertices in order before you pick an option avoids many errors. Triangles also appear in A Tale of Three Intersecting Lines from Part 1 and congruence returns in Constructions and Tilings, so use the Class 7 Maths MCQ page to practise those chapters next. If your school numbers both parts together, you will see this chapter listed as Chapter 9.

MCQs show whether you can recognise the right condition, but the Figure it Out questions in Ganita Prakash Part 2 Chapter 1 expect complete reasoning. You may need to list the equal sides and angles, name the congruence condition and then use the fact that corresponding parts of congruent triangles are equal to find another side or angle. The NCERT Solutions for Class 7 Maths set out these steps clearly, so you can compare your method with a full answer and see where a reason was missing. Try each textbook question yourself first, check it against the solution, and then return to the MCQs above. This cycle of attempting, checking and re-testing helps the congruence rules stay with you.