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Chapter-9 Geometric Twins — Online MCQ Test

MATHS · Grade 7 · CBSE(NCERT)
Practice Chapter-9 Geometric Twins with a free chapter-wise online MCQ test. This chapter covers: congruence - SSS - SAS - ASA - RHS. AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter-9 Geometric Twins — Important Questions & Answers

What does the term 'congruent' mean in geometry?
  • A. Figures that have the same shape but different sizes
  • B. Figures that have exactly the same shape and size
  • C. Figures that have different shapes but equal areas
  • D. Figures that are similar but not identical
Answer: B. Figures that have exactly the same shape and size
Congruent figures have the same shape and size. When two figures are congruent, they can be superimposed on each other perfectly.
Which symbol is used to denote congruence between two figures?
  • A. =
  • B. ≈
  • C. ≅
  • D. ~
Answer: C. ≅
The symbol ≅ is used to denote congruence between two geometric figures.
Two triangles have all three sides equal. Which congruence criterion is satisfied?
  • A. SAS
  • B. ASA
  • C. SSS
  • D. RHS
Answer: C. SSS
When all three sides of one triangle are equal to the three sides of another triangle, the SSS (Side-Side-Side) criterion is satisfied.
If triangle ABC ≅ triangle XYZ, then which of the following is NOT necessarily true?
  • A. AB = XY
  • B. BC = YZ
  • C. Angle A = Angle X
  • D. Area of ABC = Area of XYZ and the perimeters are different
Answer: D. Area of ABC = Area of XYZ and the perimeters are different
If two triangles are congruent, their corresponding sides are equal, so their perimeters are also equal. The option stating different perimeters is incorrect.
Which statement about congruence is ALWAYS true?
  • A. Congruent triangles have equal areas but different perimeters
  • B. Congruent figures have equal areas and equal perimeters
  • C. Similar triangles are always congruent
  • D. Congruent triangles have different corresponding angles
Answer: B. Congruent figures have equal areas and equal perimeters
If two figures are congruent, they have the same shape and size, which means they have equal areas and equal perimeters.