CBSE Class 7 Mathematics Geometric Twins MCQs Set 10

Question. If in a square ABCD, we compare ΔABC and ΔADC, the side AC acts as a
(a) Transversal
(b) Common side
(c) Altitude
(d) Parallel line

Answer: B

Question. For a square ABCD, ΔABC is congruent to ΔADC. Can ΔABC also be congruent to ΔCDA?
(a) No, ΔCDA is different
(b) Yes, if the correspondence is correct
(c) Only if it is a rhombus
(d) Only if ∠A = 90 degrees

Answer: B

Question. If A is the centre of the circle and ∠A = 120°, ΔABC is an isosceles triangle because AB and AC are both
(a) Diameters
(b) Chords
(c) Radii
(d) Tangents

Answer: C

Question. The Louvre Museum pyramid and the Howrah Bridge use congruent triangles in their designs, showing congruence in
(a) Ancient times only
(b) Modern times only
(c) Various constructions and designs
(d) Only flat surfaces

Answer: C

Question. If ΔAIR ≅ ΔFLY, then side AI corresponds to side
(a) LY
(b) AR
(c) FL
(d) IR

Answer: C

Question. If ΔAIR ≅ ΔFLY, then ∠A corresponds to
(a) ∠L
(b) ∠F
(c) ∠Y
(d) ∠I

Answer: B

Question. Congruence is a powerful tool used to discover important properties of geometric figures, such as those of
(a) Quadratic equations
(b) Isosceles triangles
(c) Parallel lines only
(d) Circles only

Answer: B

Question. In an isosceles triangle ΔABC with AB = AC, the angles opposite to the equal sides (∠B and ∠C) must be
(a) 90 degrees
(b) 60 degrees
(c) Equal
(d) Opposite

Answer: C

Question. If ΔABC is isosceles and ∠B = 40 degrees, and AB = AC, then ∠C is
(a) 100 degrees
(b) 40 degrees
(c) 80 degrees
(d) 140 degrees

Answer: B

Question. In the figure where O is the midpoint of AD and BC, which pair of segments have equal lengths?
(a) AB and CD
(b) AC and BD
(c) AO and OC
(d) OB and OD

Answer: A

Question. In the figure where O is the midpoint of AD and BC, congruence ΔAOB ≅ ΔDOC is established using which congruence condition?
(a) SSS
(b) AAS
(c) SAS
(d) RHS

Answer: C

Question. If two angles and a non-included side are equal (AAS), the triangles are
(a) Not congruent
(b) Always congruent
(c) Sometimes congruent
(d) Similar only

Answer: B

Question. If we only measure the three angles of a triangle (like 30°, 70°, 80°), can we draw an exact copy?
(a) Yes, size is fixed
(b) No, size is not fixed
(c) Only if all angles are 60 degrees
(d) Only if one side is known

Answer: B

Question. The congruence condition for two sides and the included angle is called
(a) SSA
(b) AAS
(c) SAS
(d) AAA

Answer: C

Question. For SAS rule, if two sides AB and AC are equal to sides XY and XZ, the angle that must be equal is
(a) ∠B and ∠Y
(b) ∠C and ∠Z
(c) ∠A and ∠X
(d) ∠B and ∠Z

Answer: C

Question. If two sides and a non-included angle of one triangle are equal to the corresponding parts of another triangle, the triangles
(a) Must be congruent
(b) Need not be congruent
(c) Must be right-angled
(d) Must be equilateral

Answer: B

Question. Figures having same shape and same size are called
(a) Twin figures
(b) Equal figures
(c) Congruent figures
(d) Similar figures

Answer: C

Question. The condition which guarantees congruence when all three corresponding side lengths are equal is
(a) ASA
(b) AAS
(c) SSS
(d) SAS

Answer: C

Question. Congruent triangles can be seen in the design of the Louvre Museum in Paris and which structure in Kolkata, India?
(a) Victoria Memorial
(b) Rabindra Setu or Howrah Bridge
(c) Gateway of India
(d) Red Fort

Answer: B

Question. Which of these is a sufficient condition to guarantee congruence of two triangles?
(a) AAA
(b) SSA
(c) SAS
(d) SAA

Answer: C