CBSE Class 7 Mathematics Geometric Twins MCQs Set A

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

Answer: C

Question. Congruence is a powerful tool used to study the properties of which type of geometric figures?
(a) Complex numbers
(b) Quadratic functions
(c) Isosceles triangles
(d) Quadrilaterals only

Answer: C

Question. In an isosceles ΔABC where AB = AC, the angles opposite to the equal sides (∠B and ∠C) are
(a) Equal
(b) Different
(c) Both right angles
(d) Opposite angles

Answer: A

Question. If ΔAOB ≅ ΔDOC, the sides AB and DC are corresponding sides, so their lengths are
(a) Half
(b) Double
(c) Equal
(d) Unknown

Answer: C

Question. When ΔAOB ≅ ΔDOC, the corresponding vertices are A and D, O and O, and
(a) B and A
(b) B and C
(c) C and D
(d) A and C

Answer: B

Question. If ΔABC and ΔXYZ have ∠A = ∠X, ∠C = ∠Z, and the non-included side BC = YZ, this condition is
(a) SSS
(b) AAS
(c) SAS
(d) ASA

Answer: B

Question. When measuring two sides and a non-included angle (SSA), can non-congruent triangles exist with the same measurements?
(a) No, never
(b) Yes, they can exist
(c) Only if the angle is 60°
(d) Only if the sides are small

Answer: B

Question. In the SSA construction where base PQ = 6 cm, ∠P = 30°, and an arc is drawn from Q (radius 4 cm), the arc intersects the line l at how many points?
(a) Only one point
(b) Exactly two points
(c) Three points
(d) Zero points

Answer: B

Question. If ΔABC ≅ ΔXYZ, can we write ΔACB ≅ ΔXYZ?
(a) Yes, always correct
(b) No, it is incorrect by convention
(c) Only if it is an equilateral triangle
(d) Depends on the size of the angle

Answer: B

Question. In a rectangle ABCD, when diagonal BD cuts it, the two triangles ΔABD and ΔCDB are congruent because BD is the
(a) Altitude
(b) Hypotenuse
(c) Common side
(d) Median

Answer: C

Question. The measure of each angle in an equilateral triangle is always
(a) 90°
(b) 45°
(c) 60°
(d) 180°

Answer: C

Question. The sum of angles in an equilateral triangle is 180°. So, if 3 x angle = 180°, the angle is
(a) 180°
(b) 90°
(c) 60°
(d) 45°

Answer: C

Question. The RHS congruence condition is specifically for which type of triangle?
(a) Isosceles triangle
(b) Equilateral triangle
(c) Right-angled triangle
(d) Acute triangle

Answer: C

Question. The RHS condition requires equality of the right angle, one side, and the
(a) Base
(b) Altitude
(c) Hypotenuse
(d) Perimeter

Answer: C

Question. RHS condition is a special guaranteed case of which generally non-guaranteed condition?
(a) ASA
(b) SSS
(c) AAA
(d) SSA

Answer: D

Question. In the figure where O is the midpoint of AD and BC, ∠AOB and ∠DOC are equal because they are
(a) Alternate angles
(b) Corresponding angles
(c) Vertically opposite angles
(d) Interior angles

Answer: C

Question. Using SAS condition with AO = OD, BO = OC, and ∠AOB = ∠DOC, we conclude that ΔAOB is congruent to
(a) ΔOAD
(b) ΔOBC
(c) ΔDOC
(d) ΔCBA

Answer: C

Question. If ΔXYZ ≅ ΔABC, the corresponding sides are XY and AB, YZ and BC, and XZ and
(a) AC
(b) CB
(c) BA
(d) YZ

Answer: A

Question. If ΔHEN ≅ ΔBIG, which angle is equal to ∠H?
(a) ∠B
(b) ∠I
(c) ∠G
(d) ∠N

Answer: A

Question. If two figures are congruent, they must fit exactly over each other when we try to
(a) Trace the outline
(b) Measure the perimeter
(c) Superimpose them
(d) Count the sides

Answer: C