CBSE Class 7 Mathematics Geometric Twins MCQs Set 02

Question. When checking for congruence, a figure can be manipulated by
(a) Only enlarging it
(b) Only shrinking it
(c) Rotating or flipping it
(d) Changing its shape only

Answer: C

Question. If ΔXYZ ≅ ΔABC, which vertex corresponds to Y?
(a) A
(b) B
(c) C
(d) X

Answer: B

Question. If ΔABC and ΔXYZ satisfy ASA with BC = YZ, the angles ∠B, ∠C, ∠Y, and ∠Z must be equal. This guarantees
(a) Similarity only
(b) Congruence
(c) Only equal area
(d) Only equal perimeter

Answer: B

Question. In an equilateral triangle, because all sides are equal, all three angles are also
(a) Different
(b) Unequal
(c) Equal
(d) Right angles

Answer: C

Question. The symbol used to write that two triangles, ΔABC and ΔXYZ, are congruent is
(a) ΔABC = ΔXYZ
(b) ΔABC ∼ ΔXYZ
(c) ΔABC ≅ ΔXYZ
(d) ΔABC → ΔXYZ

Answer: C

Question. When two sides and the included angle of two triangles are equal, the two triangles are
(a) Similar
(b) Non-congruent
(c) Congruent
(d) Equal in area

Answer: C

Question. RHS condition is a special case of the SSA condition that is guaranteed to result in
(a) Similarity
(b) Non-congruence
(c) Congruence
(d) Proportionality

Answer: C

Question. If triangle ABC is congruent to triangle XYZ, is it correct to write triangle ACB ≅ triangle XYZ?
(a) Yes, always correct
(b) Yes, sometimes correct
(c) No, it is incorrect
(d) Depends on the side lengths

Answer: C

Question. If in a rectangle ABCD, we consider triangle ABD and triangle CDB, the common side is
(a) AB
(b) CD
(c) BD
(d) AD

Answer: C

Question. For the SAS (Side Angle Side) condition, the angle must be the one which is
(a) Opposite to the shortest side
(b) Included between the two equal sides
(c) The largest angle
(d) A non-included angle

Answer: B

Question. If AB = XY = 6 cm, AC = XZ = 5 cm, and ∠A = ∠X = 30°, the triangles are congruent by which condition?
(a) SSS
(b) ASA
(c) SAS
(d) AAS

Answer: C

Question. The sum of the angles in any triangle is 180°. So, in an equilateral triangle, 3 x angle equals
(a) 90°
(b) 180°
(c) 360°
(d) 60°

Answer: B

Question. Each angle measure in an equilateral triangle is always
(a) 30°
(b) 60°
(c) 90°
(d) 45°

Answer: B

Question. In a rectangle ABCD, the diagonal BD divides the rectangle into two triangles. These two triangles are always
(a) Similar
(b) Equilateral
(c) Congruent
(d) Isosceles

Answer: C

Question. For the two triangles formed by the diagonal in a rectangle (like ΔABD and ΔCDB), the congruence condition used is
(a) SAS
(b) ASA
(c) SSS
(d) RHS

Answer: C

Question. If ΔABC and ΔXYZ satisfy the ASA condition with BC = YZ, then the two equal angles must be
(a) ∠A and ∠X
(b) ∠A and ∠Z
(c) ∠B and ∠Y, and ∠C and ∠Z
(d) ∠A and ∠Y

Answer: C

Question. If two triangles have AB = EF, AC = ED, and ∠A = ∠E, what is the congruence statement?
(a) ΔABC ≅ ΔDEF
(b) ΔABC ≅ ΔFED
(c) ΔABC ≅ ΔEFD
(d) ΔABC ≅ ΔFDE

Answer: C

Question. Since all sides of an equilateral triangle are equal, we can deduce that all three angles are also
(a) 90°
(b) Acute
(c) Equal
(d) Obtuse

Answer: C

Question. If two triangles ΔABC and ΔDEF have AB = EF, ∠A = ∠E, and AC = ED, are they congruent?
(a) Yes, by SSS
(b) Yes, by SAS
(c) No, correspondence is wrong
(d) Yes, by AAS

Answer: B

Question. If in the figure, O is the center and ∠A = 120°, ΔABC is an isosceles triangle because AB and AC are equal as they are
(a) Chords
(b) Radii
(c) Diameters
(d) Altitudes

Answer: B