CBSE Class 7 Mathematics Geometric Twins MCQs Set 03

Question. If in ΔABC (AB=AC), ∠A = 120°, then the sum of ∠B and ∠C is
(a) 120°
(b) 60°
(c) 180°
(d) 90°

Answer: B

Question. If ∠A = 120° in isosceles ΔABC (AB=AC), then the measure of ∠B is
(a) 30°
(b) 40°
(c) 60°
(d) 80°

Answer: A

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

Answer: C

Question. If two figures are congruent, they can be superimposed exactly, this means
(a) One figure is bigger
(b) They overlap fully
(c) One figure is rotated only
(d) They have different sizes

Answer: B

Question. When using the AAS condition, how can we prove congruence using the ASA condition instead?
(a) By measuring the area
(b) By finding the third angle
(c) By flipping the triangle
(d) By checking the hypotenuse

Answer: B

Question. Which congruence condition is the special case of SSA where congruence is guaranteed?
(a) ASA
(b) SAS
(c) RHS
(d) SSS

Answer: C

Question. Which of these is NOT listed as a condition sufficient to guarantee congruence?
(a) AAA
(b) SSS
(c) AAS
(d) RHS

Answer: A

Question. If two triangles have two sides and a non-included angle equal (SSA), they are usually
(a) Always congruent
(b) Always non-congruent
(c) Not guaranteed to be congruent
(d) Similar

Answer: C

Question. In the construction of a triangle using SSA, two possible non-congruent triangles can result because the arc intersects the ray at how many points?
(a) One point
(b) Zero points
(c) Two points
(d) Three points

Answer: C

Question. The SSA condition does not guarantee congruence, but it does guarantee congruence in the special case of
(a) Equilateral triangles
(b) Isosceles triangles
(c) Right-angled triangles
(d) Scalene triangles

Answer: C

Question. If ΔABC is isosceles with ∠A = 80 degrees and AB = AC, then ∠B + ∠C is
(a) 180 degrees
(b) 80 degrees
(c) 100 degrees
(d) 40 degrees

Answer: C

Question. To check if two circles are congruent, the measurement we need is
(a) Area
(b) Circumference
(c) Diameter
(d) Radius

Answer: D

Question. To check if two rectangles are congruent, we must verify if they have the same
(a) Diagonal length only
(b) Area only
(c) Length and breadth
(d) Perimeter only

Answer: C

Question. For two triangles to be congruent by SSS condition, the required parts are
(a) Two sides and one angle
(b) Three angles
(c) Three sidelengths
(d) One side and two angles

Answer: C

Question. Meera said that sidelengths of a triangle are enough to construct a congruent triangle. This idea is captured by which condition?
(a) ASA
(b) SAS
(c) SSS
(d) RHS

Answer: C

Question. If two circles intersect at points E and F, and we construct triangles ΔABE and ΔABF, these two triangles are
(a) Always similar
(b) Always non-congruent
(c) Always congruent
(d) Always isosceles

Answer: C

Question. If ΔABC ≅ ΔXYZ, then ∠B and ∠Y are
(a) Opposite sides
(b) Included sides
(c) Corresponding angles
(d) Right angles

Answer: C

Question. If ΔABC ≅ ΔXYZ, which of the following is an incorrect way to write the congruence?
(a) ΔBCA ≅ ΔYZX
(b) ΔCAB ≅ ΔZXY
(c) ΔACB ≅ ΔXYZ
(d) ΔBAC ≅ ΔYXZ

Answer: C

Question. In a rectangle ABCD, ΔABD and ΔCDB are congruent. The common side that makes the SSS condition true is
(a) AB
(b) AD
(c) BD
(d) BC

Answer: C

Question. The SAS condition requires two sides and which angle to be equal for congruence?
(a) Opposite angle
(b) Largest angle
(c) Included angle
(d) Any angle

Answer: C