CBSE Class 7 Mathematics Geometric Twins MCQs Set G

Question. The convention for writing congruence (like triangle ABC ≅ triangle XYZ) means the first vertex of triangle ABC corresponds to the
(a) Second vertex of triangle XYZ
(b) Third vertex of triangle XYZ
(c) First vertex of triangle XYZ
(d) Middle side of triangle XYZ

Answer: C

Question. In a right-angled triangle, the side opposite to the right angle is called the
(a) Base
(b) Perpendicular
(c) Hypotenuse
(d) Adjacent side

Answer: C

Question. The congruence condition specifically for two right-angled triangles is known as
(a) SAS
(b) SSS
(c) AAS
(d) RHS

Answer: D

Question. Rabia used a construction method where the circle arcs intersected at two points (E and F), forming two triangles. These two triangles, triangle ABE and triangle ABF, are actually
(a) Similar
(b) Non-congruent
(c) Congruent
(d) Opposite

Answer: C

Question. If two sides and the included angle of two triangles are equal, the condition is referred to as
(a) AAS
(b) SAS
(c) SSS
(d) AAA

Answer: B

Question. The SAS (Side Angle Side) condition for congruence always
(a) Does not guarantee congruence
(b) Requires a right angle
(c) Guarantees congruence
(d) Only works for isosceles triangles

Answer: C

Question. For SAS condition, the angle must be the one that is located
(a) Opposite to the biggest side
(b) Included between the two equal sides
(c) Non-included angle
(d) The largest angle

Answer: B

Question. If two triangles are congruent because they have same side lengths, what is the congruence rule?
(a) Angle Side Angle
(b) Side Side Side
(c) Side Angle Side
(d) Right Hypotenuse Side

Answer: B

Question. When two triangles are congruent, their respective angles are
(a) Not equal
(b) Always 90 degrees
(c) Equal
(d) Opposite to each other

Answer: C

Question. If AB = 4 cm and BC = 8 cm, we can construct many symbols which are
(a) Congruent
(b) Identical
(c) Non-congruent
(d) Equal in angle

Answer: C

Question. If we are given ∠A = ∠D, ∠B = ∠E, and AC = DF, which condition proves congruence?
(a) SAS
(b) SSS
(c) AAS
(d) ASA

Answer: C

Question. If it is given that AB = DF, ∠B = ∠F, and AC = DE, we cannot guarantee congruence because the angle is
(a) Non-included
(b) Too small
(c) 90 degrees
(d) Common

Answer: A

Question. To prove AAS condition (∠A=∠X, ∠C=∠Z, BC=YZ) leads to congruence, we first find the measure of the third angle. The third angle ∠B equals ∠Y because the sum of angles in a triangle is
(a) 90°
(b) 360°
(c) 180°
(d) 270°

Answer: C

Question. Once the third angle is found, the AAS case converts into which guaranteed congruence case?
(a) SSS
(b) RHS
(c) ASA
(d) SAS

Answer: C

Question. If triangle ABD ≅ triangle CDB is the congruence statement, we must overlap vertex A over vertex
(a) B
(b) D
(c) C
(d) None of these

Answer: C

Question. If ΔAIR ≅ ΔFLY, which angle corresponds to ∠R?
(a) ∠F
(b) ∠L
(c) ∠Y
(d) ∠I

Answer: C

Question. The SSA condition does not always guarantee congruence, except in special cases like
(a) Acute triangles
(b) Scalene triangles
(c) Right-angled triangles
(d) Obtuse triangles

Answer: C

Question. In a right-angled triangle, the hypotenuse is the side located
(a) Opposite to an acute angle
(b) Adjacent to the right angle
(c) Opposite to the right angle
(d) The shortest side

Answer: C

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

Answer: C

Question. Because the SSA condition can result in two non-congruent triangles, we say that SSA condition does not guarantee
(a) Equal perimeter
(b) Equal sides
(c) Congruence
(d) Parallel lines

Answer: C