CBSE Class 7 Mathematics Geometric Twins MCQs Set 05

Question. If two triangles have the same three angles, they are said to have the same shape, but if they have different sizes, they are
(a) Congruent
(b) Not congruent
(c) Always equilateral
(d) Identical

Answer: B

Question. If only the three corresponding angles of two triangles are equal (AAA condition), does this guarantee congruence?
(a) Yes, always
(b) No, size is not fixed
(c) Only if all angles are acute
(d) Yes, because shape is the same

Answer: B

Question. The ASA condition guarantees that all triangles constructed with those measurements must be
(a) Right-angled
(b) Non-congruent
(c) Congruent
(d) Acute

Answer: C

Question. In the figure where point O is the midpoint of AD and BC, side AO and side OD are
(a) Different lengths
(b) Parallel
(c) Equal in length
(d) Perpendicular

Answer: C

Question. In ΔAOB and ΔDOC, since ∠AOB and ∠DOC are vertically opposite, they are
(a) Supplementary
(b) Equal angles
(c) Complementary
(d) Acute angles

Answer: B

Question. Since O is the midpoint of AD and BC, and ∠AOB = ∠DOC, the SAS condition shows that ΔAOB and ΔDOC are
(a) Similar
(b) Congruent
(c) Opposite
(d) Isosceles

Answer: B

Question. If ∠A = 35° and ∠C = 75° in ΔABC, what is the measure of ∠B?
(a) 110°
(b) 35°
(c) 70°
(d) 75°

Answer: C

Question. If ΔABC and ΔXYZ satisfy the AAS condition, we can find the third angle, and this makes the condition equivalent to
(a) SSS
(b) ASA
(c) RHS
(d) SAS

Answer: B

Question. The AAS (Angle Angle Side) condition for congruence always
(a) Does not work
(b) Guarantees congruence
(c) Works only if the side is opposite the larger angle
(d) Works only for isosceles triangles

Answer: B

Question. If ΔABC and ΔXYZ are right-angled triangles such that BC = YZ = 4 cm and hypotenuse AC = XZ = 5 cm, they are congruent by which rule?
(a) SAS
(b) SSS
(c) RHS
(d) ASA

Answer: C

Question. In isosceles ΔABC, if AB = AC, and we construct the altitude AD, then ΔADB ≅ ΔADC because they satisfy the
(a) ASA condition
(b) SSS condition
(c) RHS condition
(d) AAS condition

Answer: C

Question. The congruence established between ΔADB and ΔADC in an isosceles triangle shows that ∠B and ∠C are equal because they are
(a) Base angles
(b) Corresponding parts of congruent triangles
(c) Right angles
(d) Vertically opposite angles

Answer: B

Question. If ΔABC is an equilateral triangle, it means that all the sides have
(a) Parallel lengths
(b) Different lengths
(c) Equal lengths
(d) Proportional lengths

Answer: C

Question. If figures have same shape and same size, and they can be rotated or flipped to fit exactly over each other, they are called
(a) Twin figures
(b) Identical figures
(c) Similar figures
(d) Congruent figures

Answer: D

Question. If triangle HEN is congruent to triangle BIG (written as ΔHEN ≅ ΔBIG), which angle must be equal to ∠N?
(a) ∠I
(b) ∠G
(c) ∠B
(d) ∠H

Answer: B

Question. If ΔAIR ≅ ΔFLY, the corresponding vertices are A and F, I and L, and R and
(a) A
(b) R
(c) Y
(d) F

Answer: C

Question. If two triangles have same set of three angles, they need not be congruent because they might have the same shape but different
(a) Perimeters
(b) Size
(c) Vertices
(d) Area

Answer: B

Question. The congruence condition for two angles and the included side is called
(a) AAS
(b) SSS
(c) SAS
(d) ASA

Answer: D

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

Answer: D

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

Answer: C