CBSE Class 7 Mathematics Geometric Twins MCQs Set 08

Question. Can we find two triangles that are not congruent, even if all three corresponding angles are equal?
(a) No, never
(b) Yes, they need not be congruent
(c) Only if they are equilateral
(d) Only if they are right triangles

Answer: B

Question. If two triangles have the same three angles, they have the same
(a) Size
(b) Shape
(c) Area
(d) Perimeter

Answer: B

Question. When measuring the angles of a triangle alone, you can draw many triangles that have the same shape but not the same
(a) Perimeter
(b) Angles
(c) Vertices
(d) Size

Answer: D

Question. If we have two sides and a non-included angle that are equal (SSA), what happens to congruence?
(a) Always congruent
(b) Always non-congruent
(c) Does not guarantee congruence
(d) Only guarantees equal area

Answer: C

Question. When constructing a triangle using SSA measurements (like AB=6 cm, AC=4 cm, Angle B=30 degrees), the arc intersects the line at two points, R and S. This means we can draw two triangles that are
(a) Always congruent
(b) Non-congruent
(c) Right-angled
(d) Equilateral

Answer: B

Question. In the figure where O is midpoint of AD and BC, which angles are equal because they are vertically opposite?
(a) Angle OAB and Angle ODC
(b) Angle AOB and Angle DOC
(c) Angle ABC and Angle DCB
(d) Angle BOC and Angle AOD

Answer: B

Question. In the figure with midpoint O, we have AO = OD, BO = OC, and Angle AOB = Angle DOC. Which congruence condition is satisfied?
(a) SSS
(b) ASA
(c) SAS
(d) AAS

Answer: C

Question. If two triangles are congruent by SAS rule (like triangle AOB ≅ triangle DOC), then the corresponding sides AB and DC must have
(a) Different lengths
(b) Equal lengths
(c) Half length
(d) Double length

Answer: B

Question. If we have two angles and a non-included side that are equal (AAS condition), is the congruence guaranteed?
(a) No, never
(b) Yes, always
(c) Only if the side is 4 cm
(d) Only if the angle is 90 degrees

Answer: B

Question. In RHS condition, the parts that must be equal are the right angle, one side, and the
(a) Base
(b) Hypotenuse
(c) Included angle
(d) Area

Answer: B

Question. RHS condition guarantees congruence, but only when the angle is
(a) Acute
(b) Obtuse
(c) Right angle (90 degrees)
(d) 30 degrees

Answer: C

Question. What can we say about the side lengths of an equilateral triangle?
(a) Two sides are equal
(b) All sides have equal lengths
(c) No sides are equal
(d) Sides are different

Answer: B

Question. The measure of each angle in an equilateral triangle is
(a) 90 degrees
(b) 45 degrees
(c) 60 degrees
(d) 120 degrees

Answer: C

Question. When two angles and the included side of two triangles are equal, the condition for congruence is referred to as
(a) AAS
(b) SSS
(c) ASA
(d) SSA

Answer: C

Question. The SSA condition for two triangles does not always guarantee
(a) Equal sides
(b) Congruence
(c) Equal perimeter
(d) Equal vertices

Answer: B

Question. If ABCD is a square, ΔABC ≅ ΔADC is true. Is ΔABC also congruent to ΔCDA?
(a) No, only ΔADC is correct
(b) Yes, if correct vertices correspond
(c) Only if it is a rectangle
(d) Never true

Answer: B

Question. Which of these is NOT a condition sufficient to guarantee congruence of two triangles?
(a) SSS
(b) SAS
(c) ASA
(d) AAA

Answer: D

Question. In ΔABC ≅ ΔXYZ, if side AC = 5 cm, then the corresponding side length is
(a) XY
(b) YZ
(c) XZ
(d) AB

Answer: C

Question. Figures that have same shape and size are said to be
(a) Similar figures
(b) Congruent figures
(c) Identical figures
(d) Geometric twins

Answer: B

Question. For ΔABD and ΔCDB in a rectangle, a correct correspondence of vertices is A and C, B and B, and D and D. This correspondence
(a) Lays AB over CB, which must be equal
(b) Lays AB over CB, which need not be equal
(c) Lays AB over DC, which must be equal
(d) Lays AD over CB, which need not be equal

Answer: B