Similarity MCQs Class 10 RS Aggarwal Goyal Brothers ICSE Maths Solutions Ch-15. Step by step solutions of Similarity MCQs questions as latest prescribe guideline for upcoming exam. Visit official Website CISCE for detail information about ICSE Board Class-10 Mathematics.
Similarity MCQs Class 10 RS Aggarwal Goyal Brothers ICSE Maths Solutions
| Board | ICSE |
| Subject | Maths |
| Class | 10th |
| Chapter-15 | Similarity |
| Writer/ Book | RS Aggarwal |
| Topics | Solution of MCQs |
| Academic Session | 2024-2025 |
MCQs on Similarity
Que-1: Figures which have exactly the same shape, but not necessarily the same ………….. are said to be similar.
(a) angle (b) side (c) size (d) volume
Sol: (c) size
Reason: If two figures have the same shape and size, they are said to be congruent. When two figures have the same shape but differ in size, they are said to be comparable.
Que-2: All regular polygons having the same number of ……….. are similar.
(a) side (b) angles (c) diagonals (d) centric
Sol: (a) side
Reason: Defining regular polygon:
1. The two regular polygons have the same number of sides.
2. Two regular polygons have the same internal angles.
Que-3: Two circles are always :
(a) congruent (b) similar (c) enlarged (d) concentric
Sol: (b) similar
Reason: Let us draw 2 circles to prove this question. From the figure, we can make out that both the circles have the same shape. But both the circles have the same shape. But both the circles are of different size. All circles have the same shape i.e. they are round. But the size of a circle may vary. Thus circles are similar.
Que-4: In size transformation, the given figure is called an object and the resulting figure is called its :
(a) pre-image (b) image (c) post-image (d) enlarge object
Sol: (b) image
Reason: In size transformation, the given figure is called an object and the resulting figure is called its image.
Que-5: Let k be the scale factor of a given size transformation. Then k<1 as the transformation is a/an :
(a) enlargement (b) identity transformation (c) reduction (d) preserved
Sol: (c) reduction
Reason: Let k be the scale factor of a given size transformation. Then k<1 as the transformation is a reduction.
Que-6: Each side of the resulting figure = ………… times the corresponding side of the given figure, where k is the scalar factor.
(a) k² (b) k (c) k³ (d) 2k
Sol: (b) k
Reason: Each side of the resulting figure k times the corresponding side of the given figure, where k is the scalar factor.
Que-7: The transformation is a/an ……….., if k=1, where k is the scalar factor of a given size transformation.
(a) identity transformation (b) reduction (c) enlargement (d) map
Sol: (a) identity transformation
Reason: The transformation is an identity transformation if k=1, where k is the scalar factor of a given size transformation.
Que-8: In case of solids, we have volume of the resulting figure = ……….. × (volume of the given figure), where k is the scalar factor.
(a) k (b) k² (c) k³ (d) 3k
Sol: (c) k³
Reason: In case of solids, we have volume of the resulting figure k³ × (volume of the given figure), where k is the scalar factor.
Que-9: if the scale factor, k = 1/p, then area of the model = ………. × (area of the actual figure).
(a) k² (b) k (c) k³ (d) 1/p
Sol: (a) k²
Reason: If k = 1/p
Area of the model = (1/p)² = 1/p² × area of actual figure
So, the correct answer is k².
Que-10: Let the map of the plane figure be drawn to the scale 1:p. Then scale factor, k = …………, length in the map = k × (Actual length).
(a) p/1 (b) 1/p (c) 1/k (d) k.
Sol: (b) 1/p
Reason: Let the map of the plane figure be drawn to the scale 1:p. Then scale factor, k = 1/p length in the map = k × (Actual length).
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