# Mathematics Questions and Answers – Triangles – Similar Figures

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This set of Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Triangles – Similar Figures”.

1. Two congruent figures are similar when two similar figures are congruent.
a) True
b) False

Explanation: Two geometric figures are said to be similar if they are of same shape but different sizes and congruent if they have same shape and size.  The two rectangles shown are congruent because they have same shape and same size. These two figures can be termed similar because the ratio of both the figures is 1 : 1

2. The figure shown is congruent.  a) True
b) False

Explanation: The stars in the given figure are congruent because they are same shape and same size. Congruent figures have same shape and size. They also have a ratio of 1 : 1. The figures are an exact replica of each other.

3. The figure shown is similar.  a) True
b) False

Explanation: The two figures shown are similar because they have same shape but are different in sizes. The second pentagon is smaller in size as compared to a pentagon, but the basic structure of both the figures is same i.e. both are pentagon.
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4. Two geometric figures which have same shape and size are known as congruent.
a) False
b) True

Explanation: Geometric figures which have same shape and size are said to be congruent.  Here, ∆ABC is similar to ∆DEF because they are of same shape but different in sizes and their sides are in proportion. If they had same shape and size then the two triangles would have been congruent.

5. Two triangles are said to be equiangular if their corresponding angles are equal.
a) True
b) False

Explanation:  ∆ABC and ∆PQR are equiangular because their corresponding angles i.e. ∠B, ∠Q are equal.

6. An unshaven and shaven pencil is congruent.
a) False
b) True

Explanation: Two figure are said to be congruent if they have same shape and size. In case of a shaven and unshaven pencil, the shape and size of both pencils are not same. Hence, unshaven and shaven pencil are not congruent.

Sanfoundry Global Education & Learning Series – Mathematics – Class 10. 