Question

Assertion : Two figures having the same shape but not necessarily the same size are called similar figures.
Reason : All the congruent figures are similar but the converse is not true.​

Answer 1

Answer:

SAS: If the ratio of two corresponding sides are equal and their included angle is equal. Now, we are given the statement that “All congruent figures are similar, but the similar figures are not congruent” which is true by seeing the above explanation. Hence, option (c) is the correct answer.

Step-by-step explanation:

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Answer 2

Assertion: Two figures having the same shape but not necessarily the same size are called similar figures.

Reason: All the congruent figures are similar but the converse is not true.​

The Assertion is false but the reason is true.

• If two figures have the same shape and size, they are congruent.  

• If two angles have the same measure, they are congruent. If two figures are comparable in structure and not necessarily in size, they are known to be identical.

• Despite the fact that congruent items are similar, their orientation and physical appearance in the 3D (3-dimensional) plane will be different. To determine whether two items are similar, there are a few guidelines to follow:

• If two angles are equivalent,

        i. AA.

        ii. SSS: If the ratios of three comparable sides are equal.

       iii. SAS: If the ratio of two adjacent sides is the same and their included angle is the same.

Therefore, All congruent figures are similar, but the similar figures are not congruent.