MathMultiple Choice

Which statement below is the correct definition for denoting similar objects?

✨ Quizard's Answer

Asked by 1 other people

E
None of the above

Explanation:

To determine the correct definition for denoting similar objects, we need to understand the concept of similarity. Similar objects are those that have the same shape but may differ in size.
Option A states that similar objects have proportional angles and congruent sides. This is incorrect because while similar objects do have proportional angles, their sides are not necessarily congruent.
Option B states that similar objects have proportional angles and proportional sides. This is the correct definition for denoting similar objects. When two objects are similar, their corresponding angles are equal, and their corresponding sides are in proportion to each other.
Option C states that similar objects have congruent angles and congruent sides. This is incorrect because congruent angles and congruent sides indicate that the objects are not just similar, but actually congruent.
Option D states that similar objects have congruent angles and proportional sides. This is incorrect because while similar objects do have proportional sides, their angles are not necessarily congruent.
Therefore, the correct answer is B. Similar objects have proportional angles and proportional sides.

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