Class 9 Exam > Class 9 Questions > Two equilateral triangles are congruent when:...
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Two equilateral triangles are congruent when:
- a)Their areas are proportional
- b)Their sides are equal
- c)Their sides are proportional
- d)Their angles are equal
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Two equilateral triangles are congruent when:a)Their areas are proport...
Explanation: For two equilateral triangles to be congruent, their corresponding sides must be equal in length. In congruent triangles, all corresponding sides and angles are identical. While equilateral triangles always have equal angles (60°), congruence is specifically determined by the equality of sides.
Most Upvoted Answer
Two equilateral triangles are congruent when:a)Their areas are proport...
Because the all sides of equilateral triangle are equal
so if their sides are. equal
then triangle are congruent
so if their sides are. equal
then triangle are congruent
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Community Answer
Two equilateral triangles are congruent when:a)Their areas are proport...
Explanation:
Two equilateral triangles are congruent when their sides are equal.
Definition of congruent triangles:
Congruent triangles are triangles that have the same shape and size. In other words, if two triangles are congruent, their corresponding sides and angles are equal.
Definition of equilateral triangles:
Equilateral triangles are triangles that have three equal sides and three equal angles. Each angle in an equilateral triangle is 60 degrees.
Explanation of option 'B' - Their sides are equal:
When two equilateral triangles have equal sides, they are congruent. This means that all three sides of one triangle are equal to the corresponding sides of the other triangle.
Example:
For example, consider two equilateral triangles with sides of length 6 units. If all three sides of one triangle are equal to 6 units and all three sides of the other triangle are also equal to 6 units, then the two triangles are congruent.
Reasoning:
The reason why congruency is determined by equal sides in equilateral triangles is because the sides determine the shape and size of the triangle. If the sides are equal, then the angles will also be equal (each angle in an equilateral triangle is 60 degrees). Therefore, if two equilateral triangles have equal sides, their corresponding angles will also be equal, making them congruent.
Conclusion:
In conclusion, two equilateral triangles are congruent when their sides are equal. This is because the sides of an equilateral triangle determine its shape and size, and if the sides are equal, then the angles will also be equal. Congruent triangles have equal corresponding sides and angles.
Two equilateral triangles are congruent when their sides are equal.
Definition of congruent triangles:
Congruent triangles are triangles that have the same shape and size. In other words, if two triangles are congruent, their corresponding sides and angles are equal.
Definition of equilateral triangles:
Equilateral triangles are triangles that have three equal sides and three equal angles. Each angle in an equilateral triangle is 60 degrees.
Explanation of option 'B' - Their sides are equal:
When two equilateral triangles have equal sides, they are congruent. This means that all three sides of one triangle are equal to the corresponding sides of the other triangle.
Example:
For example, consider two equilateral triangles with sides of length 6 units. If all three sides of one triangle are equal to 6 units and all three sides of the other triangle are also equal to 6 units, then the two triangles are congruent.
Reasoning:
The reason why congruency is determined by equal sides in equilateral triangles is because the sides determine the shape and size of the triangle. If the sides are equal, then the angles will also be equal (each angle in an equilateral triangle is 60 degrees). Therefore, if two equilateral triangles have equal sides, their corresponding angles will also be equal, making them congruent.
Conclusion:
In conclusion, two equilateral triangles are congruent when their sides are equal. This is because the sides of an equilateral triangle determine its shape and size, and if the sides are equal, then the angles will also be equal. Congruent triangles have equal corresponding sides and angles.
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Two equilateral triangles are congruent when:a)Their areas are proportionalb)Their sides are equalc)Their sides are proportionald)Their angles are equalCorrect answer is option 'B'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Two equilateral triangles are congruent when:a)Their areas are proportionalb)Their sides are equalc)Their sides are proportionald)Their angles are equalCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two equilateral triangles are congruent when:a)Their areas are proportionalb)Their sides are equalc)Their sides are proportionald)Their angles are equalCorrect answer is option 'B'. Can you explain this answer?.
Two equilateral triangles are congruent when:a)Their areas are proportionalb)Their sides are equalc)Their sides are proportionald)Their angles are equalCorrect answer is option 'B'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Two equilateral triangles are congruent when:a)Their areas are proportionalb)Their sides are equalc)Their sides are proportionald)Their angles are equalCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two equilateral triangles are congruent when:a)Their areas are proportionalb)Their sides are equalc)Their sides are proportionald)Their angles are equalCorrect answer is option 'B'. Can you explain this answer?.
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