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Can a quadrilateral ABCD be a rhombus if : a)angle A + angle B =180 ? b) angle B+ angle D= 180 ? c) angle A =2angle B and angle D =1 ÷ 2 angle A ? d) AB=3BC ?
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Can a quadrilateral ABCD be a rhombus if : a)angle A + angle B =180 ? ...
Can a Quadrilateral ABCD be a Rhombus?
Therefore, based on the conditions provided, quadrilateral ABCD cannot be a rhombus. Each condition fails to satisfy the properties of a rhombus, which includes having all sides equal in length and opposite angles equal.
a) Angle A + Angle B = 180:
In a rhombus, opposite angles are equal. If angle A and angle B add up to 180 degrees, they are not equal, therefore quadrilateral ABCD cannot be a rhombus based on this condition.
b) Angle B + Angle D = 180:
Similar to the previous scenario, if angle B and angle D add up to 180 degrees, they are not equal. Hence, quadrilateral ABCD cannot be a rhombus in this case either.
c) Angle A = 2*Angle B and Angle D = 1/2*Angle A:
If angle A is twice angle B and angle D is half of angle A, the angles are not equal in a way that would make ABCD a rhombus. Therefore, this condition does not support the quadrilateral being a rhombus.
d) AB = 3BC:
In a rhombus, all sides are equal. If AB is three times the length of BC, then all sides cannot be equal, thus quadrilateral ABCD cannot be a rhombus with this condition.
Therefore, based on the conditions provided, quadrilateral ABCD cannot be a rhombus. Each condition fails to satisfy the properties of a rhombus, which includes having all sides equal in length and opposite angles equal.
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Can a quadrilateral ABCD be a rhombus if : a)angle A + angle B =180 ? b) angle B+ angle D= 180 ? c) angle A =2angle B and angle D =1 ÷ 2 angle A ? d) AB=3BC ?
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Can a quadrilateral ABCD be a rhombus if : a)angle A + angle B =180 ? b) angle B+ angle D= 180 ? c) angle A =2angle B and angle D =1 ÷ 2 angle A ? d) AB=3BC ? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Can a quadrilateral ABCD be a rhombus if : a)angle A + angle B =180 ? b) angle B+ angle D= 180 ? c) angle A =2angle B and angle D =1 ÷ 2 angle A ? d) AB=3BC ? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Can a quadrilateral ABCD be a rhombus if : a)angle A + angle B =180 ? b) angle B+ angle D= 180 ? c) angle A =2angle B and angle D =1 ÷ 2 angle A ? d) AB=3BC ?.
Can a quadrilateral ABCD be a rhombus if : a)angle A + angle B =180 ? b) angle B+ angle D= 180 ? c) angle A =2angle B and angle D =1 ÷ 2 angle A ? d) AB=3BC ? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Can a quadrilateral ABCD be a rhombus if : a)angle A + angle B =180 ? b) angle B+ angle D= 180 ? c) angle A =2angle B and angle D =1 ÷ 2 angle A ? d) AB=3BC ? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Can a quadrilateral ABCD be a rhombus if : a)angle A + angle B =180 ? b) angle B+ angle D= 180 ? c) angle A =2angle B and angle D =1 ÷ 2 angle A ? d) AB=3BC ?.
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