Question

ABCD is a square. DEGH is a rectangle. Two equal parallelograms on the base DE are *

Answer 1

Answer:

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Answer 2

Answer:

Concept :

A simple (non-self-intersecting) quadrilateral with two sets of parallel sides is known as a parallelogram in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size. The Euclidean parallel postulate or one of its equivalent formulations must be used in order to demonstrate the congruence of opposed sides and opposite angles because both conditions are a direct result of this postulate.

Explanation:

• A parallelogram is a straightforward (non-self-intersecting) quadrilateral with two sets of parallel sides. A parallelogram has opposed sides that are facing one another and opposite angles that are of equal size.
• It is impossible to demonstrate either condition without referencing the Euclidean parallel postulate or one of its equivalent formulations since the congruence of opposed sides and opposite angles is a direct result of that assumption.

• A rectangle is a parallelogram, thus "DEGH" is one parallelogram with the same basis as DE. If we look closely, we may also locate "DEFC," which is another parallelogram with the same base as DE.

• Since a rectangle is a parallelogram, the answer is "D," since "DEGH" is one parallelogram with the same base as DE and "DEFC" is another parallelogram with the same base as DE if we look closely.

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