$In the given figure ar (△ B U G) is equal to ar (△ C U P), then which of the following statements are true?$

BU is equal to CU

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BU is not equal CU

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BC is not parallel to PG.

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BC is parallel to PG.

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Solution

The correct option is D $BC is parallel to PG.$
Two triangles on the same base (or equal bases) and between the same parallels have equal areas.

$∴$ $If ar (△ B U G) = ar (△ C U P),$
$(△ B U G) and (△ C U P) have the same base and are between the same parallels.$

$\Rightarrow BU is equal to CU and BC is$ $parallel to PG.$

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