91影视

The given statement is 鈥淭he diagonals of the rhombus are perpendicular鈥�

The given additional statement is 鈥�JKLM is a rhombus鈥�.

Hence the diagonals of the rhombus JKLM are perpendicular.

ConsiderJKLM is a rhombus.

Sincethe diagonals of the rhombus JKLM are perpendicular, therefore the diagonals JL and KM are perpendicular.

Hence, the conclusion isthe diagonals JL and KM are perpendicular.

The given statement is 鈥淭he diagonals of the rhombus are perpendicular鈥�

The given additional statement is 鈥淚n quadrilateral DIME, $\stackrel{炉}{DM}鈯�\stackrel{炉}{IE}$鈥�.

Here $\stackrel{炉}{DM}鈯�\stackrel{炉}{IE}$ implies that the diagonals are perpendicular.

Consider $\stackrel{炉}{DM}鈯�\stackrel{炉}{IE}$.

The diagonals are perpendicular, but it is may or may not be a rhombus.

Hence no conclusion is possible.

The given statement is 鈥淭he diagonals of the rhombus are perpendicular鈥�

The given additional statement is 鈥�STUV is not a rhombus鈥�.

Here STUVis given that not a rhombus.

Since the diagonals of the rhombus are perpendicular, therefore the diagonals of STUV are may or may not be perpendicular.

Hence, the conclusion is not possible.

The given statement is 鈥淭he diagonals of the rhombus are perpendicular鈥�

The given additional statement is 鈥淚n quad NOPQ, not \[\overline{NP}\bot \overline{OQ}\]鈥�.

Here the diagonals are not perpendicular.

Since the diagonals of the rhombus are perpendicular but $\stackrel{炉}{NP}鈯�\stackrel{炉}{OQ}$ is not true, therefore it is not a rhombus.

Hence the conclusion is NOPQ is not a rhombus.