Which of the following groups is true for squ | vedclass

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(D) To determine the correct matching,we analyze the properties of the diagonals of quadrilaterals:$1$. For a rhombus $(1)$,the diagonals bisect each

Vedclass · Accepted Answer

$(1-b), (2-a), (3-d), (4-c)$

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(D) To determine the correct matching,we analyze the properties of the diagonals of quadrilaterals:$1$. For a rhombus $(1)$,the diagonals bisect each other at right angles $(b)$.$2$. For a parallelogram $(2)$,the diagonals bisect each other $(a)$.$3$. For a rectangle $(3)$,the diagonals are congruent and bisect each other $(d)$.$4$. For a square $(4)$,the diagonals are congruent and bisect each other at right angles $(c)$.Thus,the correct matching is $(1-b), (2-a), (3-d), (4-c)$.

$1$. $\square ABCD$ is a rhombus.	$a$. $\overline{AC}$ and $\overline{BD}$ bisect each other.
$2$. $\square ABCD$ is a parallelogram.	$b$. $\overline{AC}$ and $\overline{BD}$ bisect each other at right angles.
$3$. $\square ABCD$ is a rectangle.	$c$. $\overline{AC}$ and $\overline{BD}$ are congruent and bisect each other at right angles.
$4$. $\square ABCD$ is a square.	$d$. $\overline{AC}$ and $\overline{BD}$ are congruent and bisect each other.

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