Question

Which of the following group is true for quadrilateral $ABCD$?

(1) $ABCD$ is a Rhombus	(a) $\overline{AC}$ and $\overline{BD}$ bisect each other.
(2) $ABCD$ is a Parallelogram	(b) $\overline{AC}$ and $\overline{BD}$ bisect each other at an right angle.
(3) $ABCD$ is Rectangle	(c) $\overline{AC}$ and $\overline{BD}$ are congruent and bisect each other at an right angle.
(4) $ABCD$ is Square	(d) $\overline{AC}$ and $\overline{BD}$ are congruent and bisect each other.

• A. $1-d,2-a,c-d,4-c$
• B. $1-c,2-d,3-a,4-b$
• C. $1-b,2-a,3-d,4-c$
• D. $1-b,2-c,3-d,4-a$

Answer 1

Answer: (C)

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

Diagonals of rhombus $ABCD$ intersect at right angles. $1\to b$

Diagonals of parallelogram $ABCD$ bisect each other. $2\to a$

Diagonals of rectangle $ABCD$ are equal/congruent and bisect each other, $3\to d$

Diagonals of square $ABCD$ bisect at right angles and are equal/congruent. $4\to c$