Question

Quadrilateral ABCD has diagonals that are congruent and perpendicular to each other. What classification can be given to ABCD? (5 points)

Parallelogram
Rectangle
Rhombus
Square

Answer 1

is this a multiple choice question?

Answer 2

yes

Answer 3

ok then in the question it says that the diagonals are congruent which means you can get rid of 1 choice

Answer 4

okay

Answer 5

do you know the one you can get rid of?

Answer 6

yes a square but bc. a square is a rhombus too so i think that there are two choices correct

Answer 7

Politely disagree. Rhombus doesn't work because a rhombus does not have congruent diagonals. Only one of the shapes has both congruent *and* perpendicular diagonals.

Answer 8

@Mercury yes i understand your ,,disagree" - but i think and hope you know that a square is a rhombus too - so in this situation the choice of rhombus is right,correct too

@Vocaloid i think you will agree this above wrote ...

Answer 9

Yes, squares are rhombuses too.

That does not mean rhombuses also fit the critera described in the problem. Because the shape described in the problem has both perpendicular *and* congruent diagonals, it can be a square, but it cannot be a rhombus.