Question

Figure PQRS shows the top view of a square box. The length of diagonal PR is (x + 6) units and the length of diagonal QS is (3x – 1) units.


Which property of squares is used to write the equation (x + 6) = (3x – 1) and solve for x?

a. The diagonals of a square are congruent.
b. The diagonals of a square bisect each other.
c.The diagonals of a square are perpendicular.
d.All four sides of a square are congruent.

Answer 1

any idea?

Answer 2

@angela210793 i think it is A
but i just need someone to chexck for me

Answer 3

they are equal becoz diagonals bisect each ther @Math_Is_Confusing123 :)

Answer 4

other*

Answer 5

so option is 'B'

Answer 6

B

Answer 7

now wht is going of ur's to solve a linear equation ?????

Answer 8

being honest...i was thinking of A too O.o

Answer 9

but it is also true that diagonals bisect each other it's a very important property of quadrilaterals @angela210793 :)

Answer 10

@SmoothMath what do you think?
A or B?

Answer 11

i know...but i think A is kind of more right...O.o

Answer 12

Im so confuseddd lol i dont no if i should pick a or b

Answer 13

let's see what @lgbasallote thinks :)

Answer 14

ok(:

Answer 15

i'll agree with whatever @angela210793 says

Answer 16

hey come on @lgbasallote...which is the right option O.o

Answer 17

@lgbasallote it's between A or B

Answer 18

well since you made the two thingies *equal* then it would be congruency...

Answer 19

so it would be A?

Answer 20

@GT

Answer 21

@myko @ash2326
what do you think A or B?

Answer 22

Look at what it is that we are setting equal to each other. It's PR and QS, which are the diagonals. The whole diagonals, not their halves.

Answer 23

@SmoothMath okay... so theyre bisecting each other.. but the are also congruent.. so thats what im confused on

Answer 24

Both of those things are true, but which of them lets me say
PR=QS?

Answer 25

Both of these statements are true:
"The diagonals of a square bisect each other."
"The diagonals of a square are congruent."

The first statement means that they cut each other exactly in half.
The second statement means that the two diagonals are equal, they have the same length.

Answer 26

so it would be they are congruent?

Answer 27

Mhmm =)

Answer 28

yay(: thanks so much!!

Answer 29

Okay, I labeled the place where the diagonals cross C.
The fact that the diagonals bisect each other means that they cut each other exactly in half. So, look at PR. I can say that it's cut exactly in half at point C which means the two sides are the same. PC = PR
Now, look at QS. I can say the same thing. Since the other diagonal bisects its, QC=QS

So the fact that they bisect each other give me
PC= PR and
QC=QS

It wouldn't quite yet tell me that PR = QS,
but I have another rule that "The diagonals of a square are congruent."
So that rule gives it to me =)