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Mathematics 18 Online
Awolflover1 (awolflover1):

Which figure must be a square? A. a quadrilateral with congruent sides B. a parallelogram with four congruent sides C. a rhombus with four right angles D. a quadrilateral with four right angles Help Please

Directrix (directrix):

A square is equilateral and equiangular. So, all the sides are the same AND all the angles are the same. Because the sum of the angles of a quadrilateral is 360, each angle of the square has to be a right angle.

Directrix (directrix):

@l_o_w_key Wrong and do not give direct answers on OpenStudy

Directrix (directrix):

@l_o_w_key OpenStudy values the Learning process - not the ‘Give you an answer’ process' Don’t post only answers - guide the asker to a solution. http://openstudy.com/code-of-conduct

Directrix (directrix):

Based on that info, what do you think is the answer to your question @Awolflover1

Awolflover1 (awolflover1):

I think D

Directrix (directrix):

Option D is not correct.

Directrix (directrix):

Option D has 4 right angles. But, you also must have 4 sides which are the same. Look again at the options.

Awolflover1 (awolflover1):

a rectangle?

Directrix (directrix):

No. A rectangle has right angles but does not have congruent sides unless it is also a square.

Directrix (directrix):

Go to this link and read about the sides of a rhombus: http://www.mathwords.com/r/rhombus.htm

Awolflover1 (awolflover1):

A rhombus has 4 congruent sides

Directrix (directrix):

Yes.

Directrix (directrix):

So, what if the rhombus had 4 right angles? Would it be a square?

Awolflover1 (awolflover1):

No?

Directrix (directrix):

Yes, it would. Because as you said, the rhombus has 4 sides the same. So, if it had right angles, then it would be equiangular and equilateral which would make it a square.

Directrix (directrix):

So, which option?

Awolflover1 (awolflover1):

C

Directrix (directrix):

Correct.

Awolflover1 (awolflover1):

thank you I get it now :)

Directrix (directrix):

You are welcome.

ILovePuppiesLol (ilovepuppieslol):

see ur learning :D

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