ashleyvee 2 years ago (Please help!!)The figure shown is a rhombus. What conditions would also make it a square? mult. choice.

1. ashleyvee

a. the figure would be a congruent if the diagonals were congruent b. the figure would be a square if the diagonals were perpendicular c. the figure would be a square if the diagonals bisect each other d. none, a rhombus can never be a square.

2. ashleyvee

its either A, B, or C.

3. ashleyvee

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4. jhonyy9

how do you think it and why ?

5. jhonyy9

the diagonales in a rhombus how are ?

6. ashleyvee

how are what?

7. jhonyy9

the diagonales in a rhombus are perpendiculare yes ? but not are equale

8. ashleyvee

yes?

9. mathstudent55

Option a makes no sense. The figure would be a ___?___ if the diagonals were congruent. What goes in ___?___ ?

10. ashleyvee

square?

11. jhonyy9

when the diagonales in a square are equale

12. ashleyvee

so its either B or C right?

13. mathstudent55

Every rhombus has perpendicular diagonals. The diagonals of every rhombus bisect each other. A rectangle has congruent diagonals.

14. ashleyvee

15. ashleyvee

?

16. mathstudent55

Notice the statement "A rectangle has congruent diagonals."

17. mathstudent55

Is a square a rhombus?

18. ashleyvee

yes.

19. ashleyvee

ohh so it would be A? instead.

20. mathstudent55

A rhombus may or may not be a square.

21. ashleyvee

im confused.

22. mathstudent55

If a rhombus is a rectangle, then it also a square.

23. ashleyvee

...

24. mathstudent55

If a rhombus has congruent diagonals (option a), then the rhombus is a rectangle. If a rhombus is a rectangle, then it is also a square.

25. mathstudent55

26. ashleyvee

it was A. Thanks :)

27. jhonyy9

@mathstudent55 sorry but i think that a rhombus is allways a rectangle because has 4 sides but a square is allways a rhombus because the oppsosite sides are paralelle and equale so if i remember right from my math studies

28. mathstudent55

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29. mathstudent55

A rhombus is a quadrilateral with all sides congruent. If one angle of the rhombus is a right angle, then the rhombus is a rectangle, and therefore also a square. A square is always a rhombus because by definition a square has four sides, and they are all congruent. A square is always a rhombus. A rhombus is not always a square.

30. jhonyy9

check these Rectangle Rhombus All angles are equal. All sides are equal. Alternate sides are equal. Alternate angles are equal. Its centre is equidistant from its vertices, hence it has a circumcircle. Its centre is equidistant from its sides, hence it has an incircle. hence it has an incircle Its axes of symmetry bisect opposite sides. Its axes of symmetry bisect opposite . a. angles. Diagonals are equal in length. Diagonals intersect at equal angles.