## BIGDOG96 3 years ago Which chart best compares a rectangle and a rhombus according to their side and diagonal properties?

1. BIGDOG96

2. BIGDOG96

@ganeshie8 Can you help?

3. BIGDOG96

@PaxPolaris can you help?

4. BIGDOG96

5. PaxPolaris

|dw:1348676604835:dw| have you been able to eliminate any of the options so far....

6. PaxPolaris

@BIGDOG96 Were you able to eliminate any of the options at all for any reason?

7. BIGDOG96

2 and 4...right?

8. PaxPolaris

yes if you're looking at sides ... Rectangles: opposite sides equal Rhombus: All equal so... we're left with 1 and 3

9. BIGDOG96

Yep

10. PaxPolaris

now look at diagonals ... in a rectangle do the diagonals bisect each other ... (cut each other in half)

11. PaxPolaris

?

12. BIGDOG96

Yes

13. PaxPolaris

and are they perpendicular to each other?

14. BIGDOG96

Yes

15. BIGDOG96

So option 3 right?

16. PaxPolaris

perpendicular means they intersect at 90 degree angles...? |dw:1348677416596:dw| do all 4 angles made by the intersecting diagonals look the same ?

17. BIGDOG96

Yes

18. PaxPolaris

|dw:1348677680210:dw| are you saying angle 1 and angle 2 have the exact same measure?

19. BIGDOG96

N

20. BIGDOG96

No

21. PaxPolaris

right ... in a rectangle: diagonals are congruent to each other ... and bisect each other .... But they are NOT necessarily perpendicular to each other if they were perpendicular ... the rectangle would have to be a Square

22. BIGDOG96

Right

23. BIGDOG96

Gotcha

24. PaxPolaris

|dw:1348678135474:dw| In a Rhombus diagonal are perpendiular ... AND they bisect each other .... the diagonals just don't have to be congruent to each other. if they were congruent the rhombus would have to be a square. so option 1.

25. BIGDOG96

Thanks

26. PaxPolaris

no problem