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Geometry Homework

I think a rhombus would be equilateral because it can be a square. A square is a rhombus and a square is equilateral. Would a rhombus be equiangular if it was a square? I think it would be.

Name each quadrilateral--parallelogram, rectangle, rhombus, and square--for which statement is true.

19. It is equiangular. rectangle, rhombus, square
20. It is equiangular and equilateral. rhombus, square
21. Its diagonals are perpendicular. rhombus, square
22. Opposite sides are congruent. rectangle, rhombus, parallelogram, square
23. The diagonals bisect each other. rectangle, rhombus, parallelogram, square
24. The diagonals bisect opposite angles. square, rhombus

Quote:

Originally Posted by jchen (Post 27686)

I think a rhombus would be equilateral because it can be a square. A square is a rhombus and a square is equilateral. Would a rhombus be equiangular if it was a square? If and only if it's a square. I think it would be.

Name each quadrilateral--parallelogram, rectangle, rhombus, and square--for which statement is true.

19. It is equiangular. rectangle, rhombus, square - double check one of these...
20. It is equiangular and equilateral. rhombus, square - double check one of these...
21. Its diagonals are perpendicular. rhombus, square - Good!
22. Opposite sides are congruent. rectangle, rhombus, parallelogram, square - Good!
23. The diagonals bisect each other. rectangle, rhombus, parallelogram, square - Good!
24. The diagonals bisect opposite angles. square, rhombus - I tend to agree with your interpretation of the question, but I don't like how it was worded...

See my suggestions above...

so for 19 and 20 rhombus would not be included? okay.
thanks for your help!
and yeah you're right a rhombus would be equiangular and equilateral if and only if it was a square.