which of the following quadrilateral is not a rhombus? a. all 4 sides are equal b. diagonals bisect each other c. diagonal bisect opposite angles d. one angle between diagonal is 60°
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Answer:
D) one angle between diagonal is 60 degree
Step-by-step explanation:
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A Quadrilateral with one angle between diagonal is 60° can not be a rhombus as Diagonals of Rhombus bisect each other perpendicularly
Given:
- A Quadrilateral
- a. all 4 sides are equal
- b. diagonals bisect each other
- c. diagonal bisect opposite angles
- d. one angle between diagonal is 60°
To Find:
- Which one can not be a rhombus ?
Solution:
- Rhombus is a Quadrilateral having all 4 sides Equal
- Diagonals of Rhombus bisect each other perpendicularly
- Diagonal bisect opposite angles
Checking giving options one by one:
a. all 4 sides are equal
Hence This is a rhombus as this is the condition of rhombus
b. diagonals bisect each other
Hence This can be a rhombus as this is property of rhombus
c. diagonal bisect opposite angles
Hence This can be a rhombus as this is property of rhombus
d) one angle between diagonal is 60°
This can not be rhombus as diagonals of rhombus bisect each other perpendicularly Hence this can not be a Rhombus
Correct option is one angle between diagonal is 60°
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