similarities between trapezium and rhombus
Answers
Answer:
1. Both are convex quadrilaterals
2. Both have 4 sides and 4 angles
3. Both have the sum of their interior angles as 360 deg.
4. Both have the sum of their exterior angles as 360 deg.
Step-by-step explanation:
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Answer:
Similarities between a trapezium and a rhombus
1. Both are convex quadrilaterals
2. Both have 4 sides and 4 angles
3. Both have the sum of their interior angles as 360 deg.
4. Both have the sum of their exterior angles as 360 deg.
And, the similarities end there.
There are more dissimilarities between a trapezium and a rhombus.
1a. In an isosceles trapezium two pairs of adjacent angles are obtuse and acute.
1b. In a rhombus, four pairs of adjacent angles are supplementary.
2a. An isosceles trapezium can be inscribed inside a circle.
2b. A rhombus cannot be inscribed inside a circle.
3a. An isosceles trapezium has two equal diagonals.
3b. A rhombus cannot have equal diagonals unless it is a square.
4a. The area of a trapezium = half the sum of the parallel sides * distance between them.
4b. The area of a rhombus = half the product of the diagonals.
5a. The diagonals of a trapezium intersect each other forming one acute and one obtuse angle.
5b. The diagonals of a rhombus bisect each other at right angles.
6a. The diagonals of a trapezium do not bisect the angle.
6b. The diagonals of a rhombus bisect the angles.
7a. The diagonals of a trapezium do not form right angled triangles.
7b. The diagonals of a rhombus form 4 congruent right angled triangles.
Step-by-step explanation:
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