Question

all kites are rhombuses ?
all rhombuses are kites?
all parallelogram are trapezium?
all squares are trapezium?
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Answer 1

Answer:

1:All rectangles are squares-false, because rectangles don’t have all sides equal.

2: All rhombuses are parallelogram- true, because all rhombuses have two pair of parallel sides.

3:All squares are rhombuses and rectangles- true, because square do have all sides equal and all the angles as 90degree.

4: All squares are not parallelogram- false, because all squares do have two pair of sides parallel.

5: All kites are rhombus- false, because kites don’t have all sides equal like rhombus.

6: All rhombuses are kites- true, because in rhombuses, the one of the diagnol bisect the other and also the adjacent sides are equal.

7: All parallelogram are trapezium- true, because there is also one pair of parallel sides in a parallelogram like trapezium.

8: All squares are trapezium- true, because squares have one pair of sides parallel.

Hope it helps

Answer 2

1...A kite is a quadrilateral whose four sides can be grouped into two pairs 3of equal-length sides that are adjacent to each other and only one pair of opposite angles are equal. All sides of a rhombus are equal and opposite angles are equal. So, All rhombusesare kites.

2...A trapezium is a quadrilateral with exactly one set of parallel sides. ... Atrapezium is a quadrilateral with at least one set of parallel sides. By the inclusive definition, ALL parallelograms are trapeziums.

3.....⇒ A trapezium is a quadrilateral with at least one pair of parallel sides. ⇒ In a square, there are always two pairs of parallel sides, so every squareis trapezium. ∴ All squares are trapeziums