**Answer:** every squares space rectangles yet all rectangles can’t it is in squares, therefore this explain is false.

(b) every kites are rhombuses.

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**Answer:** every rhombuses are kites but all kites can’t it is in rhombus.

(c) all rhombuses room parallelograms

**Answer:** True

(d) every rhombuses space kites.

**Answer:** True

(e) all squares room rhombuses and additionally rectangles

**Answer:** True; squares fulfill all criteria of being a rectangle because all angles are best angle and also opposite sides are equal. Similarly, they meet all criteria that a rhombus, together all sides are equal and their diagonals bisect every other.

(f) all parallelograms are trapeziums.

**Answer:** False; all trapeziums space parallelograms, but all parallelograms can’t be trapezoid.

(g) every squares space not parallelograms.

**Answer:** False; all squares are parallelograms

(h) all squares room trapeziums.

**Answer:** True

Question 2: recognize all the quadrilaterals that have.

(a) four sides the equal length (b) four right angles

**Answer:** (a) If all 4 sides room equal then it can be either a square or a rhombus.**(b) All four right angles make it one of two people a rectangle or a square.**

**Question 3: define how a square is.(i) a quadrilateral (ii) a parallelogram (iii) a rhombus (iv) a rectangle**

**Answer:** (i) Having four sides makes it a quadrilateral**(ii) the contrary sides room parallel so it is a parallelogram(iii) Diagonals bisect each various other so the is a rhombus(iv) opposite sides room equal and also angles are right angles so it is a rectangle.**

**Question 4: name the quadrilaterals whose diagonals.(i) bisect each various other (ii) room perpendicular bisectors the each other (iii) are equal**

**Answer:** Rhombus; because, in a square or rectangle diagonals don’t crossing at appropriate angles.

Question 5: explain why a rectangle is a convex quadrilateral.

**Answer:** Both diagonals lied in that is interior, so that is a convex quadrilateral.

Question 6: abc is a right-angled triangle and O is the mid point of the side opposite come the best angle. Describe why O is equidistant from A, B and C.

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**Answer:** If we extend BO to D, we obtain a rectangle ABCD. Now AC and also BD are diagonals that the rectangle. In a rectangle diagonals space equal and also bisect each other.So, AC = BDAO = OCBO = ODAnd AO = OC = BO = ODSo, the is clear the O is equidistant from A, B and also C.