Answer: every squares space rectangles yet all rectangles can’t it is in squares, therefore this explain is false.
(b) every kites are rhombuses.
You are watching: All quadrilaterals are rectangles true or false
Answer: every rhombuses are kites but all kites can’t it is in rhombus.
(c) all rhombuses room parallelograms
(d) every rhombuses space kites.
(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.
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.