State whether True or False.(a) All rectangles are squares. (b) All rhombuses are parallelograms.(c) All squares are rhombuses and also rectangles. (d) All squares are not parallelograms.(e) All kites are rhombuses. (f) All rhombuses are kites.(g) All parallelograms are trapeziums. (h) All squares are trapeziums.
Question
State whether True or False.(a) All rectangles are squares. (b) All rhombuses are parallelograms.(c) All squares are rhombuses and also rectangles. (d) All squares are not parallelograms.(e) All kites are rhombuses. (f) All rhombuses are kites.(g) All parallelograms are trapeziums. (h) All squares are trapeziums.
Solution
(a) False - While all squares are rectangles (since all angles in a square are right angles), not all rectangles are squares (since not all sides in a rectangle are of equal length).
(b) True - All rhombuses are parallelograms. This is because a rhombus is defined as a parallelogram with all sides of equal length.
(c) True - All squares are rhombuses and also rectangles. This is because a square has all sides of equal length (like a rhombus) and all angles are right angles (like a rectangle).
(d) False - All squares are parallelograms. This is because a square is a special type of parallelogram where all sides are equal and all angles are right angles.
(e) False - Not all kites are rhombuses. A kite is a quadrilateral with two pairs of adjacent sides that are equal in length, but not necessarily all sides are equal (like in a rhombus).
(f) False - Not all rhombuses are kites. A rhombus has all sides of equal length, but a kite only requires two pairs of adjacent sides to be equal.
(g) True - All parallelograms are trapeziums. A trapezium is defined as a quadrilateral with at least one pair of parallel sides, and a parallelogram has two pairs of parallel sides.
(h) True - All squares are trapeziums. This is because a square is a special type of trapezium where all sides are parallel in pairs.
Similar Questions
Determine if the following statements are true or false.A rectangle is a parallelogram. Answer 1 Question 1A rhombus is a parlallelogram. Answer 2 Question 1A kite is a parallelogram. Answer 3 Question 1A trapezium is a parallelogram. Answer 4 Question 1A square is a rhombus. Answer 5 Question 1A square is a rectangle. Answer 6 Question 1A square is a kite. Answer 7 Question 1A rhombus is a kite. Answer 8 Question 1A rectangle is a rhombus. Answer 9 Question 1A rectangle is a square. Answer 10 Question 1CheckQuestion 1
Select three true statements.ResponsesA A rhombus is always a square.A rhombus is always a square.B A square is always a rectangle.A square is always a rectangle.C A rectangle is always a square.A rectangle is always a square.D A square is always a rhombus.A square is always a rhombus.E A square is always a parallelogram.
Explain how a square is(a) a quadrilateral. (b) a parallelogram.(c) a rhombus. (d) a rectangle
Try AgainOne of your answers is incorrect.True or False?Every parallelogram is a rectangle. TrueFalseEvery rectangle with four congruent sides is a square. TrueFalseEvery square is a rectangle. TrueFalseEvery quadrilateral is a square. TrueFalse
A parallelogram is a quadrilateral with two opposite sides Blank 1 Question 1 .A rectangle is a parallelogram that has all four angles equal to Blank 2 Question 1 ∘∘.A rhombus is a parallelogram with all four sides Blank 3 Question 1 .A square is a Blank 4 Question 1 with all four sides equal.A trapezium is a quadrilateral with Blank 5 Question 1 pair of opposite sides parallel.A kite is a quadrilateral with two pairs of Blank 6 Question 1 sides equal.
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