Say True or False :
(a) Each angle of a rectangle is a right angle.
(b) The opposite sides of a rectangle are equal in length.
(c) The diagonals of a square are perpendicular to one another.
(d) All the sides of a rhombus are of equal length.
(e) All the sides of a parallelogram are of equal length.
(f) The opposite sides of a trapezium are parallel.
To do:
We have to find whether the given statements are true or false.
Solution:
(a) We know that each angle of a rectangle is a right angle.
Therefore, the given statement is true.
(b) We know that the opposite sides of a rectangle are equal in length.
Therefore, the given statement is true.
(c) We know that the diagonals of a square are perpendicular to one another.
Therefore, the given statement is true.
(d) We know that all the sides of a rhombus are equal in length.
Therefore, the given statement is true.
(e) We know that opposite sides of a parallelogram are equal.
Therefore, the given statement is false.
(f) We know that in a trapezium exactly one pair of opposite sides are parallel to each other.
Therefore, the given statement is false.
Related Articles
- A parallelogram whose all sides are equal opposite angles are equal opposite sides are parallel is called a rhombus. Why? Why not square?
- If the two sides of a pair of opposite sides of a cyclic quadrilateral are equal, prove that is diagonals are equal.
- Which of the following statements are true (T) and which are false (F):Angles opposite to equal sides of a triangle are equal.
- Which of the following statements are true (T) and which are false (F)?If the opposite sides of a quadrilateral are equal, it is a parallelogram.
- Which of the following statements are true (T) and which are false (F)?If all the sides of a quadrilateral are equal it is a parallelogram.
- Which of the following statements are true (T) and which are false (F)?In any quadrilateral, if a pair of opposite sides is equal, it is a parallelogram.
- The parallel sides of a trapezium are 20cm and 10cm. Its nonparallel sides are both equal, each being 13cm. Find the area of the trapezium.
- Which of the following statements are true (T) and which are false (F):Sides opposite to equal angles of a triangle may be unequal.
- Find the length of diagonal of a rectangle whose sides are 12cm and 5cm.
- If the non-parallel sides of a trapezium are equal, prove that it is cyclic.
- The opposite sides of a quadrilateral are parallel. If one angle of the quadrilateral is $60^o$, find the other angles.
- The parallel sides of a trapezium are 25 cm and 15 cm long. Its non-parallel sides are both equal, each being 10 cm long. Find the area of the trapezium.
- Which of the following statements is not true?(a) A square is a rectangle.(b) If one angle of a parallelogram is right angle, then each of the remaining angles is also right angle.(c) If the diagonals of a parallelogram divide it into two isosceles triangles, then the parallelogram is a rhombus.(d) The opposite angles of a parallelogram are bisected by its diagonals.
- Which of the following statements are true (T) and which are false (F)?If the opposite angles of a quadrilateral are equal, it is a parallelogram.
- Which of the following statements are true (T) and which are false (F):If any two sides of a right triangle are respectively equal to two sides of other right triangle, then the two triangles are congruent.
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