MATHS 1 Marks Question

True.
Solution:
Every square is also a parallelogram as it has all the properties of a parallelogram but vice-versa is not true.

True. Solution: If diagonals are equal, then it is definitely a rectangle.

False.
Solution:
Because it is not a simple closed curve as it intersects with itself more than once.

False. Solution: Diagonals of a rectangle does not bisect each other.

False. Solution: As in a parallelogram, all angles are not right angles, while in a rectangle, all angles are equal and are right angles.

A rhombus is a parallelogram in which all sides are equal. Solution: As length of each side is same in a rhombus.

False.
Solution:
By definition of a regular polygon, we know that, a polygon is regular, if all sides and all angles are equal.

True.
Solution:
As a square possesses all the properties of a rhombus. So, we can say that, every square is a rhombus but vice-versa is not true.

True. Solution: A quadrilateral can be drawn, if all four sides and one angle is known.

A diagonal of a quadrilateral is a line segment that joins two opposite vertices of the quadrilateral. Solution: Since the line segment connecting two opposite vertices is called diagonal.

False Solution: A kite is a convex quadrilateral as the line segment joining any two opposite vertices inside it, lies completely inside it.

False. Solution: Since in a rectangle, opposite sides are equal and parallel but in a trapezium, it is not so.

If one diagonal of a rectangle is 6cm long, length of the other diagonal is square. Solution: If in a rectangle, adjacent sides are equal, then it is called a square.

True. Solution: Since rectangles satisfy all “the” “properties” of parallelograms. Therefore, we can say that, all rectangles are parallelograms but vice-versa is not true.

A quadrilateral can be constructed uniquely if its three sides and two included angles are given. Solution: We cap determine a quadrilateral uniquely, if three sides and two included angles are given.

True. Solution: We can construct a unique quadrilateral with given three angles given and two included sides.

No, it cannot be a rectangle, as in rectangle, both the diagonals are of equal lengths.

True. Solution: Since squares possess all the properties of rectangles. Therefore, we can say that, all squares are rectangles but vice-versa is not true.

True.
Solution:
A quadrilateral can be constructed uniquely, if four sides and one diagonal is known.

A quadrilateral that is not a parallelogram but has exactly two opposite angles of equal measure is kite. Solution: By the property of a kite, we know that, it has two opposite angles of equal measure.

If the diagonals of a quadrilateral bisect each other, it is a parallelogram. Solution: Since in a parallelogram, the diagonals bisect each other.