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Quadrilaterals: Practice 1

Section A: Core Practice

Question 1mcq
Which description best identifies a parallelogram?
A.A four-sided figure with all angles unequal
B.A quadrilateral with two pairs of opposite sides parallel
C.Any polygon with four or more sides
D.A quadrilateral with exactly one pair of parallel sides
Question 2mcq
Three angles of a quadrilateral are 75∘75^\circ, 105∘105^\circ, and 65∘65^\circ. What is the fourth angle?
A.105∘105^\circ
B.115∘115^\circ
C.65∘65^\circ
D.125∘125^\circ
Question 3mcq
Which property is always true for a parallelogram?
A.Opposite sides are equal and parallel.
B.Diagonals are always equal and perpendicular.
C.All four sides are equal.
D.All four angles are right angles.
Question 4mcq
Which quadrilateral has all sides equal and all angles right angles?
A.A trapezium
B.A kite
C.A square
D.A general parallelogram
Question 5mcq
A student says, 'If a parallelogram has equal diagonals, it must be a rectangle.' Which statement is best?
A.A rectangle is enough to guarantee equal diagonals.
B.Equal diagonals prove all four sides are unequal.
C.It cannot be a parallelogram.
D.It must be a rhombus only.
Question 6mcq
Which quadrilateral is usually defined as having one pair of opposite sides parallel?
A.Kite
B.Square
C.Rhombus
D.A trapezium

Section B: Reasoning and Application

Question 7mcq
Which angle property is true for every parallelogram?
A.Each angle is 60∘60^\circ.
B.All angles are 90∘90^\circ.
C.Both pairs of opposite angles are equal.
D.Adjacent angles are equal.
Question 8mcq
A rough sketch of a quadrilateral looks like a rectangle, but only opposite sides are given parallel. Can we conclude it is a rectangle?
A.Yes, every quadrilateral with parallel sides is a square.
B.Yes, every parallelogram is a rectangle.
C.No, because the diagram may show a special case but the given conditions do not force it.
D.No quadrilateral can have opposite sides parallel.
Question 9mcq
Which description best identifies a parallelogram?
A.A four-sided figure with all angles unequal
B.Any polygon with four or more sides
C.A quadrilateral with two pairs of opposite sides parallel
D.A quadrilateral with exactly one pair of parallel sides
Question 10mcq
Three angles of a quadrilateral are 75∘75^\circ, 105∘105^\circ, and 65∘65^\circ. What is the fourth angle?
A.115∘115^\circ
B.125∘125^\circ
C.65∘65^\circ
D.105∘105^\circ
Question 11mcq
Which property is always true for a parallelogram?
A.Diagonals are always equal and perpendicular.
B.All four angles are right angles.
C.Opposite sides are equal and parallel.
D.All four sides are equal.
Question 12mcq
Which quadrilateral has all sides equal and all angles right angles?
A.A kite
B.A general parallelogram
C.A square
D.A trapezium