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Quadrilaterals: Practice 2

Section A: Core Practice

Question 1mcq
Which property is always true for a parallelogram?
A.All four angles are right angles.
B.Diagonals are always equal and perpendicular.
C.Opposite sides are equal and parallel.
D.All four sides are equal.
Question 2mcq
Which quadrilateral has all sides equal and all angles right angles?
A.A kite
B.A trapezium
C.A square
D.A general parallelogram
Question 3mcq
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 4mcq
Which quadrilateral is usually defined as having one pair of opposite sides parallel?
A.Kite
B.Square
C.A trapezium
D.Rhombus
Question 5mcq
Which angle property is true for every parallelogram?
A.All angles are 90∘90^\circ.
B.Adjacent angles are equal.
C.Each angle is 60∘60^\circ.
D.Both pairs of opposite angles are equal.
Question 6mcq
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 parallelogram is a rectangle.
B.No quadrilateral can have opposite sides parallel.
C.Yes, every quadrilateral with parallel sides is a square.
D.No, because the diagram may show a special case but the given conditions do not force it.

Section B: Reasoning and Application

Question 7mcq
Which description best identifies a parallelogram?
A.A quadrilateral with two pairs of opposite sides parallel
B.A four-sided figure with all angles unequal
C.A quadrilateral with exactly one pair of parallel sides
D.Any polygon with four or more sides
Question 8mcq
Three angles of a quadrilateral are 75∘75^\circ, 105∘105^\circ, and 65∘65^\circ. What is the fourth angle?
A.65∘65^\circ
B.125∘125^\circ
C.105∘105^\circ
D.115∘115^\circ
Question 9mcq
Which property is always true for a parallelogram?
A.All four sides are equal.
B.All four angles are right angles.
C.Diagonals are always equal and perpendicular.
D.Opposite sides are equal and parallel.
Question 10mcq
Which quadrilateral has all sides equal and all angles right angles?
A.A square
B.A trapezium
C.A general parallelogram
D.A kite
Question 11mcq
A student says, 'If a parallelogram has equal diagonals, it must be a rectangle.' Which statement is best?
A.It must be a rhombus only.
B.Equal diagonals prove all four sides are unequal.
C.It cannot be a parallelogram.
D.A rectangle is enough to guarantee equal diagonals.
Question 12mcq
Which quadrilateral is usually defined as having one pair of opposite sides parallel?
A.Rhombus
B.A trapezium
C.Square
D.Kite