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Quadrilaterals: Final Assessment

Section A: Concepts

Question 1mcq
Which description best identifies a parallelogram?
A.A four-sided figure with all angles unequal
B.A quadrilateral with exactly one pair of parallel sides
C.Any polygon with four or more sides
D.A quadrilateral with two pairs of opposite sides parallel
Question 2mcq
Three angles of a quadrilateral are 60∘60^\circ, 120∘120^\circ, and 80∘80^\circ. What is the fourth angle?
A.80∘80^\circ
B.110∘110^\circ
C.100∘100^\circ
D.90∘90^\circ
Question 3mcq
Which property is always true for a parallelogram?
A.All four sides are equal.
B.All four angles are right angles.
C.Opposite sides are equal and parallel.
D.Diagonals are always equal and perpendicular.
Question 4mcq
Which quadrilateral has all sides equal and all angles right angles?
A.A general parallelogram
B.A trapezium
C.A square
D.A kite
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.It must be a rhombus only.
C.Equal diagonals prove all four sides are unequal.
D.It cannot be a parallelogram.
Question 6mcq
Which quadrilateral is usually defined as having one pair of opposite sides parallel?
A.Rhombus
B.A trapezium
C.Square
D.Kite
Question 7mcq
Which angle property is true for every parallelogram?
A.All angles are 90∘90^\circ.
B.Each angle is 60∘60^\circ.
C.Adjacent angles are equal.
D.Both pairs of opposite 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.No quadrilateral can have opposite sides parallel.
B.Yes, every quadrilateral with parallel sides is a square.
C.Yes, every parallelogram is a rectangle.
D.No, because the diagram may show a special case but the given conditions do not force it.

Section B: Skills

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 exactly one pair of parallel sides
D.A quadrilateral with two pairs of opposite sides parallel
Question 10mcq
Three angles of a quadrilateral are 90∘90^\circ, 90∘90^\circ, and 120∘120^\circ. What is the fourth angle?
A.60∘60^\circ
B.50∘50^\circ
C.120∘120^\circ
D.70∘70^\circ
Question 11mcq
Which property is always true for a parallelogram?
A.All four sides are equal.
B.All four angles are right angles.
C.Opposite sides are equal and parallel.
D.Diagonals are always equal and perpendicular.
Question 12mcq
Which quadrilateral has all sides equal and all angles right angles?
A.A general parallelogram
B.A square
C.A kite
D.A trapezium
Question 13mcq
A student says, 'If a parallelogram has equal diagonals, it must be a rectangle.' Which statement is best?
A.It cannot be a parallelogram.
B.A rectangle is enough to guarantee equal diagonals.
C.It must be a rhombus only.
D.Equal diagonals prove all four sides are unequal.
Question 14mcq
Which quadrilateral is usually defined as having one pair of opposite sides parallel?
A.A trapezium
B.Square
C.Rhombus
D.Kite
Question 15mcq
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 16mcq
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.No, because the diagram may show a special case but the given conditions do not force it.
B.Yes, every quadrilateral with parallel sides is a square.
C.Yes, every parallelogram is a rectangle.
D.No quadrilateral can have opposite sides parallel.

Section C: Applications

Question 17mcq
Which description best identifies a parallelogram?
A.A quadrilateral with exactly one pair of parallel sides
B.A quadrilateral with two pairs of opposite sides parallel
C.A four-sided figure with all angles unequal
D.Any polygon with four or more sides
Question 18mcq
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.65∘65^\circ
C.115∘115^\circ
D.125∘125^\circ
Question 19mcq
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 20mcq
Which quadrilateral has all sides equal and all angles right angles?
A.A square
B.A trapezium
C.A kite
D.A general parallelogram
Question 21mcq
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.It cannot be a parallelogram.
C.Equal diagonals prove all four sides are unequal.
D.It must be a rhombus only.
Question 22mcq
Which quadrilateral is usually defined as having one pair of opposite sides parallel?
A.A trapezium
B.Rhombus
C.Kite
D.Square
Question 23mcq
Which angle property is true for every parallelogram?
A.Both pairs of opposite angles are equal.
B.Adjacent angles are equal.
C.All angles are 90∘90^\circ.
D.Each angle is 60∘60^\circ.
Question 24mcq
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 quadrilateral can have opposite sides parallel.
D.No, because the diagram may show a special case but the given conditions do not force it.

Section D: Reasoning

Question 25mcq
Which description best identifies a parallelogram?
A.Any polygon with four or more sides
B.A quadrilateral with exactly one pair of parallel sides
C.A four-sided figure with all angles unequal
D.A quadrilateral with two pairs of opposite sides parallel
Question 26mcq
Three angles of a quadrilateral are 70∘70^\circ, 110∘110^\circ, and 95∘95^\circ. What is the fourth angle?
A.85∘85^\circ
B.95∘95^\circ
C.95∘95^\circ
D.75∘75^\circ
Question 27mcq
Which property is always true for a parallelogram?
A.All four sides are equal.
B.Opposite sides are equal and parallel.
C.Diagonals are always equal and perpendicular.
D.All four angles are right angles.
Question 28mcq
Which quadrilateral has all sides equal and all angles right angles?
A.A kite
B.A general parallelogram
C.A square
D.A trapezium
Question 29mcq
A student says, 'If a parallelogram has equal diagonals, it must be a rectangle.' Which statement is best?
A.It cannot be a parallelogram.
B.Equal diagonals prove all four sides are unequal.
C.A rectangle is enough to guarantee equal diagonals.
D.It must be a rhombus only.
Question 30mcq
Which quadrilateral is usually defined as having one pair of opposite sides parallel?
A.A trapezium
B.Rhombus
C.Square
D.Kite
Question 31mcq
Which angle property is true for every parallelogram?
A.Both pairs of opposite angles are equal.
B.Adjacent angles are equal.
C.All angles are 90∘90^\circ.
D.Each angle is 60∘60^\circ.
Question 32mcq
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.Yes, every quadrilateral with parallel sides is a square.
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.