Q. If a quadrilateral has one angle measuring 90 degrees and the opposite angle measuring 90 degrees, what can be inferred about the quadrilateral?
A.
It is a trapezium.
B.
It is a rectangle.
C.
It is a rhombus.
D.
It is a kite.
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Solution
A quadrilateral with two opposite angles measuring 90 degrees is a rectangle.
Correct Answer:
B
— It is a rectangle.
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Q. If a quadrilateral has one pair of opposite sides that are both equal and parallel, what can be inferred?
A.
It is a trapezium.
B.
It is a parallelogram.
C.
It is a rectangle.
D.
It is a kite.
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Solution
A quadrilateral with one pair of opposite sides that are equal and parallel is classified as a trapezium.
Correct Answer:
A
— It is a trapezium.
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Q. If a quadrilateral has one pair of opposite sides that are both equal and parallel, what type of quadrilateral is it?
A.
Trapezium
B.
Parallelogram
C.
Rectangle
D.
Square
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Solution
A quadrilateral with one pair of opposite sides that are equal and parallel is a parallelogram.
Correct Answer:
B
— Parallelogram
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Q. If a quadrilateral has one pair of opposite sides that are both parallel and equal in length, what can be inferred about the quadrilateral?
A.
It is a trapezium
B.
It is a parallelogram
C.
It is a rectangle
D.
It is a rhombus
Show solution
Solution
A quadrilateral with one pair of opposite sides that are both parallel and equal is a parallelogram.
Correct Answer:
B
— It is a parallelogram
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Q. If a quadrilateral has one pair of opposite sides that are both parallel and equal, what can be inferred about the quadrilateral?
A.
It is a trapezium
B.
It is a parallelogram
C.
It is a rectangle
D.
It is a rhombus
Show solution
Solution
A quadrilateral with one pair of opposite sides that are both parallel and equal is a parallelogram.
Correct Answer:
B
— It is a parallelogram
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Q. If a quadrilateral has one pair of parallel sides, it is classified as which of the following?
A.
Trapezium
B.
Parallelogram
C.
Rectangle
D.
Rhombus
Show solution
Solution
A quadrilateral with one pair of parallel sides is classified as a trapezium.
Correct Answer:
A
— Trapezium
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Q. If a quadrilateral has one pair of parallel sides, it is classified as which type? (2023)
A.
Parallelogram
B.
Trapezium
C.
Rectangle
D.
Rhombus
Show solution
Solution
A quadrilateral with one pair of parallel sides is classified as a trapezium.
Correct Answer:
B
— Trapezium
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Q. If a quadrilateral has one pair of parallel sides, what type of quadrilateral is it?
A.
Parallelogram
B.
Trapezium
C.
Rectangle
D.
Rhombus
Show solution
Solution
A quadrilateral with one pair of parallel sides is classified as a trapezium.
Correct Answer:
B
— Trapezium
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Q. If a quadrilateral is both a rectangle and a rhombus, what is it called?
A.
Square
B.
Trapezium
C.
Parallelogram
D.
Kite
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Solution
A quadrilateral that is both a rectangle and a rhombus is called a square.
Correct Answer:
A
— Square
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Q. If the area of a parallelogram is given by the formula base times height, what happens to the area if the height is halved?
A.
The area remains the same
B.
The area doubles
C.
The area is halved
D.
The area increases by 25%
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Solution
If the height of a parallelogram is halved, the area is also halved, as area = base × height.
Correct Answer:
C
— The area is halved
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Q. If the area of a quadrilateral is given by the formula A = 1/2 * d1 * d2 * sin(θ), where d1 and d2 are the lengths of the diagonals and θ is the angle between them, which type of quadrilateral does this formula apply to?
A.
Rectangle
B.
Parallelogram
C.
Kite
D.
Trapezium
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Solution
This formula applies to a kite, where the diagonals intersect at an angle.
Correct Answer:
C
— Kite
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Q. If the area of a quadrilateral is given by the formula A = 1/2 * d1 * d2 * sin(θ), what do d1 and d2 represent? (2023)
A.
The lengths of the sides.
B.
The lengths of the diagonals.
C.
The lengths of the altitudes.
D.
The lengths of the bases.
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Solution
In the formula for the area of a quadrilateral, d1 and d2 represent the lengths of the diagonals.
Correct Answer:
B
— The lengths of the diagonals.
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Q. If the diagonals of a quadrilateral are equal and bisect each other, which type of quadrilateral can it be?
A.
Trapezium
B.
Rectangle
C.
Rhombus
D.
Parallelogram
Show solution
Solution
If the diagonals of a quadrilateral are equal and bisect each other, it can be classified as a rectangle.
Correct Answer:
B
— Rectangle
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Q. If the diagonals of a quadrilateral bisect each other at right angles, which of the following can be concluded?
A.
It is a rectangle.
B.
It is a rhombus.
C.
It is a trapezium.
D.
It is a square.
Show solution
Solution
If the diagonals of a quadrilateral bisect each other at right angles, it indicates that the quadrilateral is a rhombus.
Correct Answer:
B
— It is a rhombus.
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Q. If the diagonals of a quadrilateral bisect each other at right angles, which of the following could it be?
A.
Rectangle
B.
Square
C.
Trapezium
D.
Kite
Show solution
Solution
A kite has diagonals that bisect each other at right angles.
Correct Answer:
D
— Kite
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Q. If the diagonals of a quadrilateral bisect each other, which of the following can be inferred?
A.
The quadrilateral is a parallelogram.
B.
The quadrilateral is a rectangle.
C.
The quadrilateral is a rhombus.
D.
The quadrilateral is a trapezium.
Show solution
Solution
A quadrilateral with diagonals that bisect each other is a parallelogram, but it can also be a rectangle or rhombus.
Correct Answer:
A
— The quadrilateral is a parallelogram.
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Q. If the diagonals of a quadrilateral bisect each other, which of the following can be concluded? (2023)
A.
The quadrilateral is a rectangle.
B.
The quadrilateral is a rhombus.
C.
The quadrilateral is a parallelogram.
D.
The quadrilateral is a trapezium.
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Solution
If the diagonals of a quadrilateral bisect each other, it is a property of parallelograms.
Correct Answer:
C
— The quadrilateral is a parallelogram.
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Q. If the diagonals of a quadrilateral bisect each other, which of the following could be true?
A.
It is a rectangle.
B.
It is a trapezium.
C.
It is a parallelogram.
D.
It is a kite.
Show solution
Solution
If the diagonals of a quadrilateral bisect each other, it is a property of parallelograms.
Correct Answer:
C
— It is a parallelogram.
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Q. If the diagonals of a quadrilateral bisect each other, which of the following must be true?
A.
It is a rectangle.
B.
It is a parallelogram.
C.
It is a square.
D.
It is a trapezium.
Show solution
Solution
A quadrilateral with diagonals that bisect each other is a parallelogram.
Correct Answer:
B
— It is a parallelogram.
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Q. If the lengths of the diagonals of a quadrilateral are equal, which of the following can be concluded?
A.
The quadrilateral is a rectangle.
B.
The quadrilateral is a rhombus.
C.
The quadrilateral is a square.
D.
The quadrilateral is a parallelogram.
Show solution
Solution
If the diagonals of a quadrilateral are equal, it can be concluded that the quadrilateral is a rectangle.
Correct Answer:
A
— The quadrilateral is a rectangle.
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Q. If the lengths of the diagonals of a rhombus are 10 cm and 24 cm, what is the area of the rhombus?
A.
120 cm²
B.
240 cm²
C.
60 cm²
D.
300 cm²
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Solution
The area of a rhombus can be calculated using the formula (1/2) × d1 × d2 = (1/2) × 10 × 24 = 120 cm².
Correct Answer:
B
— 240 cm²
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Q. If the sum of the interior angles of a quadrilateral is 360 degrees, what is the sum of the exterior angles?
A.
180 degrees
B.
360 degrees
C.
270 degrees
D.
90 degrees
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Solution
The sum of the exterior angles of any polygon is always 360 degrees.
Correct Answer:
B
— 360 degrees
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Q. In a cyclic quadrilateral, if one angle is 80 degrees, what is the maximum possible measure of the opposite angle?
A.
100 degrees
B.
80 degrees
C.
180 degrees
D.
90 degrees
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Solution
In a cyclic quadrilateral, opposite angles are supplementary. Therefore, if one angle is 80 degrees, the opposite angle can be 100 degrees.
Correct Answer:
A
— 100 degrees
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Q. In a cyclic quadrilateral, the opposite angles are related in which of the following ways?
A.
They are equal.
B.
They are supplementary.
C.
They are complementary.
D.
They are independent.
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Solution
In a cyclic quadrilateral, the opposite angles are supplementary, meaning they add up to 180 degrees.
Correct Answer:
B
— They are supplementary.
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Q. In a cyclic quadrilateral, the opposite angles are related in which way? (2023)
A.
They are equal.
B.
They are supplementary.
C.
They are complementary.
D.
They are independent.
Show solution
Solution
In a cyclic quadrilateral, the opposite angles are supplementary, meaning they add up to 180 degrees.
Correct Answer:
B
— They are supplementary.
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Q. In a cyclic quadrilateral, which of the following is true regarding its opposite angles?
A.
They are equal.
B.
They are supplementary.
C.
They are complementary.
D.
They are congruent.
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Solution
In a cyclic quadrilateral, the opposite angles are supplementary, meaning they add up to 180 degrees.
Correct Answer:
B
— They are supplementary.
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Q. In a cyclic quadrilateral, which of the following is true?
A.
The opposite angles are supplementary
B.
All sides are equal
C.
The diagonals are equal
D.
It has at least one right angle
Show solution
Solution
In a cyclic quadrilateral, the opposite angles are supplementary, meaning they add up to 180 degrees.
Correct Answer:
A
— The opposite angles are supplementary
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Q. In a cyclic quadrilateral, which of the following properties holds true?
A.
The sum of opposite angles is 180 degrees.
B.
All sides are equal.
C.
It has at least one right angle.
D.
The diagonals are equal.
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Solution
In a cyclic quadrilateral, the sum of opposite angles is always 180 degrees.
Correct Answer:
A
— The sum of opposite angles is 180 degrees.
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Q. In a cyclic quadrilateral, which of the following statements is true?
A.
The opposite angles are supplementary.
B.
All sides are equal.
C.
It has at least one right angle.
D.
It can only be a square.
Show solution
Solution
In a cyclic quadrilateral, the opposite angles are supplementary, meaning they add up to 180 degrees.
Correct Answer:
A
— The opposite angles are supplementary.
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Q. In a parallelogram, if one angle measures 60 degrees, what is the measure of the opposite angle?
A.
60 degrees
B.
120 degrees
C.
90 degrees
D.
180 degrees
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Solution
In a parallelogram, opposite angles are equal, so the opposite angle also measures 60 degrees.
Correct Answer:
A
— 60 degrees
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