#1
Which of the following is a property of a parallelogram?
Opposite sides are equal in length
ExplanationOpposite sides of parallelogram are of equal length.
#2
What is the Pythagorean theorem?
a² + b² = c²
ExplanationPythagorean theorem relates sides of a right triangle.
#3
Which geometric figure has all sides equal in length and all angles equal to 90 degrees?
Square
ExplanationSquare has equal sides and 90° angles.
#4
What is the sum of the angles in any triangle?
180 degrees
ExplanationSum of interior angles of any triangle is 180°.
#5
Which statement is true for a rhombus?
All sides are equal in length
ExplanationRhombus has all sides of equal length.
#6
In a right-angled triangle, what is the relationship between the squares of the two legs and the square of the hypotenuse?
Sum of the squares of legs is equal to the square of the hypotenuse
ExplanationPythagorean theorem: a² + b² = c².
#7
Which statement is true about similar triangles?
Their corresponding angles are equal
ExplanationSimilar triangles have equal corresponding angles.
#8
In a circle, what is the relationship between the radius and the diameter?
Diameter = 2 * Radius
ExplanationDiameter of a circle is twice its radius.
#9
What is the formula for the area of a trapezoid?
(base1 + base2) * height / 2
ExplanationTrapezoid area: (sum of bases) * height / 2.
#10
What is the sum of the interior angles of a pentagon?
540 degrees
ExplanationInterior angles of a pentagon sum up to 540°.
#11
What is the sum of the interior angles of a hexagon?
360 degrees
ExplanationInterior angles of a hexagon sum up to 360°.
#12
If a triangle is equilateral, what can be said about its angles?
All angles are equal
ExplanationIn an equilateral triangle, all angles are equal.
#13
In a right-angled triangle, what is the relationship between the acute angles?
They are complementary
ExplanationAcute angles of a right triangle are complementary.
#14
What is the formula for the circumference of a circle?
2 * π * radius
ExplanationCircumference of a circle: 2πr.
#15
What is the relationship between opposite angles in a cyclic quadrilateral?
They are supplementary
ExplanationOpposite angles in a cyclic quadrilateral are supplementary.