#1
What is the sum of interior angles in a triangle?
180 degrees
ExplanationAngles inside a triangle add up to 180 degrees.
#2
Which geometric shape has all sides equal and all angles equal?
Square
ExplanationA square has all sides and angles equal.
#3
What is the measure of each interior angle in a regular hexagon?
120 degrees
ExplanationEach interior angle of a regular hexagon measures 120 degrees.
#4
What is the formula for the perimeter of a rectangle?
2 × length + 2 × width
ExplanationThe perimeter of a rectangle is calculated by adding the lengths of all sides, which is twice the length plus twice the width.
#5
How many sides does a dodecagon have?
12
ExplanationA dodecagon has 12 sides.
#6
What is the formula for the area of a circle?
πr^2
ExplanationThe area of a circle is calculated using the formula: πr².
#7
In a right-angled triangle, what is the side opposite the right angle called?
Hypotenuse
ExplanationThe side opposite the right angle in a right-angled triangle is called the hypotenuse.
#8
What is the sum of the interior angles in a hexagon?
540 degrees
ExplanationInterior angles of a hexagon sum up to 540 degrees.
#9
Which geometric shape has no sides or angles?
Circle
ExplanationA circle has no sides or angles.
#10
Which term describes a quadrilateral with opposite sides parallel and equal length?
Parallelogram
ExplanationA parallelogram has opposite sides parallel and equal in length.
#11
What is the relationship between the radius and diameter of a circle?
Diameter = 2 × Radius
ExplanationThe diameter of a circle is twice the radius.
#12
What is the Pythagorean Theorem?
a^2 + b^2 = c^2
ExplanationThe Pythagorean Theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
#13
How many degrees are in the exterior angle of a regular pentagon?
72 degrees
ExplanationEach exterior angle of a regular pentagon measures 72 degrees.
#14
What is the formula for the volume of a sphere?
(4/3)πr^3
ExplanationThe volume of a sphere is calculated using the formula: (4/3)πr³.
#15
Which geometric shape has exactly one pair of parallel sides?
Trapezoid
ExplanationA trapezoid has exactly one pair of parallel sides.