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Plane Geometry Concepts Quiz

#1

Which of the following shapes has 4 equal sides and 4 right angles?

Square
Explanation

A square has all sides equal and each angle measures 90 degrees.

#2

What is the sum of the interior angles of a triangle?

180 degrees
Explanation

The sum of interior angles in any triangle is always 180 degrees.

#3

In a right triangle, which side is opposite to the right angle?

Hypotenuse
Explanation

The side opposite the right angle in a right triangle is called the hypotenuse.

#4

What is the formula to find the perimeter of a rectangle?

P = 2 * length + 2 * width
Explanation

The perimeter of a rectangle is calculated using the formula P = 2 * length + 2 * width.

#5

What is the sum of the interior angles of a quadrilateral?

360 degrees
Explanation

The sum of the interior angles in any quadrilateral is always 360 degrees.

#6

What is the circumference of a circle with a radius of 5 units (rounded to the nearest tenth)?

31.4 units
Explanation

The circumference of a circle is calculated using the formula C = 2πr, where r is the radius.

#7

Which of the following is true about an isosceles triangle?

Two sides are of equal length
Explanation

In an isosceles triangle, two sides have the same length.

#8

What is the measure of each interior angle in a regular hexagon?

120 degrees
Explanation

In a regular hexagon, each interior angle measures 120 degrees.

#9

Which of the following is true about a parallelogram?

Opposite sides are of equal length and parallel
Explanation

In a parallelogram, opposite sides are equal in length and parallel.

#10

What is the name of a quadrilateral with only one pair of parallel sides?

Trapezoid
Explanation

A trapezoid is a quadrilateral with only one pair of parallel sides.

#11

What is the formula to find the area of a trapezoid?

A = base1 + base2 * height / 2
Explanation

The area of a trapezoid is calculated using the formula A = (base1 + base2) * height / 2.

#12

What is the formula to find the volume of a cylinder?

V = π * r^2 * h
Explanation

The volume of a cylinder is calculated using the formula V = π * r^2 * h.

#13

What is the formula to find the volume of a sphere?

V = 4/3 * π * r^3
Explanation

The volume of a sphere is calculated using the formula V = 4/3 * π * r^3.

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