Geometry For Kids Trivia Quiz

Answer: 90

A right angle measures 90 degrees. Imagine if you spun all of the way around --that would be 360 degrees (like a circle). If you simply turned from facing front to facing towards the right, that would be 90 degrees.

Incidentally, you could also use a formula called the Pythagorean theorem to determine the perimeter (distance around the edge) of a right triangle. The formula would be (A x A) + (B X B) = (C x C), where C is the hypotenuse (or side of the triangle opposite of the right angle and A and B are two legs (or other sides) of the triangle. Therefore, if the two legs are three inches and four inches, the hypotenuse would be five inches for a total of 12 inches.

(A x A) + (B x B) = (C x C)
(3 X 3) + (4 x 4) = (5 x 5)
9 + 16 = 25

Answer: 60

The three interior angles of a triangle always add up to 180 degrees. If the three angles are the same number of angles, one could simply divide 180 degrees by 3 to get the answer of 60 degrees.

An equiangular/equilateral triangle can also be called an acute triangle where all three angles are less than 90 degrees. A triangle with one angle of 90 degrees is a right triangle. A triangle with one angle of more than 90 degrees is an obtuse triangle. Since the angles of the triangle always add up to 180 degrees, there can never be two or more right or obtuse angles in a triangle.

Answer: Trapezoid

A trapezoid is called a trapezium outside of North America. When two lines or sides are parallel, it means that they are always the same distance apart rather than growing closer or farther away. In this case I intended the sides AB and CD to appear parallel to each other. The sides BC and DA are not parallel. If sides BC and DA were also parallel, this shape would be a parallelogram.

A rhombus is a parallelogram where the four sides are each the same length but the interior angles are not all necessarily the same. Geometry does not refer to a shape called an arrowhead.

Answer: All sides must be the same length

While a rectangle could have all four sides the same length, it is not required. A rectangle with all four of the sides the same length would usually be called a square.

Since a rectangle is a type of parallelogram, the opposite sides are parallel to each other. A rectangle also has four identical interior angles, in this case right angles which are 90 degrees each. All quadrilaterals have interior angles that all up to 360 degrees.

Answer: one side

The definition of a square is a shape that is not only a parallelogram (a four-sided shape with opposite sides parallel to each other) but also a rectangle (having right angles between adjacent sides) and a rhombus (each side the same length). If this square had a side that measured five inches, we would know that every other side was also five inches, leading to a total of 20 inches for the perimeter.

Another example of a square is a baseball diamond (though it might help see imagine this if you turn your head a bit to look at it). The distance between any two bases (if home plate is counted as a base) except home plate and second base OR first base and third base is 90 feet. The distance between home plate and second base OR first base and third base is about 136 feet. Also, if you drew a line along that 136-foot length you would see that the square of the baseball diamond was divided into two identical right triangles.

Answer: Pentagon

This five-sided polygon (shape) is called a pentagon. The prefix penta means five and the suffix gon refers to sides of a shape. Some houses may look like a pentagon if you look at them from a particular angle. There are five interior angles that are each 108 degrees in a regular pentagon (where all of the sides are the same length). The total of the five angles would be 540 degrees. The floor and sides of the house would form three sides with the two halves of the roof forming the other two sides.

The emblem on Superman's uniform where the "S" is contained is also an example of a pentagon. The Pentagon (with a capital letter) is a large office building in Arlington, VA that is the headquarters of the US Department of Defense. The Pentagon, believe it or not, was the largest office building in the world when it was built.

Answer: Hexagon

This six-sided shape is called a hexagon. The prefix hexa- means six. A regular hexagon would have six interior angles that are each 120 degrees for a total of 720 degrees. In nature, the interior cells of a healthy beehive are shaped like hexagons. Hexagons can be found in many other places in nature.

Answer: Octagon

This eight-sided shape is called an octagon. The prefix octa- means eight. An octopus is a sea animal with eight arms. In a regular octagon, each interior angle is 135 degrees for a total of 1080 degrees. In the United States, the stop sign found alongside many streets is shaped like an octagon. Octagons are also used in the floor plans of many famous buildings.

A nonagon (an answer used in Questions 6, 7, and 8) is a nine-sided shape.

Answer: 18 inches

To calculate the circumference of a circle, one needs to use a special number represented by the Greek letter pi that is equal to about 3.14. (I say about because mathematicians have worked for thousands of years to try to determine the exact value of pi). To calculate the circumference of a circle, one would multiply the diameter by pi.

In this case, this would be 6 inches multiplied by about 3.14, giving a circumference of about 18.42 inches.

Answer: 27 square inches

To calculate the area of a circle, one would multiply pi by the square of the radius (that is, the radius times the radius). For the example used in the question the answer would be 3 x 3 x 3.14, which would equal about 28.26 inches. The number pi is sometimes also called Archimedes' constant (after the ancient Greek mathematician).