Test Your GK: Math Quiz!

The statement "All triangles are two-dimensional" is correct because a triangle is a two-dimensional geometric shape that lies in a plane. Triangles have three sides and three angles, and they exist in a two-dimensional space. This distinguishes them from three-dimensional shapes like cubes or spheres. The other options (obtuse, acute, and scalene) describe specific types or properties of triangles, but the statement that all triangles are two-dimensional is a general fact about their nature.

The SAS (Side-Angle-Side) postulate states that if two sides and the included angle of one triangle are congruent to the corresponding sides and included angle of another triangle, then the two triangles are congruent. In this case, the question states that two sides and the included angles of two triangles are congruent, which fits the criteria for the SAS postulate. Therefore, the correct answer is SAS Postulate.

The statement "All triangles are polygons" is true because a triangle is a type of polygon. A polygon is a closed figure with straight sides, and a triangle is a polygon with three sides. Therefore, all triangles can be classified as polygons.

An angle greater than 180 degrees but less than 360 degrees is called a reflexive angle.

A triangle with all different length sides is called a scalene triangle. In a scalene triangle, none of the sides are equal in length. This is in contrast to an isosceles triangle, where two sides are equal, or an equilateral triangle, where all three sides are equal. Therefore, the correct answer is a scalene triangle.

In a right triangle, the hypotenuse is the longest side and is opposite the right angle. According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the square of side 3 is 9 and the square of side 4 is 16. Adding these together gives 25. Taking the square root of 25 gives us 5, which is the length of the hypotenuse. Therefore, the correct answer is 5.

The answer is "Less Than" because no matter how large the number 99,000,000,000 is multiplied by 9, the result will always be a finite number. Infinity is a concept that represents an endless, limitless quantity, and any finite number multiplied by 9 will still be finite. Therefore, the product of 99,000,000,000 x 9 is less than infinity.

The volume of a cube is calculated by multiplying the length of one side by itself twice. In this case, since the length of each side is 4 feet, the volume would be 4 feet multiplied by 4 feet multiplied by 4 feet, which equals 64 cubic feet.

The binary number system uses only two digits, 0 and 1. When converting the decimal number 100 to binary, we divide it by 2 repeatedly and record the remainders. The remainders, in reverse order, give us the binary representation. In this case, when we divide 100 by 2, the remainder is 0. Dividing the quotient (50) by 2 again, the remainder is 0. This process continues until we reach 0 as the quotient. So, the binary representation of 100 is 1100100.

To find the value that must be subtracted from -2/3 to get 3/5, we can subtract the two fractions. When we subtract -2/3 from 3/5, we get -1.266666666666667. Therefore, -1.266666666666667 must be subtracted from -2/3 to get 3/5.

The ratio of the length of the opposite side to the length of the hypotenuse of a triangle is referred to as the sine.

A convex polygon is a polygon in which all its interior angles are less than 180 degrees. The sum of the interior angles of any polygon can be found using the formula (n-2) * 180, where n is the number of sides of the polygon. In this case, (n-2) * 180 = 1800. Solving this equation, we find that n-2 = 10, which means n = 12. Therefore, the polygon has 12 sides.

Kelvin is an absolute temperature scale where 0 Kelvin represents absolute zero, the lowest possible temperature. In comparison, 0 Degree Celsius and 0 Degree Fahrenheit are arbitrary reference points for the freezing point of water, and 0 Newton is not a temperature scale but a unit of force. Therefore, 0 Kelvin is the coldest temperature among the given options.

There are 94 whole numbers between 3 and 98. To find the number of whole numbers between two given numbers, subtract one from the larger number and subtract the smaller number from the result. In this case, 98 - 3 - 1 = 94.

To calculate the amount of fencing required to enclose a farm, we need to find the perimeter of the farm. The perimeter is calculated by adding up the lengths of all sides. In this case, the farm has two sides measuring 25 units each and two sides measuring 10 units each. Adding these lengths together gives us a perimeter of 70 units. Therefore, 70 units of fencing are required to enclose the farm.