Which statement is always true about a triangle's interior angles?
The sum of the interior angles is 90 degrees.
The sum of the interior angles is 180 degrees.
The sum of the interior angles is 270 degrees.
The sum of the interior angles is 360 degrees.
#2
In a right triangle, which side is always the longest?
Adjacent side
Opposite side
Hypotenuse
None of the above
#3
What is the name of a quadrilateral with all sides equal in length?
Square
Rectangle
Rhombus
Parallelogram
#4
Which theorem states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides?
Pythagorean theorem
Thales' theorem
Euclid's theorem
Fermat's Last Theorem
#5
What is the name of the process of reasoning from one or more statements (premises) to reach a logically certain conclusion?
Inductive reasoning
Deductive reasoning
Abductive reasoning
Scientific reasoning
#6
Which of the following is a postulate in Euclidean geometry?
The sum of the interior angles of a triangle is 180 degrees.
Parallel lines never intersect.
The length of a circle's circumference is twice its radius.
The area of a triangle is base times height divided by 2.
#7
In geometry, what is the name of the type of proof where the reasoning is based on a series of accepted truths, called axioms and postulates, to deduce a conclusion?
Inductive proof
Deductive proof
Empirical proof
Experimental proof
#8
Which of the following is a valid reason in a geometric proof?
Because it looks correct.
Because it works for similar shapes.
Because it's always been done that way.
Because it follows logically from the given information.
#9
Which of the following is a valid step in a two-column proof?