#1
Which statement is always true about a triangle's interior angles?
The sum of the interior angles is 180 degrees.
ExplanationTriangles always have interior angles that add up to 180 degrees.
#2
In a right triangle, which side is always the longest?
Hypotenuse
ExplanationThe hypotenuse is always the longest side in a right triangle.
#3
What is the name of a quadrilateral with all sides equal in length?
Rhombus
ExplanationA quadrilateral with all sides equal is called a rhombus.
#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
ExplanationThe Pythagorean theorem relates the sides of a right-angled triangle.
#5
What is the name of the process of reasoning from one or more statements (premises) to reach a logically certain conclusion?
Deductive reasoning
ExplanationDeductive reasoning involves drawing logical conclusions from given premises.
#6
Which of the following is a postulate in Euclidean geometry?
Parallel lines never intersect.
ExplanationIn Euclidean geometry, a postulate is that parallel lines never intersect.
#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?
Deductive proof
ExplanationDeductive proofs use accepted axioms and postulates to derive conclusions.
#8
Which of the following is a valid reason in a geometric proof?
Because it follows logically from the given information.
ExplanationLogical deduction from given information is a valid reason in a geometric proof.
#9
Which of the following is a valid step in a two-column proof?
Using a theorem without citing its source.
ExplanationUsing a theorem without citing its source is a valid step in a two-column proof.