#1
What is the sum of the interior angles of a triangle?
180 degrees
ExplanationThe sum of angles in a triangle is always 180 degrees.
#2
In a right triangle, what is the side opposite to the right angle called?
Hypotenuse
ExplanationThe side opposite the right angle in a right triangle is called the hypotenuse.
#3
In a parallelogram, opposite sides are ________.
Parallel
ExplanationOpposite sides of a parallelogram are parallel.
#4
What is the formula to find the area of a rectangle?
Length × Width
ExplanationThe area of a rectangle is found by multiplying its length and width.
#5
What is the sum of the interior angles of a hexagon?
360 degrees
ExplanationThe sum of interior angles in a hexagon is always 360 degrees.
#6
Which postulate/theorem states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent?
Side-Angle-Side (SAS) Postulate
ExplanationTriangles are congruent if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.
#7
Which theorem states that in a right 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
ExplanationIn a right triangle, the Pythagorean Theorem relates the lengths of the sides: c² = a² + b².
#8
Which theorem states that if a line intersects two or more parallel lines, then it divides the lines into proportional segments?
Segment Addition Postulate
ExplanationWhen a line intersects parallel lines, it divides them proportionally according to the Segment Addition Postulate.
#9
In a triangle, what is the median?
A line segment drawn from a vertex to the midpoint of the opposite side
ExplanationThe median of a triangle is a line segment from a vertex to the midpoint of the opposite side.
#10
What is the formula for the circumference of a circle?
2πr
ExplanationThe circumference of a circle is calculated using the formula 2πr.
#11
Which postulate/theorem states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent?
Angle-Side-Angle (ASA) Postulate
ExplanationTriangles are congruent if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.
#12
Which theorem states that if a line is perpendicular to one of two parallel lines, it is perpendicular to the other as well?
Perpendicular Transversal Theorem
ExplanationIf a line is perpendicular to one of two parallel lines, it is perpendicular to the other, according to the Perpendicular Transversal Theorem.
#13
What is the measure of one interior angle of a regular octagon?
135 degrees
ExplanationThe measure of one interior angle in a regular octagon is 135 degrees.
#14
What is the measure of each exterior angle of a regular pentagon?
108 degrees
ExplanationThe measure of each exterior angle in a regular pentagon is 108 degrees.
#15
What is the sum of the interior angles of a pentagon?
540 degrees
ExplanationThe sum of interior angles in a pentagon is always 540 degrees.