#1
Which of the following is a basic postulate of Euclidean geometry?
The Pythagorean theorem
The sum of angles in a triangle is 180 degrees
The circumference of a circle is 2πr
Parallel lines never meet
#2
In a right triangle, which side is opposite the right angle?
Adjacent side
Opposite side
Hypotenuse
None of the above
#3
What is the formula for the area of a circle with radius 'r'?
A = πr
A = 2πr
A = πr^2
A = 2πr^2
#4
Which of the following statements about parallel lines is true?
They intersect at one point
They intersect at two points
They do not intersect
They intersect at infinite points
#5
What is the formula for the volume of a sphere with radius 'r'?
V = (4/3)πr^3
V = (4/3)πr^2
V = 2πr^3
V = πr^3
#6
What is the measure of each interior angle in a regular pentagon?
90 degrees
108 degrees
120 degrees
144 degrees
#7
What is the sum of the interior angles of an octagon?
720 degrees
900 degrees
1080 degrees
1440 degrees
#8
What is the measure of each exterior angle of a regular hexagon?
45 degrees
60 degrees
90 degrees
120 degrees
#9
What is the sum of the exterior angles of any polygon?
90 degrees
180 degrees
360 degrees
720 degrees
#10
What is the sum of the measures of the angles in a hexagon?
360 degrees
540 degrees
720 degrees
900 degrees
#11
Which theorem states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides?
Pythagorean theorem
Law of Sines
Law of Cosines
Theorem of Pythagoras
#12
Which geometric figure has all sides of equal length and all interior angles of equal measure?
Rectangle
Rhombus
Parallelogram
Trapezoid
#13
What is the measure of each interior angle of a regular decagon?
140 degrees
144 degrees
150 degrees
160 degrees
#14
Which 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?
ASA (Angle-Side-Angle) Congruence Theorem
SSS (Side-Side-Side) Congruence Theorem
SAS (Side-Angle-Side) Congruence Theorem
AA (Angle-Angle) Similarity Theorem
#15
Which theorem states that if the three sides of one triangle are proportional to the three corresponding sides of another triangle, then the triangles are similar?
ASA (Angle-Side-Angle) Similarity Theorem
SSS (Side-Side-Side) Similarity Theorem
SAS (Side-Angle-Side) Similarity Theorem
AA (Angle-Angle) Congruence Theorem