#1
Which of the following is a postulate of Euclidean geometry?
The sum of the angles in a triangle is 180 degrees.
ExplanationFundamental property of triangles in Euclidean geometry.
#2
What is the measure of each interior angle in a regular hexagon?
120 degrees
ExplanationResult of dividing 360 degrees by the number of sides.
#3
What is the measure of a straight angle?
180 degrees
ExplanationAngle that forms a straight line.
#4
Which of the following is not a type of triangle based on side lengths?
Acute triangle
ExplanationClassification of triangles based on angles, not side lengths.
#5
What is the sum of the interior angles of a quadrilateral?
360 degrees
ExplanationSum of angles in a four-sided polygon.
#6
What is the measure of each interior angle of a regular pentagon?
108 degrees
ExplanationResult of dividing 540 degrees by the number of sides.
#7
In a triangle, if one angle is 90 degrees, what is the name given to such a triangle?
Right triangle
ExplanationTriangle with one 90-degree angle.
#8
What is the name of a polygon with six sides?
Hexagon
ExplanationPolygon with six sides.
#9
What is the formula for finding the area of a circle with radius 'r'?
πr^2
ExplanationFormula for the area of a circle.
#10
In a parallelogram, opposite sides are _______ and opposite angles are _______.
congruent, supplementary
ExplanationProperties of sides and angles in a parallelogram.
#11
What is the relationship between the radius and diameter of a circle?
Diameter = 2 * Radius
ExplanationRelationship between the diameter and radius of a circle.
#12
What is the sum of the measures of the exterior angles of any polygon?
360 degrees
ExplanationSum of exterior angles of a polygon.
#13
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
ExplanationRelationship between the sides of a right triangle.
#14
Which of the following is true for similar triangles?
They have proportional side lengths.
ExplanationCharacteristic of similar triangles.
#15
What is the name of a polygon with seven sides?
Heptagon
ExplanationPolygon with seven sides.
#16
What is the sum of the measures of the angles in a convex n-sided polygon?
(n - 2) * 180 degrees
ExplanationFormula for the sum of interior angles in a polygon.
#17
In a triangle, what is the relationship between the lengths of the sides and the corresponding angles?
The longest side is opposite the largest angle.
ExplanationRelationship between sides and angles in a triangle.