#1
What is the formula to find the area of a rectangle?
A = l * w
ExplanationArea equals length times width.
#2
Which of the following is true about a square?
All sides are equal
ExplanationAll sides of a square are equal in length.
#3
What is the name of a polygon with seven sides?
Heptagon
ExplanationA polygon with seven sides is called a heptagon.
#4
In a parallelogram, what is the relationship between opposite angles?
They are equal
ExplanationOpposite angles in a parallelogram are equal.
#5
What is the name of a polygon with ten sides?
Decagon
ExplanationA polygon with ten sides is called a decagon.
#6
In a circle, what is the ratio of the circumference to the diameter?
2π
ExplanationThe ratio of the circumference to the diameter in a circle is 2π.
#7
What is the name of a polygon with twelve sides?
Dodecagon
ExplanationA polygon with twelve sides is called a dodecagon.
#8
What is the sum of the interior angles of a triangle?
180 degrees
ExplanationThe sum of interior angles of a triangle is always 180 degrees.
#9
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?
Pythagoras' theorem
ExplanationPythagoras' theorem describes the relationship between the sides of a right triangle.
#10
Which theorem states that the area of a triangle is equal to half the product of the lengths of two sides and the sine of the included angle?
Sine rule
ExplanationThe sine rule relates the sides and angles of a triangle.
#11
What is the measure of an exterior angle of a regular pentagon?
54 degrees
ExplanationEach exterior angle of a regular pentagon measures 54 degrees.
#12
Which theorem states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent?
SAS Congruence
ExplanationSAS Congruence states the conditions for triangle congruence.
#13
What is the measure of the central angle subtended by an arc that is one-third of the circumference of a circle?
180 degrees
ExplanationThe central angle subtended by one-third of the circumference of a circle is 180 degrees.
#14
Which theorem states that the ratio of the lengths of the sides of a right triangle is equal to the ratio of the lengths of the sides of the similar triangles?
SSS similarity theorem
ExplanationSSS similarity theorem relates the sides of right triangles to similar triangles.
#15
What is the formula to find the volume of a sphere?
V = 4/3 * π * r^3
ExplanationVolume equals four-thirds times pi times the cube of the radius.
#16
Which geometric figure has all sides and all angles equal?
Equilateral triangle
ExplanationAn equilateral triangle has all sides and angles equal.
#17
Which theorem states that the areas of two similar triangles are proportional to the squares of any two corresponding sides?
Similarity theorem
ExplanationSimilarity theorem governs the proportional relationship between similar triangles.
#18
Which theorem states that the sum of the measures of the exterior angles of a polygon, one at each vertex, is always 360 degrees?
Exterior angle theorem
ExplanationExterior angle theorem states the sum of exterior angles in a polygon.
#19
Which theorem states that the medians of a triangle intersect at a point that is two-thirds of the distance from each vertex to the midpoint of the opposite side?
Centroid theorem
ExplanationThe centroid theorem describes the relationship between medians of a triangle.