#1
In a triangle, what is the sum of the interior angles?
360 degrees
ExplanationThe total sum of the interior angles in a triangle is always 360 degrees.
#2
What is the measure of each interior angle of a regular hexagon?
120 degrees
ExplanationEach interior angle of a regular hexagon measures 120 degrees.
#3
What is the measure of the central angle of a circle if it subtends an arc of 90 degrees?
60 degrees
ExplanationThe measure of the central angle is half the measure of the intercepted arc.
#4
What is the formula to calculate the area of a circle?
πr^2
ExplanationThe area of a circle is calculated using the formula: pi * radius squared.
#5
In a right triangle, what is the relationship between the squares of the lengths of the two shorter sides and the square of the length of the hypotenuse?
The sum of the squares of the two shorter sides equals the square of the hypotenuse
ExplanationThis relationship is described by Pythagoras' Theorem.
#6
In a parallelogram, what can be said about the opposite sides and angles?
Opposite sides are equal, opposite angles are equal
ExplanationIn a parallelogram, opposite sides are equal in length, and opposite angles are equal in measure.
#7
What is the name of the theorem that states 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?
Pythagoras' Theorem
ExplanationPythagoras' Theorem establishes this relationship in right triangles.
#8
Which of the following is NOT a congruence criterion for triangles?
AAA (Angle-Angle-Angle)
ExplanationAAA (Angle-Angle-Angle) is not sufficient to prove triangle congruence.
#9
Which of the following statements about similar triangles is true?
They have congruent corresponding angles and proportional corresponding sides
ExplanationSimilar triangles have equal corresponding angles and proportional corresponding sides.
#10
If two triangles are similar, what can you say about their corresponding angles and corresponding sides?
Corresponding angles are equal, corresponding sides are proportional
ExplanationIn similar triangles, corresponding angles are equal, and corresponding sides are in proportion.
#11
If two polygons are similar, what is the relationship between their perimeters?
They are proportional
ExplanationThe perimeters of similar polygons are in proportion to their corresponding side lengths.
#12
In a circle, what is the relationship between the lengths of an inscribed angle and its intercepted arc?
They are equal
ExplanationAn inscribed angle in a circle subtends an arc whose measure is equal to the angle's measure.