Geometry - One Line Questions
1.
The sum of the interior angles of a polygon with 'n' sides is given by the formula: —
(n-2) * 180 degrees
2.
What is the angle formed by a tangent and a radius drawn to the point of tangency? —
90 degrees
3.
What is the area of a parallelogram with base 'b' and height 'h'? —
b * h
4.
What is the measure of each interior angle of a regular hexagon? —
120 degrees
5.
What is the sum of the exterior angles of any convex polygon? —
360 degrees
6.
The sum of the angles in a quadrilateral is: —
360 degrees
7.
What is the area of a rectangle with length 'l' and width 'w'? —
l * w
8.
The area of a circle with radius 'r' is given by the formula: —
π * r^2
9.
What is the diameter of a circle if its radius is 7 cm? —
14 cm
10.
What is the measure of an angle inscribed in a semicircle? —
90 degrees
11.
What is the measure of a central angle subtended by an arc that is one-third of the circumference of a circle? —
120 degrees
12.
If two angles of a triangle are 45 degrees and 60 degrees, what is the third angle? —
75 degrees
13.
What is the measure of each exterior angle of a regular pentagon? —
72 degrees
14.
What is the sum of the interior angles of a triangle? —
180 degrees
15.
What is the sum of angles around a point? —
360 degrees
16.
In a cyclic quadrilateral, the sum of opposite angles is: —
180 degrees
17.
A triangle with angles 30, 60, and 90 degrees is a type of: —
Right-angled triangle
18.
A triangle where one angle is greater than 90 degrees is called an: —
Obtuse triangle
19.
Which of the following is NOT a type of triangle based on angles? —
Isosceles triangle
20.
If two lines intersect, the angles opposite each other at the intersection point are called: —
Vertically opposite angles
21.
What is the property of an equilateral triangle? —
All sides and all angles are equal
22.
If a line segment divides a triangle into two smaller triangles of equal area, the line segment must be a: —
Median
23.
In similar triangles, the ratio of their corresponding sides is equal to the ratio of their: —
All of the above
24.
What is the area of a triangle with base 'b' and height 'h'? —
0.5 * b * h
25.
A line that touches a circle at exactly one point is called a: —
Tangent
26.
The distance from the center of a circle to any point on its circumference is called the: —
Radius
27.
In an isosceles triangle, the angles opposite the equal sides are: —
Equal
28.
What is a polygon with 5 sides called? —
Pentagon
29.
A triangle with all three sides of different lengths is called a: —
Scalene triangle
30.
What is the perimeter of a rectangle with length 'l' and width 'w'? —
2 * (l + w)
31.
What is the total number of diagonals in a polygon with 'n' sides? —
n * (n-3) / 2
32.
A rhombus with all angles equal to 90 degrees is a: —
Square
33.
If two triangles are similar, their corresponding angles are: —
Equal
34.
What is the ratio of the circumference of a circle to its diameter? —
π
35.
A line segment that connects two points on a circle is called a: —
Chord
36.
A line segment passing through the center of a circle and whose endpoints lie on the circle is called a: —
Diameter
37.
What is a quadrilateral with four equal sides and four right angles called? —
Square
38.
A quadrilateral with at least one pair of parallel sides is called a: —
Trapezoid
39.
What geometric shape has two parallel sides of unequal length and two non-parallel sides? —
Trapezoid
40.
What is the length of the diagonal of a square with side length 's'? —
s * sqrt(2)
41.
What is the perimeter of a square with side length 's'? —
4 * s
42.
In a triangle, if two sides are equal, what type of triangle is it called? —
Isosceles triangle
43.
What is the area of a triangle with sides a, b, and c, and semi-perimeter s, using Heron's formula? —
sqrt(s * (s-a) * (s-b) * (s-c))
44.
If two parallel lines are intersected by a transversal, the alternate interior angles are: —
Equal
45.
Which theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides? —
Pythagorean Theorem
46.
What is the relationship between the angle at the center and the angle at the circumference subtended by the same arc in a circle? —
The central angle is double the circumference angle
47.
What is the distance between two parallel lines? —
The length of the perpendicular segment connecting them
48.
What is the relationship between the angles in a linear pair? —
49.
The line segment joining the midpoints of two sides of a triangle is parallel to the third side and is: —
Half the length of the third side
50.
The formula for the circumference of a circle with radius 'r' is: —
2 * π * r