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