- 1. Geometry is a branch of mathematics that deals with the properties and relationships of points, lines, angles, surfaces, and solids. It is the study of shapes and their configurations in space. Geometry is used in various fields such as architecture, engineering, art, and physics to analyze and measure the physical world. The fundamental concepts in geometry include points, lines, planes, angles, polygons, circles, and solid figures. By studying geometry, we can understand the spatial relationships of objects and visualize the world around us in a more precise and systematic way.
What is the measurement of all angles in a triangle?
A) 360 degrees
B) 120 degrees
C) 180 degrees
D) 90 degrees
- 2. What is the area of a rectangle with length 5 units and width 7 units?
A) 42 square units
B) 12 square units
C) 35 square units
D) 25 square units
- 3. Which of the following shapes has no vertices?
A) Circle
B) Rectangle
C) Triangle
D) Square
- 4. What are the three angles of a right-angled triangle?
A) 30 degrees, 30 degrees, 120 degrees
B) 60 degrees, 60 degrees, 60 degrees
C) 90 degrees, 90 degrees, 30 degrees
D) 90 degrees, 45 degrees, 45 degrees
- 5. A polygon with eight sides is called a(n) _____?
A) Octagon
B) Decagon
C) Hexagon
D) Pentagon
- 6. The Pythagorean theorem is used to calculate the length of which side of a right triangle?
A) Altitude
B) Perimeter
C) Base
D) Hypotenuse
- 7. How many faces does a cube have?
A) 6
B) 4
C) 12
D) 8
- 8. A line that intersects two or more other lines at different points is called a _____?
A) Perpendicular
B) Tangent
C) Parallel
D) Transversal
- 9. Which of the following is a type of triangle with no equal sides or angles?
A) Scalene
B) Isosceles
C) Equilateral
D) Right-angled
- 10. A triangle with all three sides of different lengths is called a _____?
A) Scalene triangle
B) Isosceles triangle
C) Equilateral triangle
D) Right triangle
- 11. An angle that measures more than 90 degrees but less than 180 degrees is called a _____?
A) Straight angle
B) Obtuse angle
C) Acute angle
D) Right angle
- 12. What is the sum of the exterior angles of any polygon?
A) 540 degrees
B) 90 degrees
C) 360 degrees
D) 180 degrees
- 13. A polygon with five sides is called a(n) _____?
A) Hexagon
B) Pentagon
C) Octagon
D) Tetragon
- 14. The line segment connecting the center of a circle to any point on the circle is called a _____?
A) Secant
B) Chord
C) Radius
D) Diameter
- 15. How many sides does a heptagon have?
A) 8
B) 7
C) 5
D) 6
- 16. What is the area of a circle with radius 4 units (use π ≈ 3.14)?
A) 50.24 square units
B) 12.56 square units
C) 25.12 square units
D) 100.48 square units
- 17. The point where the two sides of an angle meet is called the _____?
A) Origin
B) Vertex
C) Endpoint
D) Midpoint
- 18. A triangle with one angle measuring exactly 90 degrees is called a _____?
A) Equilateral triangle
B) Obtuse triangle
C) Scalene triangle
D) Right triangle
- 19. A quadrilateral with opposite sides parallel and equal in length is called a _____?
A) Rectangle
B) Parallelogram
C) Square
D) Rhombus
- 20. What is a line that touches a circle at exactly one point called?
A) Chord
B) Secant
C) Tangent
D) Diameter
- 21. How many total degrees are in a pentagon?
A) 450 degrees
B) 720 degrees
C) 360 degrees
D) 540 degrees
- 22. A triangle in which all sides are of equal length is called a _____?
A) Isosceles triangle
B) Scalene triangle
C) Equilateral triangle
D) Right triangle
- 23. What is the area formula for a rectangle?
A) 2 x (Length + Width)
B) Length + Width
C) Length / Width
D) Length x Width
- 24. A shape with all sides and angles equal is called?
A) Oblong
B) Isosceles Triangle
C) Regular Polygon
D) Parallelogram
- 25. A line segment that joins two non-adjacent vertices of a polygon is called?
A) Tangent
B) Bisector
C) Secant
D) Diagonal
- 26. The distance around the edge of a circle is called?
A) Arc Length
B) Circumference
C) Diameter
D) Radius
- 27. A pair of angles whose sum is 90 degrees is called?
A) Complementary Angles
B) Vertical Angles
C) Supplementary Angles
D) Adjacent Angles
- 28. If two angles add up to 180 degrees, they are called?
A) Vertical Angles
B) Supplementary Angles
C) Complementary Angles
D) Adjacent Angles
- 29. The point equidistant from the endpoints of a line segment is called?
A) Endpoint
B) Vertex
C) Intersection
D) Midpoint
- 30. What is the perpendicular distance from the base to the top of a triangle called?
A) Base
B) Altitude
C) Side
D) Hypotenuse
- 31. A shape with six sides is called a(n):
A) Hexagon
B) Octagon
C) Pentagon
D) Heptagon
- 32. How many edges does a cube have?
A) 8
B) 12
C) 10
D) 6
- 33. The distance across a circle passing through the center is called its:
A) Area
B) Diameter
C) Radius
D) Circumference
- 34. In a right triangle, what is the ratio of the length of the side opposite the angle to the length of the hypotenuse?
A) Sine
B) Tangent
C) Secant
D) Cosine
- 35. Which type of triangle has all interior angles less than 90 degrees?
A) Obtuse
B) Right
C) Acute
D) Equilateral
- 36. Which shape has only one pair of parallel sides?
A) Rectangle
B) Rhombus
C) Trapezoid
D) Square
- 37. How many diagonals does a pentagon have?
A) 5
B) 6
C) 4
D) 3
- 38. Which term describes two angles that share a common side and vertex?
A) Vertical
B) Adjacent
C) Opposite
D) Complementary
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