How well do you know Geometry!

1. The interior angles of a triangle add up to what?

180˚
450˚
90˚

2.Two lines that never intersect are called what?

Perpendicular lines
Parallel lines
Slopes

3.In a right triangle, what do you call a longest side?

The leg
The base
The hypotenuse

4.What's the geometric term for a 2-dimensional flat surface?

A plane
A sphere
A cylinder

5.22/7 is a rough approxmination for what geometric number?

pi (or 2.9)
pi (or 3.14)
pi (or 4)

6.How many straight lines can be drawn through two points?

3
2
1

7.A quadrilateral with one set of parallel lines is called what?

A trapezoid
A square
A circle

8.If we had two sets of parallel lines on a quadrilateral, we have what?

Perpendicular lines
Parallelogram
Parallel line

9.Now, lets make the parallelogram have all four sides the same length. What do we have now?

A diamond
A rectangle
A rhombus

10.Let's now take that rhombus and make all four corners have right angles, what shape do we have?

A square
A rectangle
A hexagon

11.What is the minimum number of sides to make a geometric solid?

Five sides
Four sides. That makes a tetrahedron (or a D4 for RPG players)
Six sides

12.The Cartesian Coordinate System is named after who?

Immanuel Kant
John Locke
Rene Descartes

13.If you are using the formula A^2+b^2=C^2, what are you trying to figure out?

The sides of a right triangle
The hypotenuse
Pythagorean theorem

14.What would you call a 2-dimensional object with seven sides?

A pentagon
A heptagon
A nonagon

15.How many times can a line segment be bisected?

4
3
1

16.The sum of complementary angles is the sum of what?

90˚
180˚
360˚

17.How many sides would a nonagon have?

8
9
10

18.What do you call a 2-dimensional objects with only one side?

Real world application
Shape
Mobius strip

19.What do you call a triangle with all three sides having different lengths?

Scalene triangle
Equilateral triangle
Isosoles triangle

20.A straight line connecting two points on a circle is called a what?

Properties
A chord
Distance formula

21.What is the formula for calculating the volume of a cylinder?

a62+b^2=c^2
x^2+y^2=r^2
pi * R^2 * H

22.Euclid of Alexandria was born in what century?

The 4th century BCE
18th century
19th century

23.What is the distance called between two points of a sphere along its surface?

The great-circle distance
PEMDAS
BODMAS

24.The interior angles of any hexagon add up to what?

600˚
720˚
800˚

25.A polygon with 20 sides would be called what?

Convex
Cyclic
Icosagon

26.A five-pointed star, like you would see on a US flag, is called what in geometry?

A regular concave decagon
Vertices
Regular decagon

27.A slice from the circle that comes from the center point (like a piece of pizza) is called what?

Measurements
Sector
Degrees

28.In three dimensional geometry, if you have two lines that do not intersect and are not parallel, what are they?

Intersection
Characteristics
Skew lines

29.What Greek mathematician wrote the works, On the spheres and the Cylinder and on spiral?

Archimedes
Euclid
Isaac Newton

30.What is the type of geometry that is based on a curved plane, not a flat plane?

Euclidean geometry
Non-Euclidean geometry
Geometry

31.Which shape can only have four faces?

Pyramid
Octahedron
Tetrahedron

32.Which shape has 20 faces?

Icosahedron
Twentyhedron
Octahedron

33.Which shape is made from pentagonal polygons?

Cube
Octahedron
Dodecahedron

34.Which trignometric ratio relates the length of the leg adjacent to an angle to the length of the hypotenuse of the triangles?

Cosine
Sine
Tangent

35.What is the greatest number of obtuse angles a triangle can contain?

0
1
2

36.Which characteristics does a tessellation have?

The pieces overlap each other
It's always made up of regular polygons
The pieces have no overlaps or no spaces between each other

37.Which figure can be rotated at any angle through a point at its center and be mapped onto itself?

Circle
Parallel lines
Equilateral triangle

38.Which of the following is not a quality of rigid-motion transformations?

All lengths of the image and preimage are congruent
The image maps onto the preimage
None of the above

39.Which term descirbes the distance from the center of a circle to any point on the circle?

Diameter
Center
Radius

40.The foci of an ellipse can be outside the ellipse?

True
False