Geometry

Question 1

Angles less than 90

Answer 1

Acute Angles

Question 2

Angles between 90 - 180

Answer 2

Obtuse Angles

Question 3

Sum of all interior angles of pentagon =

Answer 3

540

Question 4

Sum of all interior angles of hexagon =

Answer 4

720

Question 5

Formula for sum of all interior angles of a shape

Answer 5

= ( n - 2 ) x 180

Question 6

Corner of a polygon is called

Answer 6

Vertex

Question 7

Area of Trapezoid

Answer 7

(Base1 + Base 2) x Height / 2

or

Average of two bases x Height

Question 8

The side of the triangle opposite to the largest angle.

Answer 8

Hypotenuse

Question 9

Pythagorean Theorem

Answer 9

a^2 + b^2 = c^2

Question 10

Common right triangles’ sides:

Answer 10

3-4-5
5-12-13
8-15-17

Question 11

Ratio of lenghts of sides of a 45-45-90 triangle

Answer 11

x : x : x√2

Question 12

Ratio of lengths of sides of a 30-60-90 triangle

Answer 12

x, 2x, x√3

Question 13

An exterior angle of a triangle is equal to

Answer 13

the sum of two non-adjacent (opposite) interior angles of the triangle.

Question 14

Area of Triangle

Answer 14

Base x Height / 2

Question 15

Any line segment that connects two points on a circle

Answer 15

Chord

Question 16

Formula for circumference

Answer 16

C = π x d

Question 17

Area of a circle

Answer 17

A = π r^2

Question 18

Angle whose vertex lies at the center point of a circle.

Answer 18

Central Angle

Question 19

Angle that has its vertex on the circle itself.

Answer 19

Inscribed Angle

Question 20

An inscribed angle is equal to

Answer 20

Half of the arc it intercepts

Question 21

Volume of cylinder

Answer 21

V = π r^2 h

Question 22

Quadrant Numbers

Answer 22

I (+,+)
II (-,+)
III (-,-)
IV (+,-)

Question 23

Formula for slope

Answer 23

rise/run

Ysub2 - Ysub1
/
Xsub2 - Xsub1

Question 24

Kinds of slope

Answer 24

Positive: rises from left to right
Negative: falls from left to right
Zero slope: horizontal
Undefined slope: vertical

Question 25

A point where a line intersects a coordinate axis

Answer 25

Intercept

Question 26

Formula for Linear Equation

Answer 26

y = mx + b

Question 27

Area of Rhombus

Answer 27

Diagonal 1 x Diagonal 2 / 2

Question 28

Quadrilateral with the biggest area

Answer 28

Square

Question 29

Quadrilateral with the smallest perimeter (though same area)

Answer 29

Square

Question 30

If you are given two sides of a triangle or parallelogram, how to maximize area?

Answer 30

Place the two sides perpendicular to each other.

Question 31

Area of an equilateral triangle 60-60-60 (in terms of side)

Answer 31

S^2 √ 3 / 4

Question 32

Ratio of area of two similar triangles with side length ratio of a:b

Answer 32

a^2 : b^2

Question 33

Formula for diagonal of a square

Answer 33

d = s x √2

Question 34

Formula for diagonal of a cube

Answer 34

d = s x √3

Question 35

Surface area of a cyclinder

Answer 35

= 2 (π r^2) + 2 π r h

Question 36

How to find equation of perpendicular bisector

Answer 36

1. Find the negative reciprocal slope 2. Find the midpoint of the two points by computing the average 3. Plug into formula y = mx + b

Question 37

Parabola curve opens upward means value for A is

Answer 37

Positive

Question 38

Parabola curve opens downward means value for A is

Answer 38

Negative

Question 39

Parabola curve is narrow means | A | is

Answer 39

Large

Question 40

Parabola curve is wide means | A | is

Answer 40

Small

Question 41

Graph of a quadratic equation if b^2 - 4ac > 0

Answer 41

Intercepts y below origin

Question 42

Graph of a quadratic equation if b^2 - 4ac = 0

Answer 42

Intercepts at 0

Question 43

Graph of a quadratic equation if b^2 - 4ac < 0

Answer 43

Intercepts y above origin

Question 44

Deluxe Pythagorean Theorem for Rectangular Solids

Answer 44

d^2 = x^2 + y^2 + z^2 where x, y, and z are sides of the rectangular solid and d is the diagonal

Question 45

Regular Figures where you only need one measurement to know all other

Answer 45

``` Squares Equilaterals Circles Spheres Cubes 45-45-90 Triangles 30-60-90 Triangles ```