GEOMETRY

Question 1

Volume of a cylinder

Answer 1

Pi r^2 h

Question 2

Volume of a cylinder: multiplying r and h

Pi x (2r)^2 x 2h

Answer 2

= pi x 4 x r^2 x 2 x h

= 8 pi r^2 h

Question 3

Sum of all interior angles in a triangle =

Answer 3

180 degrees

Question 4

Perimeter of triangle =

Answer 4

Sum of all sides

Question 5

Area of a triangle =

Answer 5

(1/2)(base)(height)

Question 6

Base and Height of a triangle must ….

Answer 6

Be perpendicular / form a 90 degree angle

Question 7

Triangle Inequality Theorem

Answer 7

1. Any side of a triangle is always shorter than the sum of the other two sides
2. Any side of a triangle is always longer than the difference of the other two sides

Question 8

Isosceles Triangle is…

Answer 8

A triangle in which two sides are equal (so their angles are also equal)

Question 9

Equilateral triangle

Answer 9

All three sides (and all three angles) are equal

Question 10

Right Triangle - Pythagorean Theorem

Answer 10

A^2 + b^2 = c^2

THE SQUARE OF THE HYPOTENUSE OF A RIGHT TRIANGLE IS EQUAL TO THE SUM OF THE SQUARE OF THE TWO ADJACENT SIDES

Question 11

3 x 4 x 5 triangle

5 x 12 x 13 triangle

Answer 11

If you see a right triangle with sides of 3, 4; 4,5; 3,5 (or a multiple of these numbers), you know the other side is one of (a multiple of) 3, 4 or 5

SAME WITH 5 X 12 X 13

ONLY APPLIES TO RIGHT TRIANGLES

Question 12

45 45 90 TRIANGLE

Answer 12

A right triangle with a 45 degree angle is an isosceles right triangle with one other 45 degree angle

Sides other than the hypotenuse will be equal to x

The hypotenuse will be equal to x root 2

Question 13

30 60 90 triangle

Answer 13

60 / 30 / 90 degrees

Side opposite 30 degrees is x
Hypotenuse is 2x
Other side is x root 3

Question 14

Area of a circle

Answer 14

Pi r squared

Question 15

Circumference of a circle

Answer 15

2 pi r

Question 16

Diameter of circle

Answer 16

2 r

Question 17

Degrees in a circle

Answer 17

360

Question 18

Length of an arc of a circle

Answer 18

The same fraction of the circumference of the circle as the angle made by that arc is to 360

Question 19

Polygon

Answer 19

Closed plane figure formed by three or more line segments

Question 20

Perimeter of a polygon

Answer 20

Sum of all sides

Question 21

Sum of interior angles of a polygon with n sides

Answer 21

(N-2)*180

Question 22

Parallelograms

Answer 22

Rectangles and squares - quadrilaterals whose opposite sides are parallel

Question 23

Features of a parallelogram - sides and angles

Answer 23

Opposite sides are equal
Opposite angles are equal
Diagonals bisect

Question 24

Area of a parallelogram

Answer 24

Area = Base x Height

Question 25

Trapezoid

Answer 25

Quadrilateral with only one pair of parallel sides

Question 26

Area of a trapezoid

Answer 26

(Side a + side b)/2 * h

Question 27

Surface Area for rectangular solids

Answer 27

Sum of the area of all sides

Question 28

Surface Area for Cylinder

Answer 28

Area of the bases (circles) x 2 PLUS Base (diameter) x height

Question 29

Coordinate geometry: equation for a line

Answer 29

Y = mx + b Where m = slope And b = y intercept

Question 30

Equation for slope of a line

Answer 30

(Y1 - y2) / (X1 - x2)