Geometry

Question 1

The sum of any two lengths of a triangle will always be _____ than 60*the third side.

Answer 1

greater than

Question 2

How to find the third same of triangle (largest and smallest)

Answer 2

Largest = Side 1 + Side 2
Smallest = Side 2 - Side 1, where Side 2 is bigger

Smallest

Question 3

Isosceles triangle

Answer 3

Two equal sides and two equal angles

Question 4

Equilateral triangle

Answer 4

Three equal sides and all angles equal 60°

Question 5

Area of a triangle

Answer 5

1/2 base * height

Question 6

Pythagorean theorem

Answer 6

a^2 + b^2 = c^2 for right triangles only

Question 7

Common combinations for Pythagorean theorem

Answer 7

3-4-5
5-12-13
6-8-10
8-15-17
9-12-15
12-16-20
10-24-26

Question 8

Properties of isosceles right triangle

Answer 8

90° - 45° - 45° (hypotenuse - leg - leg)
x*sqrt(2) - x - x
sqrt(2) - 1 - 1

Question 9

30 - 60 - 90 triangle

Answer 9

30° - 60°- 90°
short - long - hypotenuse
1 - sqrt(3) - 2
x - x*sqrt(3) - 2x

Question 10

What do you get when you put two 30-60-90 triangles together by their long sides?

Answer 10

An equilateral triangle

Question 11

Trapezoid

Answer 11

4 sides - one pair parallel

Question 12

Parallelogram

Answer 12

4 side - opposite sides and opposite angles equal

slanted rectangle

Question 13

Rectangle

Answer 13

4 sides - all angles are 90° and opposite sides are equal

Question 14

Square

Answer 14

4 sides - all angles are 90° and all sides are equal.

Question 15

Rhombus

Answer 15

4 sides -opposite sides and opposite sides are equal. All sides are equal.
(slanted square)

Question 16

How to find the sum of the interior angles of a shape

Answer 16

(n-2)*180

triangle  = 180
square/rectangle = 360
pentagon = 540
hexagon = 720

Question 17

Area of a Trapezoid

Answer 17

(Base 1 + Base 2)/2 x height

Question 18

Area of any parallelogram

Answer 18

base x height

Question 19

For all quadrilaterals, how can you maximize area?

Answer 19

make it into a square

Question 20

For all quadrilaterals, how can you minimize perimeter?

Answer 20

make it into a square

Question 21

A regular polygon with all sides equal and all angles equal will what?

Answer 21

maximize area for a given perimeter and minimize perimeter for a give area.

Question 22

If you are given two sides of a triangle or parallelogram, you can do what?

Answer 22

maximize the area by placing those two sides perpendicular to each other.

Question 23

Circumference of a circle

Answer 23

C = 2pi*r

Question 24

Area of a circle

Answer 24

A = pi*r^2

Question 25

What is a sector?

Answer 25

A fractional portion of a circle

Question 26

What is an inscribed angle?

Answer 26

An angle that has its vertex on the circle itself

Question 27

An inscribed angle is equal to what?

Answer 27

1/2 the central angle ( or arc) it intercepts

Question 28

If one side of an inscribed triangle is a diameter of the circle then it must be what?

Answer 28

It must be a right triangle

Question 29

Surface area of a cylinder

Answer 29

SA = 2 (pi*r^2) +2pi*rh

Question 30

Volume of a cylinder

Answer 30

V = pi*r^2h

Question 31

Sum of the interior angles formed by intersecting lines of a circle

Answer 31

360*

Question 32

Supplemental angles

Answer 32

sum to 180*

Question 33

An exterior angle of a triangle is equal to what?

Answer 33

An exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles of the triangle.

Question 34

Quadrants of a plane

Answer 34

(Counterclockwise) I, II, III, IV

Question 35

Equation for a line

Answer 35

y = mx +b

Question 36

slope

Answer 36

rise/run = change in y/change in x

Question 37

x-intercept

Answer 37

where y=0

Question 38

y-intercept

Answer 38

where x=0