PLANE GEOMETRY

Question 1

WHAT DO YOU CALL THE COMMON ENDPOINT OF THE TWO RAYS IN AN ANGLE

Answer 1

VERTEX!

Question 2

DEFINITION OF OBTUSE ANGLE

Answer 2

GREATER THAN 90 BUT LESS THAN 180,

180 DEGREE ANGLE IS CALLED A STRAIGHT ANGLE.

Question 3

WHAT DO YOU CALL IF AN ANGLE HAS A MEASUREMENT OF GREATER THAN 180 BUT LESS THAN 360

Answer 3

REFLEX ANGLE

Question 4

ANGLE WITH 360 DEGREE

Answer 4

FULL ANGLE.

Question 5

BESIDES RADIAN AND DEGREE, WHAT OTHER UNITS ARE THERE TO MEASURE ANGLES,

ANDDDDD
WHAT IS THEIR CONVERSION TO DEGREE.
1 DEGREE = ______????

Answer 5

GON/GRADIAN= ONE FULL CYCLE IS 400;
1 DEGREE = 1.1111GON

MIL= 1 FULL ROATION IS 6400
1DEGREE = 17.78 MILS

Question 6

WHEN TWO ANGLES HAVE THE SAME MAGNITUDE, THEY ARE CONSIDERED?

Answer 6

CONGRUENT

Question 7

WHEN TWO ANGLE THAT START AND END AT THE SAME POINT AND HAVE MAGNITUDES THAT DIFFER BY A MULTIPLE OF 360 DEGREES

Answer 7

COTERMINAL

Coterminal angles: are angles in standard position (angles with the initial side on the positive x-axis) that have a common terminal side. For example, the angles 30°, –330° and 390° are all coterminal

Question 8

AN ACUTE ANGLE THAT CAN BE OBTAINED BY CONTINUALLY SUBTRACTING 180 DEGREE FROM A REFLEX ANGLE

Answer 8

REFERENCE ANGLE

Question 9

COMPLEMENTARY ANGLE MEANS

Answer 9

2 ANGLE WHEN ADDED EQUALS 90

Question 10

SUPPLEMENTARY ANGLE MEANS

Answer 10

2 ANGLES WHEN ADDED EQUALS 180

Question 11

EXPLEMENTARY ANGLE MEANS

Answer 11

2 ANGLES WHEN ADDED EQUALS 360

Question 12

what do you call a polygon where it’s sides are all equal in length, and what do you call its counterpart.

Answer 12

REGULAR, and IRREGULAR POLYGON

Question 13

FORMULA FOR THE INTERIOR ANGLE & exterior angle OF A REGULAR POLYGON

Answer 13

Σ Interiorθ = (n-2) 180
Σ Exteriorθ = 360

Interiorθ = [(n-2) 180]/n

where n= the number of sides of the polygon

Question 14

FORMULA FOR The number of diagonals in a POLYGON

Answer 14

Number of diagonals =n/2 (n-3)

Question 15

FORMULA FOR The perimeter and area of a regular! POLYGON

Answer 15

Area= 1/4 na^2 cot(180/n)
n= number of sides
a= length of one side

perimeter= na

Question 16

what do you call the line with a single point of intersection with a circle.

Answer 16

tangent line

Question 17

what do you call the line with 2 points of intersection with a circle

Answer 17

secant line

Question 18

a LINE WITH two endpoints within a circle that is does not cross the center,

Answer 18

CHORD

-if it does cross the center, then that would be called the diameter

Question 19

what is an arc?

Answer 19

a part of the circumference of a circle (like a piece)

Question 20

what is the difference between a central angle and an inscribed angle?

Answer 20

center angle has the central point of the circle as its vertex, inscribe angle is any other angle formed within the circle.``

Question 21

formula for circle area and circumference

Answer 21

A=  πr^2
C= 2πr = πd

Question 22

formula for the sector length and its area- which is part of the circle circumference - arc - ( slice of pizza)

Answer 22

S =rθ

θ= angle of the arc in RADIAN!

Sector Area = As= 1/2 rs = 1/2 r^2 θ

Question 23

a piece of a circle where it is cut by chord line

chord means?

Answer 23

CHORD line is a LINE WITH two endpoints within a circle that is does not cross the center,

this PIECE IS CALLED A SEGMENT!

Question 24

FORMULA FOR THE AREA OF A SEGMENT

Answer 24

A= As - At

As= SECTOR AREA (slice of pizza) 
At= Triangular piece within the As

Question 25

______ THEOREM SAYS THAT FOR THREE POINTS ABC OF A CIRCLE, IF THE LENGTH OF LINE AC IS EQUAL TO THE DIAMETER, THEN THE THREE POINTS FORMS A RIGHT TRIANGLE.

Answer 25

THALES THEOREM

Question 26

WHEN TWO CHORDS INTERSECT THE LENGTHS OF THE DIVIDED SEGMENTS WHEN MULTIPLIED WILL BE EQUAL

Answer 26

SEGMENT AB=CD CROSS CORD THEOREM

Question 27

SECANT THEOREM FORMULA

Answer 27

2 SECANT LINE FOR SECANT LINE AB & CD A (A+B) = C (C+D)

Question 28

SECANT TANGENT THEOREM

Answer 28

1 SECANT AND 1 TANGENT LINE FOR SECANT LINE AB & TANGLEN LINE D A(A+B)= D^2

Question 29

FORMULA FOR THE AREA & perimeter OF A CIRCLE INSCRIBED! IN A regulat regular regular!!!! POLYGON (in)

Answer 29

A=nr^2 tan(180/n) n= number of sides r= radius Permiteer P= 2nr tan(180/n)

Question 30

FORMULA FOR THE AREA & perimeter OF A CIRCLE circumscribed! by A regulat regular regular!!!! POLYGON (out)

Answer 30

A= (nr^2)/2 sin (360/n) P=2nr sin(180/n)