Chapters 9 & 10

Question 1

Solid

Answer 1

3d shape

Question 2

Prism

Answer 2

• 3d shape

- 2 parallel congruent polygons

Question 3

Angle bisector

Answer 3

Splits angles equally

Question 4

Perpendicular bisector

Answer 4

• passes through midpoint of a line segment
• and is perpendicular to it
• splits exactly in half

Question 5

Median

Answer 5

Connects a vertex of a triangle to opposite side length

Question 6

Radius circle (formula)

Answer 6

Pi r ^2

Pi x radius squared

Question 7

Circumference circle (formula)

Answer 7

D pi

Diameter x pi

Question 8

Radius

Answer 8

• line segment

- center of circle -> outside

Question 9

Minor arc

Answer 9

• less then 180*

- 2 letters

Question 10

Major arc

Answer 10

• over 180*

- 3 letters

Question 11

Intercepted arc

Answer 11

• more then 2 angles

- share the same part of the arc

Question 12

Chord

Answer 12

• passes through circle

- 2 endpoints

Question 13

Central angle

Answer 13

• 2 radii meet at center of circle
• same measure has outside arc
• 2x inscribed angle

Question 14

Inscribed Angle

Answer 14

• angle
• vertex on the circle
• 1/2 of arc length

Question 15

Tangent line

Answer 15

-intercepts circle 1 time

Question 16

Point of Tangency

Answer 16

-intersection point is perpendicular to diameter

Think circle with line running next to, form 90* angles

Question 17

Secant line

Answer 17

-passes through 2 points of a circle

think of a zig zagged line

Question 18

Circumscribe

Answer 18

Circle that passes through 3 points of triangle

Think : circle is drawn around the triangle

Question 19

Circumcenter

Answer 19

• 3 perpendicular bisectors meet

(Think: triangle with 90* angles drawn form the center of each side) and then intersect

Question 20

Centroid

Answer 20

• center of gravity
  (Remember pencil balancing)
• 3 medians intersect

Question 21

Point of Concurrency

Answer 21

• 3+ lines intercept at 1 point

Question 22

Inscribe

Answer 22

• literally: shape drawn within another

- think: circle drawn within triangle (hits at 3 points)

Question 23

Incenter

Answer 23

-3 angle bisectors meet (on a triangle)

Question 24

Finding a length of a chord

Answer 24

• dont forget to use
  Pythagorean theorm or trig

** will always do the trick 😜**

Question 25

Sector of a circle (+formula)

Answer 25

- think: pizza -> the actual pizza part excluding crust Angle measure/ 360 x r2 pi Ex. 95/360 x 9pi

Question 26

Chord/ diameter rule

Answer 26

The perpendicular bisector of a cord will ALWAYS go through the center

Question 27

Arc length ( + formula)

Answer 27

Think: pizza-> the actual crust The section of the circumference Angle measure/360 x Diameter pi

Question 28

Intersecting chords

Answer 28

- 2 chords intersect

Question 29

On a 30- 60- 90 triangle ... Across from the 30 is ___

Answer 29

X

Question 30

In a 30-60-90 triangle the 60 is across from____

Answer 30

X root 3

Question 31

In a 30-60-90 triangle the 90 is across from the

Answer 31

2x

Question 32

In a 45-45-90 triangle the hypotenuse is

Answer 32

X root 2

Question 33

Law of cosine formula

Answer 33

A^2= B^2 + C^2 - 2 BC(cos(A))

Question 34

Pyramid volume formula

Answer 34

Base • H ---------- 3

Question 35

Sphere volume

Answer 35

4/3 pi r^3

Question 36

Sphere surface area formula

Answer 36

4 pi r^2

Question 37

Cones volume formula

Answer 37

1/3 pi r^2 (h)

Question 38

Cones surface Area formula

Answer 38

Pi r L + pi r^2