Brainscape's Knowledge GenomeTM

Browse over 1 million classes created by top students, professors, publishers, and experts.


See full index

SJC Geometry > Chapter 1 Review > Flashcards

Chapter 1 Review Flashcards

1
Q

Undefined terms

A

Can only be explained using examples and descriptions (ie. point, line, plane)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

Point

A

A location.

Has neither shape nor size.

Named by a capital letter.

Example: point A

• A

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

Plane

A

A flat surface made up of points that extends infinitely in all directions. There is exactly one plane through any three points not on the same line.

Named: Plane m, plane ABC

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

Line

A

Made up of points and has no thickness or width. There is exactly one line through any two points.

Named: line m, line PQ

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

Collinear

A

Points that lie on the same line

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

Coplanar

A

points that lie on teh same plane

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

intersection

A

the point or set of points shared by two or more geometric figures

P represents the intersection

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

defined terms

A

Explained using undefined terms and/or other defined terms

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

space

A

a boundless, three-dimensional set of all point; can contain lines and planes

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

line segment

A

part of a line that can be measured using two endpoints

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

between

A

Point M is between points P and Q if and only if P, Q, and M are collinear and PM + MQ = PQ

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

congruent segments

A

segments that have the same measure

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

distance between points

A

the length between two points as measured by the absolute value of the difference between their coordinates

Formula d = | b - a |

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

Distance formula (in a coordinate plane)

A
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

irrational number

A

A number that cannot be expressed as a repeating decimal.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

Midpoint

A

the point halfway between the endpoints of a segment

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

Midpiont formula (in a coordinate plane)

A
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
18
Q

Midpoint formula

A
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
19
Q

segment bisector

A

any segment, line, or plane that intersects a segment at its midpoint

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
20
Q

ray

A

a part of a line that has one endpoint and extends indefinitely in one direction

Named by stating the endpoint first and then any other point on the ray

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
21
Q

opposite rays

A

two rays that share the same endpoint, go in opposite directions, and are collinear

EX. BA and BC are opposite rays

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
22
Q

angle

A

formed by two noncollinear rays that have a common endpoint

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
23
Q

sides

A

the rays that form an angle

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
24
Q

vertex

A

the common endpoint of an angle

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
25
Q

Interior points

A

points that lie inside of the angle

EX. points A, D, and F

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
26
Q

Exterior points

A

points that lie outside of the angle

EX. points B and C

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
27
Q

degree

A

unit of measure used for angles

EX. 98°

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
28
Q

right angle

A

an angle measuring 90°

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
29
Q

acute angle

A

an angle measuring less than 90°

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
30
Q

obtuse angle

A

an angle measuring more than 90°

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
31
Q

angle bisector

A

a ray that divides an angle into two congruent angles

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
32
Q

congruent angles

A

angles that have the same degree measure

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
33
Q

adjacent angles

A

two angles that lie in the same plane and have a common vertex and a common side, but no common interior points

34
Q

linear pair

A

a pair of adjacent angles with noncommon sides that are opposite rays

35
Q

vertical angles

A

two nonadjacent angles formed by two intersecting lines; they are congruent

EX. angle 1 and angle 3

36
Q

complementary angles

A

two angles with measures that have a sum of 90°

37
Q

supplementary angles

A

two angles with measures that have a sum of 180°

38
Q

perpendicular

A

lines, segments, or rays that form right angles

39
Q

polygon

A

a closed figure formed by a finite number of coplanar segments called sides such that

  • the sides that have a common endpoint are noncollinear
  • each side intersects exactly two other sides, but only at their endpoints
40
Q

concave polygon

A

a polygon for which there is a line containing a side of the polygon that also contains a point in the interior of the polygon

41
Q

convex polygon

A

a polygon for which there is no line that contains both a side of the polygon and a point in the interior of the polygon

42
Q

equilateral

A

all sides have the same measure

43
Q

equiangular

A

all angles have the same measure

44
Q

regular polygon

A

polygon is equilateral and equiangular

45
Q

How many sides does a triangle have?

A

3

46
Q

How many sides does a quadrilateral have?

A

4

47
Q

How many sides does a pentagon have?

A

5

48
Q

How many sides does a hexagon have?

A

6

49
Q

How many sides does a heptagon have?

A

7

50
Q

How many sides does a octagon have?

A

8

51
Q

How many sides does a nonagon have?

A

9

52
Q

How many sides does a decagon have?

A

10

53
Q

perimeter

A

the sum of the lengths of the sides of the polygon

54
Q

circumference

A

the distance around a circle

55
Q

area

A

the number of square units needed to cover a surface

56
Q

Perimeter of a triangle formula

A

P = a + b + c

57
Q

Area of a triangle formula

A

A = ½bh

58
Q

Perimeter of a square formula

A

P = s + s + s + s

59
Q

Area of a square formula

A

A = s2

60
Q

Perimeter of a rectangle

A

P = 2l + 2w

61
Q

Area of a rectangle

A

A = lw

62
Q

Circumference formula

A

C = 2πr or C = πd

63
Q

Area of a circle formula

A

A = πr2

64
Q

polyhedron

A

a solid with all flat surfaces that enclose a single region of space

65
Q

prism

A

polyhedron with two parallel congruent faces (called bases) connected by parallelogram faces

66
Q

pyramid

A

a polyhedron that has a polygonal base and three or more triangular faces that meet at a common vertex

67
Q

cylinder

A

a solid with congruent parallel circular bases connected by a curved surface

68
Q

cone

A

a solid with a circular base connected by a curved surface to a single vertex

69
Q

sphere

A

A set of points in space that are the same distance from a given point. It has no faces, edges, or vertices.

70
Q

surface area

A

a two-dimensional measurement of the surface of a solid figure

71
Q

volume

A

the measure of the amount of space enclosed by a solid figure

72
Q

Surface area of a prism formula

A
  • S = Ph + 2B*
  • (P = perimeter of the base; B = area of the base)*
73
Q

Volume of a prism formula

A

V = Bh

(B = area of the base)

74
Q

Surface area of regular pyramid

A

S = ½Pl +B

(P = perimeter of base; l = slant height; B = area of base)

75
Q

Volume of reglar pyramid

A

V = 1/3 Bh

(B = area of base)

76
Q

Surface area of a cylinder

A

S = 2πrh + 2πr2

77
Q

Volume of a cylinder

A

V = πr2h

78
Q

Surface area of a cone

A

S = πrl + πr2

79
Q

Volume of a cone

A

V = 1/3 πr2h

80
Q

Surface area of a sphere

A

S = 4πr2

81
Q

Volume of sphere

A

V = 4/3πr3

SJC Geometry (6 decks)

Brainscape helps you reach your goals faster, through stronger study habits.
© 2024 Bold Learning Solutions. Terms and Conditions