Chapter 1 Review

Question 1

Undefined terms

Answer 1

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

Question 2

Point

Answer 2

A location.

Has neither shape nor size.

Named by a capital letter.

Example: point A

• A

Question 3

Plane

Answer 3

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

Question 4

Line

Answer 4

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

Named: line m, line PQ

Question 5

Collinear

Answer 5

Points that lie on the same line

Question 6

Coplanar

Answer 6

points that lie on teh same plane

Question 7

intersection

Answer 7

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

P represents the intersection

Question 8

defined terms

Answer 8

Explained using undefined terms and/or other defined terms

Question 9

space

Answer 9

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

Question 10

line segment

Answer 10

part of a line that can be measured using two endpoints

Question 11

between

Answer 11

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

Question 12

congruent segments

Answer 12

segments that have the same measure

Question 13

distance between points

Answer 13

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

Formula d = | b - a |

Question 14

Distance formula (in a coordinate plane)

Answer 14

Question 15

irrational number

Answer 15

A number that cannot be expressed as a repeating decimal.

Question 16

Midpoint

Answer 16

the point halfway between the endpoints of a segment

Question 17

Midpiont formula (in a coordinate plane)

Answer 17

Question 18

Midpoint formula

Answer 18

Question 19

segment bisector

Answer 19

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

Question 20

ray

Answer 20

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

Question 21

opposite rays

Answer 21

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

EX. BA and BC are opposite rays

Question 22

angle

Answer 22

formed by two noncollinear rays that have a common endpoint

Question 23

sides

Answer 23

the rays that form an angle

Question 24

vertex

Answer 24

the common endpoint of an angle

Question 25

Interior points

Answer 25

points that lie inside of the angle EX. points A, D, and F

Question 26

Exterior points

Answer 26

points that lie outside of the angle EX. points B and C

Question 27

degree

Answer 27

unit of measure used for angles EX. 98°

Question 28

right angle

Answer 28

an angle measuring 90°

Question 29

acute angle

Answer 29

an angle measuring less than 90°

Question 30

obtuse angle

Answer 30

an angle measuring more than 90°

Question 31

angle bisector

Answer 31

a ray that divides an angle into two congruent angles

Question 32

congruent angles

Answer 32

angles that have the same degree measure

Question 33

adjacent angles

Answer 33

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

Question 34

linear pair

Answer 34

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

Question 35

vertical angles

Answer 35

two nonadjacent angles formed by two intersecting lines; they are congruent EX. angle 1 and angle 3

Question 36

complementary angles

Answer 36

two angles with measures that have a sum of 90°

Question 37

supplementary angles

Answer 37

two angles with measures that have a sum of 180°

Question 38

perpendicular

Answer 38

lines, segments, or rays that form right angles

Question 39

polygon

Answer 39

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

Question 40

concave polygon

Answer 40

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

Question 41

convex polygon

Answer 41

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

Question 42

equilateral

Answer 42

all sides have the same measure

Question 43

equiangular

Answer 43

all angles have the same measure

Question 44

regular polygon

Answer 44

polygon is equilateral and equiangular

Question 45

How many sides does a triangle have?

Answer 45

3

Question 46

How many sides does a quadrilateral have?

Answer 46

4

Question 47

How many sides does a pentagon have?

Answer 47

5

Question 48

How many sides does a hexagon have?

Answer 48

6

Question 49

How many sides does a heptagon have?

Answer 49

7

Question 50

How many sides does a octagon have?

Answer 50

8

Question 51

How many sides does a nonagon have?

Answer 51

9

Question 52

How many sides does a decagon have?

Answer 52

10

Question 53

perimeter

Answer 53

the sum of the lengths of the sides of the polygon

Question 54

circumference

Answer 54

the distance around a circle

Question 55

area

Answer 55

the number of square units needed to cover a surface

Question 56

Perimeter of a triangle formula

Answer 56

*P = a + b + c*

Question 57

Area of a triangle formula

Answer 57

*A = ½bh*

Question 58

Perimeter of a square formula

Answer 58

*P = s + s + s + s*

Question 59

Area of a square formula

Answer 59

*A = s²*

Question 60

Perimeter of a rectangle

Answer 60

*P = 2l + 2w*

Question 61

Area of a rectangle

Answer 61

*A = lw*

Question 62

Circumference formula

Answer 62

*C = 2πr* or *C = πd*

Question 63

Area of a circle formula

Answer 63

*A = πr²*

Question 64

polyhedron

Answer 64

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

Question 65

prism

Answer 65

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

Question 66

pyramid

Answer 66

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

Question 67

cylinder

Answer 67

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

Question 68

cone

Answer 68

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

Question 69

sphere

Answer 69

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

Question 70

surface area

Answer 70

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

Question 71

volume

Answer 71

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

Question 72

Surface area of a prism formula

Answer 72

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

Question 73

Volume of a prism formula

Answer 73

V = Bh (B = area of the base)

Question 74

Surface area of regular pyramid

Answer 74

S = ½Pl +B (P = perimeter of base; l = slant height; B = area of base)

Question 75

Volume of reglar pyramid

Answer 75

V = ^1/₃ Bh | (B = area of base)

Question 76

Surface area of a cylinder

Answer 76

S = 2πrh + 2πr²

Question 77

Volume of a cylinder

Answer 77

V = πr²h

Question 78

Surface area of a cone

Answer 78

S = πrl + πr²

Question 79

Volume of a cone

Answer 79

V = ^1/₃ πr²h

Question 80

Surface area of a sphere

Answer 80

S = 4πr²

Question 81

Volume of sphere

Answer 81

V = ^4/₃πr³