Geometry Jacobs 3E Ch 01

Front 1

equilateral triangle

Back 1

A triangle with all three sides of equal length.

Front 2

construction

Back 2

A drawing made using only a straight edge, drawing compass, and pen or pencil.

Front 3

perpendicular

Back 3

Forming right angles.

Front 4

inductive reasoning

Back 4

Working from observations to formulate hypotheses.
(Predicting the weather is a process that uses inductive reasoning.)

Front 5

deductive reasoning

Back 5

Using logic to draw conclusions from statements already accepted as true.

Front 6

line segment

Back 6

Part of a line bounded by two endpoints.

Front 7

collinear

Back 7

If a line contains all of the points then the points are...

Front 8

If no line exists that contains all of the points, then the points are...

Back 8

noncollinear

Front 9

coplanar

Back 9

If all the points lie on the same plane then the points are...

Front 10

If lines all contain the same point then they are...

Back 10

concurrent

Front 11

ray

Back 11

Part of a line that, from an endpoint extends endlessly in one direction.

Front 12

A pair of rays that contain the same endpoint.

Back 12

angle

Front 13

polygon

Back 13

A figure bounded by line segments that lie in the same plane.

Front 14

triangle

Back 14

A polygon that has 3 sides

Front 15

quadrilateral

Back 15

A polygon that has 4 sides.

Front 16

pentagon

Back 16

A polygon that has 5 sides.

Front 17

hexagon

Back 17

A polygon that has 6 sides.

Front 18

octagon

Back 18

A polygon that has 8 sides.

Front 19

perimeter of a polygon

Back 19

Sum of the lengths of the sides.

Front 20

Area of a rectangle

Back 20

A = (base)(altitude)

Front 21

straight edge

Back 21

A tool without markings used for drawing line segments.

Front 22

compass

Back 22

A tool used for drawing arcs or circles.

Front 23

circle

Back 23

The set of all points in a plane that are a fixed distance from a given point.

Front 24

The distance from the center of a circle to any point on the circle.

Back 24

radius

Front 25

bisect

Back 25

To divide into two equal parts.

Front 26

midpoint

Back 26

The point that divides a line segment into two equal segments.

Front 27

If two lines, line segments, or rays intersect to form right angles then they are...

Back 27

perpendicular.

Front 28

A drawing made using only a straight edge, drawing compass, and pen or pencil.

Back 28

construction

Front 29

Working from observations to formulate hypotheses.

Back 29

inductive reasoning

Front 30

A polygon with four sides.

Back 30

quadrilateral

Front 31

A polygon with three sides.

Back 31

triangle

Front 32

A polygon with eight sides.

Back 32

octagon

Front 33

A polygon with five sides.

Back 33

pentagon

Front 34

A polygon with six sides.

Back 34

hexagon

Front 35

The set of all points in a plane that are a fixed distance from a given point.

Back 35

circle

Front 36

The point that divides a line segment into two equal segments.

Back 36

midpoint

Front 37

To divide into two equal parts.

Back 37

bisect

Front 38

radius

Back 38

The distance from the center of a circle to any point on the circle.

Front 39

A figure bounded by line segments that lie in the same plane.

Back 39

polygon

Front 40

angle

Back 40

A pair of rays that contain the same endpoint.

Front 41

If all the points lie on the same plane then the points are...

Back 41

coplanar

Front 42

A triangle with all three sides of equal length.

Back 42

equilateral triangle

Front 43

Using logic to draw conclusions from statements already accepted as true.

Back 43

deductive reasoning

Front 44

noncollinear

Back 44

If a line does NOT contain all of the points then the points are...

Front 45

If a line contains all of the points then the points are...

Back 45

collinear

Front 46

Who wrote the Elements?

Back 46

Euclid

Front 47

Euclid

Back 47

Compiled knowledge about geometry in the book Elements.