Chapter 2 Vocabulary Flashcards

0
Q

What is a ray?

A

The union of a half line and it’s origin. It extends infinitely in one direction form a point

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1
Q

What is a half line?

A

The set of all points on a line on a given side of a given point of the line

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2
Q

What does between mean?

A

In an intervening position, separating

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3
Q

What is a segment?

A

The set consisting of two points and all the points in between

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4
Q

What is a half plane?

A

A subset of a plane consisting of all points on a given side of a line in the plane

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5
Q

What is an edge of a half plane?

A

The line that separates the plane into two half-planes. The line is not part of either half-plane.

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6
Q

What are opposite half-planes?

A

The two half-planes that are separated by a particular line of the plane.

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7
Q

What is an angle?

A

The union of two distinct rays with a common endpoint

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8
Q

What are the sides of an angle?

A

The two rays that form the angle

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9
Q

What is the vertex of an angle?

A

The common endpoint (origin) of the two rays

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10
Q

What is a triangle?

A

The Union of segments that connect three no collinear points

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11
Q

What is a closed curve?

A

A curve that begins and ends at the same point

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12
Q

What is a simple curve?

A

A curve that does not intersect itself

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13
Q

What is a simple closed curve?

A

A simple curve that is also a closed curve

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14
Q

What is a circle?

A

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

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15
Q

What is the center of a circle?

A

The given point in the plane

16
Q

What is the radius of the circle?

A

A segment that connects a point on the circle with the center

17
Q

What is the chord of a circle?

A

A segment having both endpoint a on the circle

18
Q

What is a diameter?

A

A chord that passes through the center of the circle

19
Q

What is an arc?

A

A curve that is a subset of a circle

20
Q

What is an interior of a circle?

A

The set of,all planar points whose distance from the center of the circle is less than the length of the radius

21
Q

The exterior of an angle?

A

The set of all planar points whose distance from the center is greater than the length of the radius

22
Q

What is a region?

A

The union of a simple closed curve and its interior

23
Q

What is a convex?

A

The set that has the property that any two of its points determine a segment contained in the set

24
Q

What is concave?

A

A set that is not convex

25
Q

What is a polygon?

A

A simple closed curve that consists only of segments

26
Q

What is the side of a polygon?

A

One of the segments that define the polygon

27
Q

What is a vertex of a polygon?

A

An endpoint of a side of the polygon

28
Q

What is the angle of a polygon?

A

An angle with two properties: it’s vertex is a vertex of the polygon and each side of the angle contains a side of the polygon

29
Q

What is a surface?

A

A connected set of points in space having only the thickness of a point

30
Q

What is a sphere?

A

A surface in space consisting of the set of all points at a given distance from the given point

31
Q

What is the center of a sphere?

A

A given point

32
Q

What is radius?

A

A segment that connects a point of the sphere with the center

33
Q

What is a closed surface?

A

A surface with a finite size that divides other points in space into an interior and an exterior

34
Q

What is a cone?

A

The union of a region and all segments that connect the boundary of the region with a specific non coplanar point

35
Q

What is a cylinder?

A

The union of two regions of the same size and shape in different parallel planes, and the set of all segment that join corresponding points on the boundaries of the regions

36
Q

What is a prism?

A

A cylinder with polygonal regions as bases

37
Q

What is a pyramid?

A

A cone with a polygonal region as its base

38
Q

What is a regular polyhedron?

A

A convex polyhedron having having two properties