Chapter 1: Points, Lines, Planes and Angles Flashcards
A location in space. It has no length, width, or thickness. It is represented by a dot.
Point
The dot represents a point but it is not a point.
True
A dot, unlike a point, has a ___.
size
A point is designated by a capital letter ___ to the dot.
a. below
b. top
c. next
C. Next
Has length but has no width or thickness
Line
A line is designated is designated by the capital of any ___ points or by a _____ letter.
two, small
May be straight, curved, or a combination of three.
Line
Generated by a point moving always in the same direction. It has unlimited in extent. It can be extended in either direction indefinitely.
Straight Line
Generated by a point moving in a continuously changing direction
Curved Line
Part of a straight line beginning at a given point and extending limitlessly in one direction.
Ray
Has length and width but no thickness.
Surface
A surface such as a straight line connecting any two of its points entirely in it.
Plane surface (or plane)
The part of a straight line between two points including those two points
Line Segment
Two points in a line segment
Endpoints
Represented by a straight line over two capital letters representing its two points
Line segment
If a line segment is divided into parts:
- The length of the whole line segment ___ the sum of the lengths of its parts.
Equals
A number written beside a line segment designates its length.
True
If a line segment is divided into parts:
The length of the whole line segment is ___ than the length of any part.
Greater
If a line segment is divided into two equal parts:
- The point of division is called the ___.
Midpoint
Line that crosses at the midpoint of a line segment
Bisector/Line Bisector. It bisects the segment.
Term called on points lying on the same line.
Collinear
If A, B and C are collinear - AB + BC = AC, what is the midpoint?
B
Two lines having the same length
Congruent Lines
A portion of a line with only one end point and extended indefinitely
Ray
Sometimes called a half-line with an end point.
Ray
A ray is represented by a letter at its endpoint and any other point on the ray.
True
Formed when two rays are connected at each end point
Angle
The point where the end of an angle is connected (and the two rays are connected).
Vertex
Sides of an angle is the two rays connected in an angle.
True
___ letters are used to name angles or (#)-letter symbol where the middle represents the vertex.
Greek, three
Angle less than 90 degrees. (<90)
Acute Angle
Angle that measures 90 degrees. (=90)
Right Angle
Angle formed when two rats are perpendicular to each other
Right Angle
Angle whose measure is more than 90 degrees but less than 180. (180>Angle>90)
In between 90 and 180 degrees.
Obtuse angle
Straight Angle measures ___ degrees.
180 degrees
Angles that sum is equal to 90 degrees.
Complementary Angles
Complementary Angles need to be adjacent to each other in order to be classified this kind.
False
If two angles are complementary to the same angle or to equal angles, then they are equal to each other.
Theorem, True
Two angles that share a common vertex and side
Adjacent Angles
Vertical Angles are created when ___ lines form ___ angles.
two, four
Non-adjacent angles from two lines forming four angles.
Vertical Angles
Vertical Angles are equal angles
Theorem, True
There are two pairs of vertical angles
Theorem, True
Angles with sum of 180 degrees
Supplementary Angles
Angles more than 180 degrees but less than 360 degrees.
Reflex Angles
Angles with sum of 360 degrees.
Explementary Angle
