Geometry – Flashcards
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A geometric figure created without using tools is an
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sketch
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2 or more lines that are not in the same plane
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skew lines
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location in space
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point
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points where a line segment begins and ends
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endpoints
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straight continuous arrangement of an infinite number of points
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line
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Two or more line segments of equal measure
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congruent line segments
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You ___ a geometric figure when you use only a compass and straightedge
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construct
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points that are all located on the same line
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collinear points
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A _ _ is a portion of a line that includes two points and all of the collinear points between the two points
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line segment
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You can _______ by constructing an exact copy of the original line segment
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duplicate a line segment
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A flat surface is a
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plane
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portion of a line that begins with a single point and extends infinitely in one direction/
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ray
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two or more lines located in the same plane
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coplanar lines
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When you __ a geometric figure, you use tools such as a ruler, straightedge, compass, or protractor
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draw
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an angle whose measure is equal to 90 degrees
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right angle
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an angle whose measure is greater than 90 but less than 180
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obtuse angle
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a ray that divides an angle into two congruent angles
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angle bisector
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the two rays that form an angle
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sides of an angle
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the common endpoint of the two rays that form an angle.
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vertex of an angle
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to divide into 2 equal parts
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bisect
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a unit of measure for angles
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degrees
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an angle whose measure is greater than 0 degrees but less than 90 degrees
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acute angle
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a basic tool used to measure angles
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protractor
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two or more angles that have equal measures
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congruent angles
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an angle whose measure is equal to 180
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straight angle
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a geometric figure formed by 2 rays that share a common endpoint
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angle
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a statement that can be written in the form "If p, then q"
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conditional statement
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is the variable p in the conditional statement(after "If" doesn't conclude "if")
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hypothesis
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is the variable q in the conditional statement (after "then" doesn't include "then")
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conclusion
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A statement that is accepted without proof
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Postulate
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a statement that can be proven
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theorem
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If a,b, and c are real numbers and a=b, then a+c=b+c
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addition property
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If a,b,and c are real numbers and a=b, then a-c=b-c
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subtraction property
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(mirror) If a is a real number, then a=a.
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reflexive property
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If a and b are real numbers and a=b, then a can be substituted for b.
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Substitution property
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If a,b, and c are real numbers, then a=b and b=c, then a=c.
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transitive property
