# Geometry

A geometric figure created without using tools is an

sketch

2 or more lines that are not in the same plane

skew lines

location in space

point

points where a line segment begins and ends

endpoints

straight continuous arrangement of an infinite number of points

line

Two or more line segments of equal measure

congruent line segments

You ___ a geometric figure when you use only a compass and straightedge

construct

points that are all located on the same line

collinear points

A _ _ is a portion of a line that includes two points and all of the collinear points between the two points

line segment

You can _______ by constructing an exact copy of the original line segment

duplicate a line segment

A flat surface is a

plane

portion of a line that begins with a single point and extends infinitely in one direction/

ray

two or more lines located in the same plane

coplanar lines

When you __ a geometric figure, you use tools such as a ruler, straightedge, compass, or protractor

draw

an angle whose measure is equal to 90 degrees

right angle

an angle whose measure is greater than 90 but less than 180

obtuse angle

a ray that divides an angle into two congruent angles

angle bisector

the two rays that form an angle

sides of an angle

the common endpoint of the two rays that form an angle.

vertex of an angle

to divide into 2 equal parts

bisect

a unit of measure for angles

degrees

an angle whose measure is greater than 0 degrees but less than 90 degrees

acute angle

a basic tool used to measure angles

protractor

two or more angles that have equal measures

congruent angles

an angle whose measure is equal to 180

straight angle

a geometric figure formed by 2 rays that share a common endpoint

angle

a statement that can be written in the form “If p, then q”

conditional statement

is the variable p in the conditional statement(after “If” doesn’t conclude “if”)

hypothesis

is the variable q in the conditional statement (after “then” doesn’t include “then”)

conclusion

A statement that is accepted without proof

Postulate

a statement that can be proven

theorem

If a,b, and c are real numbers and a=b, then a+c=b+c

addition property

If a,b,and c are real numbers and a=b, then a-c=b-c

subtraction property

(mirror) If a is a real number, then a=a.

reflexive property

If a and b are real numbers and a=b, then a can be substituted for b.

Substitution property

If a,b, and c are real numbers, then a=b and b=c, then a=c.

transitive property

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