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Geom. Vocab. Midterm

Mr. Rosado's Geometry Vocabulary Midterm Review

point simplest figure, no size, "like a dot"; in a coordinate plane, it is an ordered plane (x,y) that can represent a location
line has no thickness, it is a set of all points extending in two directions indefinitely
plane a flat surface extending in 2-D, has no thickness
space set of all points in 3-D
coplanar points or geometric figures in the same plane; "to be on the same plane"
collinear points or geometrical figures on the same line or "straight path"; "to be on the same line"
segment set of all points between two endpoints
midpoint exact center of two endpoints of a segment
equidistant to be the same distance; "equal distance"
congruent segments segments with equal measures or "same length"
ray "part of a line"; has one endpoint and continues in one direction indefinitely
angle two non-collinear rays that share a common endpoint form an angle
vertex the point that two rays share to form an angle
opposite rays two collinear rays that have a common endpoint
straight angle pair of opposite rays; 180°
sides of an angle the two rays that from an angle
obtuse angle angle measure that is > 90°
right angle angle measure that is = 90°
acute angle angle measure that is < 90°
segment bisector a line, ray, or segment that separates a segment into two congruent segments
angle bisector a line, ray, or segment that separates an angle into two congruent angles
congruent angles angles that have the same angle measure
adjacent angles coplanar angles that have a common side and vertex
vertical angles two non-adjacent angles formed by two intersecting lines
linear pair adjacent angles with non-common sides
supplementary two angles with measures adding up to 180°
complementary two angles with measures adding up to 90°
perpendicular lines two lines that intersect to form right angles
conjecture "educated guess"
conditional statement "If ... then" statement
hypothesis "If ..." part of a conditional
conclusion "... then" part of a conditional
converse when you interchange the hypothesis and the conclusion of a conditional
postulate principles that re accepted to be true, "axiom"
theorems statements that are proved using definitions, postulates, and undefined terms using deductive reasoning
parallel lines two lines in a plane that never meet
skew lines two lines that do not intersect and are not in the same plane
transversal a line that intersects two or more lines in a plane
polygon a closed plane figure with segments for sides that only intersect at the endpoints called the vertices
triangle a three-sided polygon; all angles add up to 180°
acute triangle a triangle with all three interior angles acute
obtuse triangle a triangle with only and exactly one interior angle that is obtuse
right triangle a triangle with only and exactly one interior angle that is right
equiangular triangle a triangle with all three interior angles congruent; a triangle with all three angles being 60°
scalene triangle a triangle with all three sides different in length
isosceles triangle a triangle with at least two sides congruent; a triangle with congruent legs, congruent base angles, and the base opposite from the vertex angle
equilateral triangle a triangle with all three sides congruent
CPCTC Corresponding Parts of Congruent Triangles are Congruent
median a segment that connects the vertex of a triangle to the midpoint of the opposite sides
altitude a segment that connects the vertex of a triangle to the line containing the opposite side and forms a right angle to that line
angle bisector a segment that bisects an angle or triangle
perpendicular bisector a line or segment that passes through the midpoint of a side of a triangle and is perpendicular to that side
parallelograms 1. opposite sides are parallel 2. opposite sides are congruent 3. opposite angles are congruent 4. consecutive angels are supplementary 5. diagonals bisect each other
rhombus 1. all four sides are congruent 2. diagonals perpendicular 3. diagonals bisect opposite angles 4. all properties of parallelograms
rectangle 1. all four angles are right angles 2. diagonals are congruent 3. all properties of parallelograms
square 1. all properties of rhombuses 2. all properties of rectangles
trapezoid a quadrilateral with exactly one pair of parallel sides
isosceles trapezoid a trapezoid with both legs congruent
midsegment of a trapezoid a segment connecting the midpoints of the legs of a trapezoid