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Geom. Vocab. Midterm
Mr. Rosado's Geometry Vocabulary Midterm Review
Question | Answer |
---|---|
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 |