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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 |