click below
click below
Normal Size Small Size show me how
Final Exam G-Fall-17
| Term | Definition |
|---|---|
| Complementary angles | Two positive angles whose measures have the sum of 90° |
| Midpoint | Point that divides the segment into two congruent segments |
| Point | Has no dimension |
| Obtuse | An angle that measures greater than 90° and less than 180° |
| Collinear | Points that lie on the same line |
| Plane | Has two dimensions |
| Segment bisector | A point, ray, line segment, or plane that intersects the segment at its midpoint |
| Congruent | Segments or angles that have the same measure |
| Adjacent angles | Two angles that share a common vertex and side, but have no common interior points |
| Line | Has one dimension |
| Inductive reasoning | A process that includes looking for patterns and making conjectures. |
| A biconditional statement | A statement that contains the phrase “if and only if”. |
| If-then form | A conditional statement in the form “if p, then q” |
| Conclusion | The “then” part of a conditional statement written in if-then form. |
| Inverse | The statement formed by negating both the hypothesis and conclusion of a conditional statement |
| Conditional statement | A logical statement that has a hypothesis and a conclusion. |
| converse | The statement formed by exchanging the hypothesis and conclusion of a conditional statement |
| Hypothesis | The “if” part of a conditional statement written in if-then form. |
| Deductive reasoning | A process that uses, facts, definitions, accepted properties, and the laws of logic to form a logical argument. |
| Contrapositive | The statement formed by negating both the hypothesis and conclusion of the converse of a conditional statement. |
| Transversal | A line intersects two or more coplanar lines at different points. |
| Alternate interior angles | Two angles, which are formed by two lines and a transversal, that lie between the two lines and on opposite side of the transversal. |
| Corresponding angles | Two angles, which are formed by two lines and a transversal, that are in corresponding positions. |
| Consecutive angles | Two angles, which are formed by two lines and a transversal, that lie between the two lines and on same side of the transversal. |
| Alternate exterior angles | Two angles, which are formed by two lines and a transversal, that lie outside the two lines and on opposite side of the transversal. |
| Parallel lines | Coplanar lines that do not intersect |
| Vertical angles | Two angles whose sides from two pairs of opposite rays |
| Perpendicular lines | Two lines that intersect to form right angles |
| Linear pair | Two adjacent angles whose noncommon sides are opposite rays |
| Skew | Lines that do not intersect and are not coplanar |
| Reflection | A transformation that uses a line like a mirror to reflect a figure. |
| Similar figures | Geometric figures that have the same shape but not necessarily the same size. |
| Vector | A quantity that has both direction and magnitude and is represented in the coordinate plane by an arrow drawn from one point to another. |
| Dilation | A transformation in which a figure is enlarged or reduced with respect to a fixed point. |
| Transformation | A function that moves or changes a figure in some way to produce a new figure. |
| Translation | A transformation that moves every point of a figure the same distance in the same direction. |
| Rigid motion | A transformation that preserves length and angle measure. |
| Rotation | A transformation in which a figure is turned about a fixed point. |
| Scale factor | The ratio of the lengths of the corresponding sides of the image and the preimage of a dilation |
| Congruent figures | Geometric figures that have the same size and shape |
| Exterior angles | The side opposite the right angle of a right triangle |
| Interior angles | Angles of a polygon |
| Base of an isosceles triangle | The side of an isosceles triangle that is not one of the legs |
| Vertex angle | The angle formed by the legs of an isosceles triangle |
| Corresponding parts | A pair of sides or angles that have the same relative position in two congruent figures |
| Legs of an right triangle | The sides adjacent to the right angle of a right triangle |
| Exterior angles | Angles that form linear pairs with the interior angles of a polygon |
| Base angles of an isosceles triangle | The two angles adjacent to the base of an isosceles triangle |
| Coordinate proof | A style of proof that involves placing geometric figures in a coordinate plane |
| Legs of an isosceles triangle | The two congruent sides of an isosceles triangle |
| Median | A segment from a vertex of a triangle to the midpoint of the opposite side. |
| Equidistant | A point that is equal distance from two figures |
| Orthocenter | The point of concurrency of the lines containing the altitudes of the triangle. |
| Incenter | The point of concurrency of the angle bisectors of a triangle. |
| Altitude | The perpendicular segment from a vertex of a triangle to the opposite side or to the line that contains the opposite side |
| Centroid | The point of concurrency of the three medians of a triangle. |
| Point of concurrency | The point of intersection of concurrent lines, rays, or segments |
| Midsegment | A segment that connects the midpoints of two sides of a triangle |
| Concurrent | Three or more lines, rays, or segments that intersect in the same point |
| Circumcenter | The point of concurrency of three perpendicular bisectors of a triangle |
| Isosceles Trapezoid | A trapezoid with congruent legs. |
| Rectangle | A parallelogram with four right angles. |
| Trapezoid | A quadrilateral with exactly one pair of parallel sides |
| Diagonals | A segment that joins two nonconsecutive vertices of a polygon. |
| Parallelogram | A quadrilateral with both pairs of opposite sides parallel |
| Rhombus | A parallelogram with four congruent sides |
| Regular polygon | A convex polygon that is both equilateral and equiangular |
| Equiangular polygon | A polygon in which all angles are congruent |
| Square | A parallelogram with four congruent sides and four right angles. |
| Kite | A quadrilateral that has two pairs of consecutive congruent sides, but opposite sides are not congruent. |
| Inverse tangent | An inverse trigonometric ratio, abbreviated . |
| Inverse cosine | An inverse trigonometric ratio, abbreviated . |
| Inverse sine | An inverse trigonometric ratio, abbreviated |
| Angle of elevation | The angle that and upward line of sight makes with a horizontal line. |
| Angle of depression | The angle that a downward line of sight makes with a horizontal line. |
| Trigonometric ratio | A ratio of the lengths of two sides in a right triangle |
| Pythagorean triple | A set of three positive integers, a, b, and c that satisfy the equation . |
| Sine | A trigonometric ratio for acute angles that involves the lengths of the opposite leg and the hypotenuse of a right triangle. |
| Tangent | A trigonometric ratio for acute angles that involves the lengths of a right triangle |
| Cosine | A trigonometric ratio for acute angles that involves the lengths of the adjacent leg and the hypotenuse of a right triangle |
| Standard equation of a circle | , where r is the radius and is the center. |
| Minor arc | An arc with a measure less than 180°. |
| Major arc | An arc with a measure greater than 180°. |
| Semicircle | An arc with endpoints that are the endpoints of a diameter and measures exactly 180°. |
| Central angle | An angle whose vertex is the center of a circle |
| Circle | The set of all points in a plane that are equidistant from a given point |
| Center | The point from which all points on a circle are equidistant. |
| Radius | A segment whose endpoints are the center and any point on a circle. |
| Chord | A segment whose endpoints are on a circle. |
| Diameter | A chord that contains the center of a circle. |
| Volume | The number of cubic units contained in the interior of a solid |
| Sector of a circle | The region bounded by two radii of the circle and their intercepted arc |
| Chord of a sphere | A segment whose endpoints are on a sphere |
| Arc length | A portion of the circumference of a circle |
| Face | A flat surface of a polyhedron |
| Polyhedron | A solid that is bounded by polygons |
| Edge | A line segment formed by the intersection of two faces of a polyhedron |
| Apothem of a regular polygon | The distance from the center to any side of a regular polygon |
| Circumference | The distance around a circle |
| Density | The amount of matter that an object has in a given unit of volume |