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 |