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Final Exam G-Fall-17

TermDefinition
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

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