Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Geometry Fall Final Exam -
Document related concepts
Transcript
Noland’s Geometry Fall Final Exam Terms Review Sheet A B C D E F G H I J K L M N O P Q R S T U V W X Y Z AA AB AC AD AE AF AG AH AI AJ AK AL AM AN AO AP AQ 45° 180° 360° acute adjacent alternate exterior angles altitude and angle addition angle bisector angle antecedent auxiliary lines base angles bases biconditional centroid circumcenter collinear complementary conclusion congruent conjunction consecutive consequent contradiction contrapositive converse coplanar corollary corresponding angles corresponding parts counterexample decagon diagonal disjunction distance equidistant equilateral exterior angle extremes fallacy fifteen AR AS AT AU AV AW AX AY AZ BA BB BC BD BE BF BG BH BI BJ BK BL BM BN BO BP BQ BR BS BT BU BV BW BX BY BZ CA CB CC CD CE CF CG CH CI geometric mean given height hexagon hypotenuse if and only if implication incenter indirect proof infinite interior intersection inverse isosceles trapezoid isosceles triangle kite Law of Excluded Middle legs line segment line linear pair logical tools logically equivalent means midsegment of a trapezoid median of a triangle midpoint midsegment of a triangle negation nonagon non-collinear non-coplanar not obtuse triangle obtuse angle octagon one opposite angles or orthocenter parallel parallelogram pentagon perimeter CJ CK CL CM CN CO CP CQ CR CS CT CU CV CW CX CY CZ DA DB DC DD DE DF DG DH DI DJ DK DL DM DN DO DP DQ DR DS DT DU DV DW DX DY DZ perpendicular bisector perpendicular plane plane angles point of concurrency polygon postulates premise proof / argument proportion proportional segments protractor quadrilateral ratio ray rectangle regular remote interior angle rhombus right triangles right angle ruler same side interior angles scalene segment addition size skew lines square substitution supplementary syllogism theorems three transitive trapezoid trichotomy property truth table truth value two Venn diagram vertex angle vertex vertical A graphic representation of an argument in logic is called a(n) ____. If proposition P is true then the ____ of P is false. A line segment that connects two nonconsecutive vertices of a polygon is called a(n) _____. Each logical proposition has a(n) ____ of either 'true' or 'false' but not both. The number of triangles formed inside a regular polygon by all possible diagonals drawn from a single vertex is always ____ (a number) less than the number of sides of the polygon. The point of concurrency of the perpendicular bisectors of the sides of a triangle which locates the center of a circle that circumscribes the triangle is called the ____. The key four-word phrase that indicates that a proposition is a biconditional is _____. The key word used to indicate the negation of a proposition is ____. The perpendicular distance between the bases of a trapezoid is its _____. For any proposition p q — a proposition that reverses the ORDER of the premises to produce q p is the _____. The angle opposite the base of an isosceles triangle is its ____. The angles opposite the congruent legs of an isosceles triangle are called ____ . The perpendicular bisectors of the sides of a right triangle meet at the ____ of the hypotenuse. The ____ measures half the length of the base parallel to it. Two angles in the same position relative to a common transversal and the parallel line on which it is formed are ____. A sequence of statements and their supporting reasons that establish a proposition to be true is called a(n) _____. The MOST GENERAL quadrilateral with four congruent angles is the ____. For the proportion a : x = x : b -- x is the _____ of a and b. We can prove a proposition false by citing a(n) _____. If the nonadjacent sides of two adjacent angles are opposite rays then the angles comprise a(n) _____. The acute angles of a right triangle are ____. A common name for a regular quadrilateral is a(n) ____. Two noncoplanar lines that never intersect are called ____. A statement logically inferred from other statements is called a(n) ____. The assertion that A=B or A<B or A>B is a statement of the ____. A regular polygon each of whose exterior angles measures 40° is a(n) _____. If two parallel lines are cut by a transversal-then angles on opposite sides of the transversal and formed outside the parallel lines are called ____. An orderly and systematic arrangement of all possible truth values for a proposition is called a(n) ____. Both the medians and the angle bisectors for any triangle are concurrent in the ____ of the triangle. Points that lie on the same plane are called _____ points. A quadrilateral with one pair of congruent sides, one pair of parallel sides, and congruent base angles is a(n) _____. The number of possible diagonals from each vertex of a regular polygon is always ____ (a number) less than the number of sides of the polygon. The parallel sides of a trapezoid are the ____. The midpoint of the hypotenuse of a right triangle is _____ from the three vertices. A(n) _____ is the set of points on a line beginning with one endpoint and extending infinitely in one direction. If the altitude and median and bisector of the vertex angle all lie on the perpendicular bisector of the opposite side--then the triangle is a(n) ____. Each interior angle of a regular _____ measures 144°. A many-sided closed plane figure is called a(n) ____. Statements that can be proven in geometry are called ____. The largest number of right or obtuse angles possible in a triangle is exactly ____. The ____ is a proposition that is true only when BOTH of its premises are true. In a triangle the segment from a vertex perpendicular to the line containing the side opposite the vertex is called a(n) ____ of the triangle. Statements in geometry accepted without proof are called _____. A triangle with no two angles congruent is a(n) ____ triangle. The number of points that comprise a line, line segment, or ray is _____. The MOST GENERAL quadrilateral with one pair of parallel sides is the ____. A(n) _____ is the union of two rays with a common endpoint. The nonadjacent angles formed when two lines intersect are called _____ angles. The common endpoint shared by the two rays that comprise the sides of an angle is its _____. A point equidistant from the endpoints of a segment lies on the ____ of the segment. A triangle whose three angles each measures 60° is a(n) ____ triangle. A triangle with three angles--each of which measures less than 90°,is called a(n) _____ triangle. Two angles with a common vertex and a common side but have no common interior points are said to be ____ angles. If both the conditional and the converse of a proposition are true then the proposition is a(n) _____. A line segment that connects the midpoint of a side of a triangle to the vertex opposite of it is a(n) _____. If a quadrilateral has one pair of sides that are both congruent and parallel, then that quadrilateral must be a(n) ____. Any proposition written in 'If ... then ...' format is called a(n) ____. _____ is the absolute value of the difference between the coordinates of the endpoints of a line segment. The sides of a trapezoid that are not parallel are called ____. The MOST GENERAL polygon with four sides is a(n) ____. We begin a(n) _____ by temporarily assuming the negation of the conclusion. The diagonals of a rhombus are always _____. A statement that follows from or is EASILY proven from a theorem is called a(n) _____. A regular polygon whose internal angles sum to 720° is a(n) _____. A reason in a proof that is NOT a logical tool is called a(n) _____. The postulate that allows us to combine two smaller angles and rename them as one larger angle is called _____ . 'If mK = mJ and mJ = 37° then mK = 37°, is an illustration of the ____ property. The angles formed on the same leg of a trapezoid are ____. The point of concurrency for the altitudes of a triangle is called the ____ . If we were to balance a triangle on the tip of a pin then we would need to locate its center of gravity--the ___. If we were to inscribe a circle inside a triangle then we would locate the ___-- the point of concurrency for the angle bisectors. The sum of the interior angles of any convex quadrilateral always equals _____. A proposition that is false only when BOTH of its premises are false is called a(n) ____. An error in logic is called a(n) _____. A regular polygon whose external angles each measures 45° is a(n) ____. ____ is the key connective word used to indicate that a proposition is a disjunction. The measures of the opposite angles of an isosceles trapezoid always sum to _____. The conditional is logically equivalent to the ____. The line segment connecting the midpoints of the legs of a trapezoid is called the ____. A device used to measure the space between the sides of an angle in degrees is called a(n) _____. If a line parallel to the base of a triangle passes through a leg of the triangle then it cuts off _____ on both legs. Lines that were not part of the original diagram but which were drawn to assist in the calculation of angle measures are called _____. A proposition accepted as true in a logical argument is a(n) ____. The 'If ...' clause of an implication is called the ____. Four _____ points determine space. If two propositions have the same truth table values then we say that they are _____. The altitudes of a right triangle lie ON the triangle itself and meet at the _____. The exterior angle of a triangle must be greater than each _____. An indirect proof progresses until we reach a(n) ____ of a given or a known fact. A(n) _____ is a comparison of two quantities in fraction or double dot form. A(n) _____ is a statement that two or more ratios are equal. The intersection of two planes is always a(n) _____. Points are said to be _____ if they lie on the same line. Points shared by or common to two different figures lie in the _____ of the two figures. A device used to measure the length of a line segment is called a(n) _____. The key word used to indicate that a proposition is a conjunction is ____. A point has location (an address) but has no dimension and no _____. If 1 and 2 are both complementary to 3 then 1 and 2 are ____. The 'then ...' clause of an implication is called the ____. The diagonals of a rhombus form four congruent ____. Definitions, Postulates, Theorems, and Properties from Algebra comprise our _____ . The converse is logically equivalent to the _____. The single point where all three of the angle bisectors or medians or altitudes or perpendicular bisectors meet is called a(n) ____. The _____ are the terms of a proportion at the ends of the proportion when it is written in double dot form. A five-sided polygon is a(n) _____. A point equidistant from the sides of an angle lies on its ____. For the _____ of a dihedral angle to be congruent both of their rays must be perpendicular to the edge of the dihedral angle. The postulate that allows us to combine two small line segments into a single larger line segment is called _____. A line and a point not on that line determine exactly one _____. A regular quindecagon has exactly _____ congruent angles and congruent sides. A polygon with all congruent angles and all congruent sides is said to be _____. An angle is a(n) _____ if it measures more than 90° and less than 180°. If an isosceles triangle is also a right triangle then each acute angle must measure _____. The ____ angles of a parallelogram are supplementary. The sum the two remote interior angles of a triangle is equal to the measure of the ____. If two triangles are congruent then all of their ____ are congruent. All of Western Logic is based upon the principle that a proposition is either true or false: it cannot be both, and it cannot be neither. We call this principle the _____. A quadrilateral with perpendicular diagonals, a pair of congruent opposite angles, a diagonal that bisects one pair of opposite angles, and two pair of congruent consecutive sides is a(n) ___. Both the midsegment of a triangle and the median of a trapezoid must be _____ to the base. Each diagonal of a rhombus bisects a pair of ____. 'If 1 and 2 are supplementary and m2 = m3 then 1 and 3 are supplementary.' illustrates the ____ property. The distance around a polygon is its _____. The longest side of a right triangle--called its ____--is always opposite the right angle. The set of points on a line between two endpoints inclusive is called a(n) _____. The MOST GENERAL parallelogram with four congruent sides is the _____. If two parallel lines are cut by a transversal-then the ____ are supplementary. The product of extremes is equal to the product of the ____. A set of premises whose form always produces a true conclusion is called a(n) _____. If a triangle has two exterior altitudes then it is a(n) ____ triangle. Three _____ points determine exactly one plane.
