Note cards for the Semester 2 Final
Terms : Hide Images
| 405676027 | Area | measure of the region enclosed by the figure in a plane | 1 | |
| 405676028 | Surface Area | the sum of the areas of all the faces of a solid figure | 2 | |
| 405676029 | Base | any side of a rectangle | 3 | |
| 405676030 | Altitude | any segment perpendicular to the base with one endpoint on the base and the other on the opposite side | 4 | |
| 405676031 | Height | the length of the altitude | 5 | |
| 405676032 | Apothem | the ⊥ segment from the center of the polygon's circumscribed circle in a regular polygon | 6 | |
| 405676033 | Annulus | the region between two concentric circles | 7 | |
| 405676034 | Right Triangle | A triangle with exactly one right angle | 8 | |
| 405676035 | Hypotenuse | the side of a triangle opposite the right angle (the longest side) | 9 | |
| 405676036 | Legs | the other two sides of the triangle (Not hypotenuse) attached to right angle | 10 | |
| 405676037 | Pythagorean Theorem | In a right triangle, if A and B are legs, and C is the hypotenuse then A²+B²=C² | 11 | |
| 405676038 | Pythagorean Triples | 3 positive integers that work in the Pythagorean theorem | 12 | |
| 405676039 | Primitives | 3-4-5 or 5-12-13 or 7-24-25 or 8-15-17 | 13 | |
| 405676040 | Linear and Quadratic expressions | ... | 14 | |
| 405676041 | Multiples | the resulting Pythagorean triples after being multiplied by a number | 15 | |
| 405676042 | Distance Formula | If coordinates of A and B are (X1,Y1) and (X2,Y2) then AB²= (x2-x1)²+ (y2-y1)² | 16 | |
| 405676043 | Equation of a Circle | (x-h)² + (y-k)² = r² | 17 | |
| 405676044 | Polyhedron | A solid formed by polygons that enclose a single region of space | 18 | |
| 405676045 | Faces | the flat polygonal surfaces of a polyhedron | 19 | |
| 405676046 | Tetrahedron | a Polygon with 4 faces | 20 | |
| 405676047 | Hexahedron | a polygon with 6 faces | 21 | |
| 405676048 | Heptahedron | a polygon with 7 faces | 22 | |
| 405676049 | Decahedron | a polygon with 10 faces | 23 | |
| 405676050 | Regular dodecahedron | 12 faces, each meet vertex in exactly the same way | 24 | |
| 405676051 | Bases | the faces that are not the lateral faces | 25 | |
| 405676052 | Lateral Edges | where the lateral faces meet | 26 | |
| 405676053 | Prism | a polyhedron with 2 bases that are congruent and parallel polygons. And the lateral faces are parallelograms formed by segments connecting the corresponding vertices of the bases | 27 | |
| 405676054 | Pyramid | a shape with 1 base. triangle faces | 28 | |
| 405676055 | Sphere | the set of all points in space at the given distance (r) from the given point (c) | 29 | |
| 405676056 | Hemisphere | Half of the sphere, base is the Great cicle | 30 | |
| 405676057 | Cylinder | circle bases, axis is line segment of two centers, right cylinder | 31 | |
| 405676058 | Cone | 1 circular bases, has vertex, | 32 | |
| 405676059 | Volume | measurement of the amount of space an object takes up | 33 | |
| 405676060 | Ratio | an expression that compares 2 quantities by division | 34 | |
| 405676061 | Proportion | a statement of equality between 2 ratios | 35 | |
| 405676062 | Similar Polygons | two polygons are similar iff the corresponding angles are congruent, and the corresponding sides are proportional | 36 | |
| 405676063 | Sinϴ | ratio of opposite : hypotenuse | 37 | |
| 405676064 | cosϴ | ratio of adjacent : hypotenuse | 38 | |
| 405676065 | tanϴ | ratio of opposite : adjacent | 39 | |
| 405676066 | Rectangle Area Conjecture | the area of a rectangle is given by the formula a=bh where b is length of base and h is the height of the rectangle | 40 | |
| 405676067 | Parallelogram Area Conjecture | the are of a parallelogram is given by the formula A=bh where A is the area b is the length and h is hte height | 41 | |
| 405676068 | Triangle Area Conjecture | the area of a triangle is given by the formula A=1/2bh where A is the area, b is the length of the base, and h is the height of the triangle | 42 | |
| 405676069 | Trapezoid Area Conjecture | the area of a trapezoid is given by the formula A=h(b1+b2)/2 where A=area, b1+b2=length of bases, and h=height | 43 | |
| 405676070 | Kite Area Conjecture | the area of a kite is given by the formula A=1/2d₁d₂, where A is the area, and d₁ and d₂ are the lengths of the two diagonals | 44 | |
| 405676071 | Regular Polygon Area Conjecture | the area of a regular polygon is given by the formula A=1/2asn where A is the are, a is the apothem, s is the length of each side, and n is the number of sides | 45 | |
| 405676072 | Circle Area Conjecture | the area of a circle is given by the formula A=∏r² where A is the are and r is the radius of the circle | 46 | |
| 405676073 | Sector of a Circle | A region bounded by two radii of the circle and their intercepted arc | 47 | |
| 405676074 | Segment of a Circle | the region between a chord of a circle and the included arc | 48 | |
| 405676075 | Area of a sector | (angle°/360°)(πr²) | 49 | |
| 405676076 | Area of a Segment | (angle°/360°)(πr²) - 1/2bh | 50 | |
| 405676077 | Area of an annulus | πR²-πr² | 51 | |
| 405676078 | Explain the process of finding the surface area of a Prism, Cylinder, Pyramid and Cone | ... | 52 | |
| 405676079 | Pythagorean Theorem | In a right triangle, if A and B are legs, and C is the hypotenuse then A²+B²=C² | 53 | |
| 405676080 | Converse of the Pythagorean Theorem | If the lengths of the 3 sides work in the pythagorean theorem. then the triangle is a right triangle | 54 | |
| 405676081 | Isosceles Right Triangles Conjecture | In an isosceles right triangle, of the legs have length x then the hypotenuse has length x√2 45-45-90 | 55 | |
| 405676082 | 30-60 Right Triangle Conjecture | in a 30-60 right triangle, if the opposite side the 30 degree angle has length x, the the hypotenuse has length x√3 | 56 | |
| 405676083 | Pythagorean Multiples Conjecture | If you multiply all lengths of a right triangle by the same #, then it is still a right triangle | 57 | |
| 405676084 | Tangent Conjecture | A tangent to a circle is ⊥ to the radius drawn to the point of tangency | 58 | |
| 405676085 | Prism-Cylinder Surface Area and Volume Conjectures | If B is Area of base of a prism or a cylinder. H= height of solid. then the formula is V=BH | 59 | |
| 405676086 | Pyramid-Cone Surface Area and Volume Conjectures | If B= Area of base of pyramid or cone and H= height of solid. the Formula is V=1/3BH | 60 | |
| 405676087 | Sphere Volume Conjecture | the volume of a sphere with radius r is given by the formula V=4/3πr³ | 61 | |
| 405676088 | Sphere Surface Area Conjecture | the surface area, SA, of a sphere with radius r is given by the formula SA=4πR² | 62 | |
| 405676089 | SSS Similarity Conjecture | if the 3 sides of one triangle are proportional to the 3 sides of another triangle, then the triangles are similar | 63 | |
| 405676090 | AA Similarity Conjecture | If two angles in a triangle are congruent to two angles in another triangle, then the triangles are similar. | 64 | |
| 405676091 | SAS Similarity Conjecture | If two sides of one triangle are proportional to two sides of another and their included angles are congruent, then the triangles are similar. | 65 | |
| 405676092 | Proportional Parts Conjecture | If two triangles are similar, then the corresponding altitudes, medians, and angle bisectors are proportional to the corresponding sides. | 66 | |
| 405676093 | Proportional Area Conjecture | if 2 similar polygons have lengths of corresponding sides in the ratio of m/n then their areas are in the ratio of (m²/n²) | 67 | |
| 405676094 | Proportional Volume Conjecture | if corresponding dimensions in the ratio of m/n then their volumes are in the ratio of (m³/n³) | 68 | |
| 405676095 | Parallel Proportionality Conjecture | If a line parallel to one side of a triangle passes through the other two sides, then it divides the other two sides proportionally. Conversely, if a line cuts two sides of a triangle proportionally, then it is parallel to the third side. | 69 | |
| 405676096 | Extended Parallel Proportionality Conjecture | If two or more lines pass through two sides of a triangle parallel to the third side, then they divide the two sides proportionally. | 70 | |
| 405676097 | Sine, Cosine and Tangent of right triangles | ... | 71 | |
| 405676098 | Law of Sines | sinA/a=sinB/b=sinC/c For a triangle with angle measures A,B,C and side lengths a,b,c | 72 | |
| 405676099 | Law of Cosines | c²=a²+b²-2abcosC | 73 | |
| 405676100 | Multiplying, Dividing Polynomials | ... | 74 | |
| 405676101 | Factoring Trinomials | ... | 75 | |
| 405676102 | Simplifying Rational Expressions | ... | 76 | |
| 405676103 | Perfect Squares and Square Root Properties | ... | 77 | |
| 405676104 | Deductive Reasoning (4 basic rules) | ... | 78 | |
| 405676105 | Inductive Reasoning | ... | 79 | |
| 405676106 | Direct Proofs | ... | 80 | |
| 405676107 | Indirect Proofs | ... | 81 | |
| 405676108 | Conditional Proofs | ... | 82 | |
| 405676109 | Geometric Proofs | ... | 83 | |
| 405676110 | Properties of Algebra and Equality | ... | 84 | |
| 405676111 | Probability | the likelihood that a particular event will occur | 85 | |
| 405676112 | Conditional Probability | the probability that an event will occur given that oneor more other events have occurred | 86 | |
| 405676113 | Expected Value | The weighted average of all of the possible outcomes of a probability distribution. | 87 | |
| 405676114 | Venn Diagrams | ... | 88 |
