Miss Watras Honors Geometry Final
Terms : Hide Images
| 834276252 | Polyhedron (face, edge, vertex) | a solid that is bounded by polygons called faces that enclose a single region of space (F+V=E+2) | 0 | |
| 834276253 | face (of a polyhedron) | polygons that enclose a single region of space | 1 | |
| 834276254 | edge (of a polyhedron) | a line segment formed by the intersection of two faces | 2 | |
| 834276255 | vertex (of a polyhedron) | a point where three of more edges meet | 3 | |
| 834276256 | Platonic solids | 5 regular polyhedral (all faces are congruent regular polygons) named after the Greek mathematician and philosopher Plato (regular tetrahedron, a cube, regular octahedron, regular dodecahedron, and regular icosahedron) | 4 | |
| 834276257 | convex polyhedron | if any two points on its surface can be connected by a segment that lies entirely inside or on the polyhedron | 5 | |
| 834276258 | concave polyhedron | a polyhedron that is not convex | 6 | |
| 834276259 | prism | V=BH SA=2B=area of rectangles | 7 | |
| 834276260 | cylinder | V=BH=╥r^2H SA=2╥r^2=2╥r(<-circumference)*H | 8 | |
| 834276261 | pyramid | V=1/3BH SA=B+area of triangles | 9 | |
| 834276262 | cone | V=1/3BH=1/3╥r^2H SA=╥r^2+╥r*l(slant height) | 10 | |
| 834276263 | cross section | the intersection of the plane and the solid | 11 | |
| 834276264 | volume | the number of cubic units contained in its interior (cm^3) V=s^3 | 12 | |
| 834276265 | density | the amount of matter than an object has in a given unit of volume density=mass/volume | 13 | |
| 834276266 | population density | the measure f how many people live within a given area (city, country, or state) population density=number of people/area of land | 14 | |
| 834276267 | surface area | the sum of the areas of the faces of a polyhedron or other solid | 15 | |
| 834276268 | sphere | The set of all points in space equidistant from a given point called the center of the sphere V=4/3╥r^3 SA=4╥r^2 | 16 | |
| 834276269 | great circle | if a plane intersects a sphere the intersection is either a single point of a circle. If the plane contains the center of the sphere, then the intersection is a great circle of the sphere. | 17 | |
| 834276270 | hemisphere | every great circle of a sphere separates the sphere into two congruent halves called hemispheres | 18 | |
| 834276271 | similar solids | two solids of the same type with equal ratios of corresponding linear measures, such as heights or radii, are called similar solids. (If two similar solids have a scale factor of a:b, the corresponding areas have a ratio of a^2:b^2, and corresponding volumes have a ratio of a^3:b^3) | 19 | |
| 834276272 | circumference | the distance around the circle C=2╥r=╥d | 20 | |
| 834276273 | arc length | a portion of the circumference of a circle arc length of AB/2╥r=mAB/360° or Arc length of AB=mAB/360°*2╥r | 21 | |
| 834276274 | area of a circle | A=╥r^2 | 22 | |
| 834276275 | sector of a circle | the region bounded by two radii of the circle and their intercepted arc area of sector APB/╥r^2=mAB/360° or Area of sector APB=mAB/360°*╥r^2 | 23 | |
| 834276276 | center of a polygon | the center of the circle | 24 | |
| 834276277 | radius of a polygon | the radius of its circumscribed circle | 25 | |
| 834276278 | apothem | the distance from the center to any side of the polygon. it is the height of the base of an isosceles triangle that has two radii as legs | 26 | |
| 834276279 | central angle of a regular polygon | an angle formed by two radii drawn to consecutive vertices of the polygon. to find it divide 360° by the number of sides | 27 | |
| 834276280 | circle | the set of all points in a plane that are equidistant from a given point (the center of the circle) | 28 | |
| 834276281 | center | point where all points in a plane are equidistant from | 29 | |
| 834276282 | radius | a segment whose endpoints are the center and any point on the circle | 30 | |
| 834276283 | diameter | a chord that contains the center of the circle | 31 | |
| 834276284 | chord | a segment whose endpoints are on the circle | 32 | |
| 834276285 | secant | a line that intersects a circle in two points | 33 | |
| 834276286 | tangent | a line in the plane of a circle that intersects the circle in exactly one point | 34 | |
| 834276287 | central angle | an angle whose vertex is the center of the circle | 35 | |
| 834276288 | minor arc | if m| 36 | | |
| 834276289 | major arc | The points on circle C that do not lie on minor arc AB form a major arc with endpoints A and B | 37 | |
| 834276290 | semicircle | an arc with endpoints that are the endpoints of a diameter | 38 | |
| 834276291 | congruent circles | Two circles are congruent circles if they have the same radius | 39 | |
| 834276292 | concentric circles | objects share the same center, axis or origin | 40 | |
| 834276293 | congruent arcs | two arcs that have the same measure and are arcs of the same circle or of congruent circles | 41 | |
| 834276294 | inscribed angle | an angle whose vertex is on a circle and whose sides contain chords of the circle | 42 | |
| 834276295 | intercepted arc | The arc that lies in the interior of an inscribed angle and has endpoints on the angle is the intercepted arc of the angle | 43 | |
| 834276296 | diagonal | a segment of a polygon that joins two nonconsecutive vertices | 44 | |
| 834276297 | parallelogram | a quadrilateral with both pairs of opposite sides parallel | 45 | |
| 834276298 | rhombus | a parallelogram with four congruent sides | 46 | |
| 834276299 | rectangle | a parallelogram with four right angles | 47 | |
| 834276300 | square | a parallelogram with four congruent sides and four right angles | 48 | |
| 834276301 | trapezoid | a quadrilateral with exactly one pair of parallel sides (bases) | 49 | |
| 834276302 | isosceles trapezoid | a trapezoid with congruent legs (not parallel) | 50 | |
| 834276303 | midsegment of a trapezoid | a segment that connects the midpoints of its legs | 51 | |
| 834276304 | kite | a quadrilateral that has two pairs of consecutive congruent sides, but opposite sides are not congruent | 52 | |
| 834276305 | Pythagorean Theorem | in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs (a^2 + b^2 = c^2) | 53 | |
| 834276306 | Converse of the Pythagorean Theorem | if the square of the length of the longest side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle (If c^2=a^2+b^2, then triangle ABC is a right triangle) | 54 | |
| 834276307 | Pythagorean triple | a set of three positive integers a, b, and c that satisfy the equation c^2=a^2+b^2. (3,4,5/ 5,12,13/ 7,24,25) | 55 | |
| 834276308 | special right triangles | a right triangle where the relationships of the angles or ratios of sides of these special right triangles allows one to quickly calculate various lengths in geometric problems without resorting to more advanced methods. | 56 | |
| 834276309 | 45-45-90 Triangle Theorem | in a 45°-45°-90° triangle, the hypotenuse is √2 times as long as each leg | 57 | |
| 834276310 | 30-60-90 Triangle Theorem | in a 30°-60°-90° triangle, the hypotenuse is twice as long as the shorter leg, and the longer leg is √3 times as long as the shorter leg | 58 | |
| 834276311 | geometric mean | for two positive numbers a and b, the positive number x that satisfies a/x=x/b. so, x^2=ab and x=√AB | 59 | |
| 834276312 | dilation | a transformation that preserves angle measures and results in an image with lengths proportional to the preimage lengths. | 60 | |
| 834276313 | scale factor | in a dilation, the ratio of a side length of the image to the corresponding side length of the original figure (similar polygons) | 61 | |
| 834276314 | similar polygons | two polygons such that their corresponding angles are congruent and the lengths of corresponding sides are porportional | 62 | |
| 834276315 | center of dilation | in a dilation, the fixed point about which the figure is enlarged or reduced | 63 | |
| 834276316 | reduction | a dilation with a scale factor between 0 and 1 | 64 | |
| 834276317 | enlargement | a dilation with a scale factor greater than 1 | 65 | |
| 834276318 | midsegment of a triangle | a segment that connects the midpoints of two sides of the triangle (Every triangle has three midsegments.) | 66 | |
| 834276319 | perpendicular bisector | a segment, ray, line, or plane that is perpendicular to a segment at its midpoint | 67 | |
| 834276320 | median of a triangle | a segment for a vertex to the midpoint of the opposite side | 68 | |
| 834276321 | altitude of a triangle | the perpendicular segment from a vertex to the opposite side or to the line that contains the opposite side | 69 | |
| 834276322 | equidistant | the same distance from one figure as from another figure | 70 | |
| 834276323 | point of concurrency | the point of intersection of concurrent lines, rays, or segments | 71 | |
| 834276324 | circumcenter | the point of concurrency of the three perpendicular bisectors a triangle | 72 | |
| 834276325 | incenter | the point of concurrency of the three angle bisectors of triangle | 73 | |
| 834276326 | orthocenter | the point at which the lines containing the three altitudes of a triangle intersect | 74 | |
| 834276327 | centroid | the point of concurrency created by the three concurrent medians of a triangle inside the triangle | 75 | |
| 834276328 | Hinge Theorem | If two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first is longer than the third side of the second. | 76 |
