# Geometry Final

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2017-05-01 18:41

## Section 1

Question | Answer |
---|---|

central angle | an angle with its vertex at the center of the circle |

minor arc | measure of the central angle |

semi circle | measure = 180 |

chord | a line segment that joins 2 points on the circumference of a circle |

diameter | chord that passes through the center of a circle |

inscribed angle | formed by 2 chords that meet on the same point in a circle |

tangent | line in the plane of a circle that touches circle in exactly one point. point of tangency |

secant | line that contains a chord |

sector | a region bounded by 2 radii and an arc of the circle |

isometry | a transformation of a geometric figure that preserves length and angle measure of the figure and its image under the transformation |

## Section 2

Question | Answer |
---|---|

rotation | one point is fixed and the image points are transformed to a negative position |

reflection | transformed as a mirror image |

translation | each point is moved the same distance in the same direction from the original point |

glide reflection | the product of a reflection and then a translation |

tessellation | created when a shape is continuously repeated on a plane without any gaps or overlaps |

escher | tessellations = tiling |

pure tessellation | created using only one shape |

semi pure tessellation | involves more than one type of polygon |

semiregular tessellation | formed by 2 or more regular polygons. the arrangement of polygons at every vertex point is identical |

diameter | a line segment that passes through the center of a circle and whose endpoint lie on the circle |

## Section 3

Question | Answer |
---|---|

locus | set of points that forms a geometric figure or graph |

circumference of a circle | distance around circle. 2*pie*r |

area of a circle | amount of space occupied by the circle pie*r^2 |

circumscribe | to enclose or draw a ling around an object |

inscribe | an object that is enclosed within a geometric figure |

central angle | angle formed by 2 radii drawn to consecutive vertices |

apothem | the perpendicular distance from the center of the polygon to a side |

area of a regular polygon | half the product of the apothem and the perimeter |

equation of a circle | (x-h)^2 + (y-k)^2 = r^2 h and k are the x and y of the center of the circle |

median | segment from a vertex to the midpoint of the opposite side |

centroid | where the 3 medians intersect |

altitude | the perpendicular segment from a vertex to the line that contains the opposite side |

orthocenter | the point where all 3 altitudes of the triangle intersect |

## Section 4

Question | Answer |
---|---|

perpendicular bisectors | a line that is perpendicular to the segment at its midpoints |

circumcenter | the point where the perpendicular bisectors intersect |

transverals | two lines intersected by a third |

polyhedron | 3D geometric figure whose sides are polygons |

face | a flat surface of a polyhedron |

edge | the intersection of the faces in a polyhedron |

lateral face | the face that joins the bases of a polyhedron |

vertex | a point where 2 or more straight lines meet |

apex | the highest point in the polyhedron |

prisms | a solid figure whose bases are congruent and parallel to one another and whose sides are parallelograms |

## Section 5

Question | Answer |
---|---|

right prism | prism with bases perpendicular to its sides |

oblique prisms | do not form right angles with their sides |

regular pyramid | a polyhedron with a base that is a regular polygon and a vertex point that lies directly over the center of the base |

circle | a plane whose boundary consists of points |

regular polyhedra | have faces that are congruent regular polygons. have the same number of edges coming together at each vertex. platonic solids |

cylinder | 3D closed surface bounded on 2 ends by circular bases |

surface area | the total area of the surface of a 3D object with the base |

lateral area | the sum of all the sides of a 3D object. no base |

arc | a curved segment that is part of the circumference of the circle |

sphere | a round solid figure with every point on its surface equidistant from its center |

cone | 3D curved surface having a circle as its base |

radius | a line segment from a center of a circle to its boundary |

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