# Geometry Final

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2017-05-01 20:43

## Section 1

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

circle | a plane figure whose boundary consists of points equidistant from a fixed point (the center) |

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

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

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

circumference of a circle | distance around the circle (2pieR) |

area of a circle | amount of space occupied by the circle (pieRsquare) |

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

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

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

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

## Section 2

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

area of a regular polygon | 1/2 (apothem) (perimeter) |

standard form of a circle | (x-h)^2 + (y-k)^2=r^2 |

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

centroid | point where all 3 medians intersect |

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

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

perpendicular bisector | Line that is perpendicular to the segment at its midpoint |

circumcenter | point where the perpendicular bisectors intersect |

transversal | third line that intersects 2 parallel lines |

Euclid's 5th postulate | parallel postulate |

## Section 3

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

polyhedron | 3D geometric figure whose sides are polygons |

"poly" | many |

"edron" | faces |

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 | highest point in the polyhedron |

## Section 4

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

prism | solid figure whose bases are congruent and parallel to one another and whose sides are parallelograms (named by # of bases) |

bases | the upper and lower parallel faces of the prism |

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

platonic solids | regular polyhedra |

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

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

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

## Section 5

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

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

Euler's Formula | V + F = E + 2 |

lateral area | the sum of all the sides of a 3D object excluding its bases |

lateral faces | faces of a prism that are not bases |

lateral edges | segments that formed when faces meet |

How do you find the lateral area of a sphere? | you don't |

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

What is the measure of a semicircle? | 180 degrees |

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

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

## Section 6

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

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

tangent | line in the plane of the circle that touches the circle in exactly 1 point |

secant | line that contains a chord |

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

area of sector | x/360 (pieR^2) |

## Section 7

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

congruent | 2 figures that have the same shape and size |

similarity | objects differ in size but not in shape |

CPCTC | corresponding parts of congruent triangles are congruent |

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

4 Euclidean transformations | rotations, translations, reflections, glide reflections |

rotation | transformation between points and their image points are transformed to a new angle positive |

reflection | transformation between pts and their image pts so that each image is transformed as a mirror image over a line. |

translation | transformation between points and their image points so that each image is the same distance and in the same direction from the original point |

## Section 8

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

glide reflection | transformation between points and their image points where the image points are the product of a reflection and then have a translation parallel to the fixed line of reflection |

dilation | to resize a figure by making it larger or smaller |

line of symmetry | the imaginary line where you could fold the image and have both halves match exactly. |

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

regular tessellation | made up of the same congruent regular polygons |

semiregular tessellation | formed by 2 or more regular polygons |

coding | writing the arrangement of polygons at any vertex |

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