Geometry Final

version from 2017-05-01 20:43

Section 1

circlea plane figure whose boundary consists of points equidistant from a fixed point (the center)
radiusa line segment from a center or a circle to its boundary
diametera line segment that passes through the center of a circle and whose endpoints lie on the circle
locusset of points that forms a geometric figure or graph
circumference of a circledistance around the circle (2pieR)
area of a circleamount of space occupied by the circle (pieRsquare)
circumscribeto enclose or draw a line around an object
inscribean object that is enclosed within a geometric figure
apothemperpendicular distance from the center of the polygon to a side
central angle angle formed by 2 radii drawn to consecutive vertices

Section 2

area of a regular polygon1/2 (apothem) (perimeter)
standard form of a circle (x-h)^2 + (y-k)^2=r^2
mediansegment from a vertex to the midpoint of the opposite side
centroidpoint where all 3 medians intersect
altitudeperpendicular segment from a vertex to the line that contains the opposite side
orthocenterpoint where all 3 altitudes of the triangle intersect
perpendicular bisectorLine that is perpendicular to the segment at its midpoint
circumcenterpoint where the perpendicular bisectors intersect
transversalthird line that intersects 2 parallel lines
Euclid's 5th postulateparallel postulate

Section 3

polyhedron3D geometric figure whose sides are polygons
"poly"many
"edron"faces
facea flat surface of a polyhedron
edgethe intersection of the faces in a polyhedron
lateral facethe face that joins the bases of a polyhedron
vertexa point where 2 or more straight lines meet
apexhighest point in the polyhedron

Section 4

prismsolid figure whose bases are congruent and parallel to one another and whose sides are parallelograms (named by # of bases)
basesthe upper and lower parallel faces of the prism
regular pyramidpolyhedron with a base that is a regular polygon and a vertex point that lies directly over the center of base
platonic solidsregular polyhedra
cylinder3D closed surface bounded on 2 ends by circular bases
cone3D curved surface having a circle as its base
sphereround solid figure with every point on its surface equidistant from its center

Section 5

surface areathe total area of the surface of a 3D object
Euler's Formula V + F = E + 2
lateral areathe sum of all the sides of a 3D object excluding its bases
lateral faces faces of a prism that are not bases
lateral edgessegments that formed when faces meet
How do you find the lateral area of a sphere?you don't
Arccurved segment that is part of the circumference of a circle
What is the measure of a semicircle?180 degrees
chorda line segment that joins 2 points on the circumference of the circle
diameterchord that passes through the center of a circle

Section 6

inscribed angleformed by 2 chords that meet at the same point on a circle
tangentline in the plane of the circle that touches the circle in exactly 1 point
secantline that contains a chord
sectorregion of a circle bounded by 2 radii and an arc of the circle
area of sector x/360 (pieR^2)

Section 7

congruent2 figures that have the same shape and size
similarityobjects differ in size but not in shape
CPCTCcorresponding parts of congruent triangles are congruent
isometrytransformation of geometric figures that preserves the length and angle measure of the geometric figure and its image under the transformation
4 Euclidean transformationsrotations, translations, reflections, glide reflections
rotationtransformation between points and their image points are transformed to a new angle positive
reflectiontransformation between pts and their image pts so that each image is transformed as a mirror image over a line.
translationtransformation between points and their image points so that each image is the same distance and in the same direction from the original point