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Geometry Final

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dmr1001's version from 2017-05-01 18:41

Section 1

Question Answer
central anglean angle with its vertex at the center of the circle
minor arcmeasure of the central angle
semi circlemeasure = 180
chorda line segment that joins 2 points on the circumference of a circle
diameterchord that passes through the center of a circle
inscribed angleformed by 2 chords that meet on the same point in a circle
tangentline in the plane of a circle that touches circle in exactly one point. point of tangency
secantline that contains a chord
sectora region bounded by 2 radii and an arc of the circle
isometrya transformation of a geometric figure that preserves length and angle measure of the figure and its image under the transformation
memorize

Section 2

Question Answer
rotationone point is fixed and the image points are transformed to a negative position
reflectiontransformed as a mirror image
translationeach point is moved the same distance in the same direction from the original point
glide reflectionthe product of a reflection and then a translation
tessellationcreated when a shape is continuously repeated on a plane without any gaps or overlaps
eschertessellations = tiling
pure tessellationcreated using only one shape
semi pure tessellationinvolves more than one type of polygon
semiregular tessellationformed by 2 or more regular polygons. the arrangement of polygons at every vertex point is identical
diametera line segment that passes through the center of a circle and whose endpoint lie on the circle
memorize

Section 3

Question Answer
locusset of points that forms a geometric figure or graph
circumference of a circledistance around circle. 2*pie*r
area of a circleamount of space occupied by the circle pie*r^2
circumscribeto enclose or draw a ling around an object
inscribean object that is enclosed within a geometric figure
central angleangle formed by 2 radii drawn to consecutive vertices
apothemthe perpendicular distance from the center of the polygon to a side
area of a regular polygonhalf 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
mediansegment from a vertex to the midpoint of the opposite side
centroidwhere the 3 medians intersect
altitudethe perpendicular segment from a vertex to the line that contains the opposite side
orthocenterthe point where all 3 altitudes of the triangle intersect
memorize

Section 4

Question Answer
perpendicular bisectorsa line that is perpendicular to the segment at its midpoints
circumcenterthe point where the perpendicular bisectors intersect
transveralstwo lines intersected by a third
polyhedron3D geometric figure whose sides are polygons
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
apexthe highest point in the polyhedron
prismsa solid figure whose bases are congruent and parallel to one another and whose sides are parallelograms
memorize

Section 5

Question Answer
right prismprism with bases perpendicular to its sides
oblique prismsdo not form right angles with their sides
regular pyramida polyhedron with a base that is a regular polygon and a vertex point that lies directly over the center of the base
circlea plane whose boundary consists of points
regular polyhedrahave faces that are congruent regular polygons. have the same number of edges coming together at each vertex. platonic solids
cylinder3D 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 areathe sum of all the sides of a 3D object. no base
arca curved segment that is part of the circumference of the circle
spherea round solid figure with every point on its surface equidistant from its center
cone3D curved surface having a circle as its base
radiusa line segment from a center of a circle to its boundary
memorize