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40 Cards in this Set

  • Front
  • Back

circular region

area inside the circle

radius

distance from the center to the edge

diameter

starts @ one side of the circle goes through the center point and ends up on the other side

2 kinds of slices of a circle

segment(made from a chord) and sector(pizza slice)

If you know the measure of an arc, how do you find the measure of the rest of the circle(the other arc)

360 - the measure of the given arc

central angle

an angle with its vertex at the center of the circle

inscribed angle

and angle with its vertex on the circle and its sides along chords of the circle (intercepts and arc)

angle bisector

when one angle is cut into 2 angles of the same size

perpendicular bisector

bisects a line segment into 2 equal parts.



2 or more circles with the same center are said to be

concentric circles

a line that touches a circle in only on point is called a __________ to the circle

tangent

a _______ is the 3D set of points at a fixed point. (center)


a ______________ is a half a sphere

sphere


hemisphere



Curves and circles are needed because ________ and _________ alone make it hard to model real life objects.

straightness and flatness

steps for constructing a congruent line segment

1. use a ruler to draw a line longer than the original.


2. open the compass on the original line and measure the distance from the 2 points


3. keep the compass @ this distance, and draw dots at the same distance on the new line.

steps for constructing a perpendicular bisector of a line segment

1. open compass to span of 2/3 the distance of the original segment.


2. with this width, draw an arc above and below the line.


3. go to the other end and do the same


4. draw a straight line b/w where the arcs intersect

steps for constructing an angle congruent to angle B

1. draw a straight line, label point B


2. measure about 2/3 of original line. draw an arc on the original


3. with the same measurement on the compass draw an arc on the new drawing


4. from point B measure to the arc, do this for the new picture, draw the straight line

steps for constructing congruent triangles

1. measure from point A to the point next to it


2. with this measurement, go to new point P and draw an arc


3. label this point R


4. Measure on original from A to B


5. with this measure, from new point P draw an arc


6. on original, measure from B to C


7. with this measure, from previous arc, draw another and label this point Q


8. connect the dots

two type of sectors

quadrant and semicircle

circumference

the distance around the edge of the circle

how do you get pi

circumference/diameter

when the diameter is 1, the circumference is....

3.14.......

circumference =

pi x d

constuction

in geometry means to draw shapes, angles or lines accurately

define circle

the set of all points on a plane that are a fixed distance from a center

area of a circle

A=pi(r)squared

special names to describe a circle

arc


chord


center


diameter


tangent

chord

a line that goes from one point to another on the circles circumference

tangent

a line that just touches the circle as it passes by

arc

part of the circumference of a circle



two triangles are similar IF ....

& if one of the three criteria hold true

they are equiangular
(all corresponding angles are equal)
(all corresponding sides are proportional)




AAA or AA
SSS
SAS



2 shapes are similar IF

1. every pair of corresponding angles have the same size


2. the ratios from every pair or corresponding lengths all equal the same value

how do we denote similarity

~ (tilde)

examples of shapes that are similar
and
Ones that are ALWAYS SIMILAR

straight lines, circles


AND
squares and cubes are ALWAYS SIMILAR

similarity definition

if 2 images are similar, then by shrinking/enlarging one, the other can be obtained

difference between similarity and congruency

similarity: same shape


congruent: same shape and size

dilation

type of transformation that produces an image that is the same shape as the original, but different size.

original image is called

image

new image is called

pre image

as long as means to

multiply

more than means to

add