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40 Cards in this Set
- Front
- Back
circular region |
area inside the circle |
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radius |
distance from the center to the edge |
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diameter |
starts @ one side of the circle goes through the center point and ends up on the other side |
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2 kinds of slices of a circle |
segment(made from a chord) and sector(pizza slice) |
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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 |
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central angle |
an angle with its vertex at the center of the circle |
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inscribed angle |
and angle with its vertex on the circle and its sides along chords of the circle (intercepts and arc) |
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angle bisector |
when one angle is cut into 2 angles of the same size |
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perpendicular bisector |
bisects a line segment into 2 equal parts. |
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2 or more circles with the same center are said to be |
concentric circles
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a line that touches a circle in only on point is called a __________ to the circle |
tangent |
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a _______ is the 3D set of points at a fixed point. (center) a ______________ is a half a sphere |
sphere hemisphere |
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Curves and circles are needed because ________ and _________ alone make it hard to model real life objects. |
straightness and flatness |
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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. |
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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 |
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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 |
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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 |
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two type of sectors |
quadrant and semicircle |
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circumference |
the distance around the edge of the circle |
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how do you get pi |
circumference/diameter |
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when the diameter is 1, the circumference is.... |
3.14....... |
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circumference = |
pi x d |
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constuction |
in geometry means to draw shapes, angles or lines accurately |
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define circle |
the set of all points on a plane that are a fixed distance from a center |
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area of a circle |
A=pi(r)squared |
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special names to describe a circle |
arc chord center diameter tangent |
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chord |
a line that goes from one point to another on the circles circumference |
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tangent |
a line that just touches the circle as it passes by |
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arc |
part of the circumference of a circle |
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two triangles are similar IF .... |
they are equiangular AAA or AA |
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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 |
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how do we denote similarity |
~ (tilde) |
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examples of shapes that are similar |
straight lines, circles AND |
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similarity definition |
if 2 images are similar, then by shrinking/enlarging one, the other can be obtained |
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difference between similarity and congruency |
similarity: same shape congruent: same shape and size |
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dilation |
type of transformation that produces an image that is the same shape as the original, but different size. |
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original image is called |
image |
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new image is called |
pre image |
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as long as means to |
multiply |
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more than means to |
add |