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| A set of three nonzero whole numbers a,b and c that satisfy the Pythagorean theorem |
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| 45-45-90 Triangle Theorem |
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| 30-60-90 Triangle Theorem |
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hypotenuse=2•shorter leg
longer lef=√3•shorter leg |
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| Is it an Obtuse Triangle? |
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| center of a regular polygon |
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| the center of a circumscribed circle |
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| the perpendicular distance from the center to a side. |
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| Area of A Regular Polygon |
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A=1/2ap
(a being the apothem and p being perimeter) |
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the set of all points equidistant from the center.
Very interesting.
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| An angle whose vertex is the center of the circle. |
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| Circumference of A Circle |
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| length of Arc AB= mAB/360•2(pi)r |
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| Area of a Sector of a Circle |
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| A statement that two ratios are equal. |
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If two angles of one triangle are congruent to two angles of another triangle, then they are similar.
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Side-Angle-Side Theorem
(it's so sassy) |
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| If an angle of one triangle is congruent to an angle of a second triangle, and the sides including the two angles are proportional, then the triangles are similar. |
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corresponding sides are congruent.
surprise. |
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| Perimeters and Areas of Similar Figures |
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If the similarity of two figures is a/b , then...
1. The ratio of their perimeters is a/b
AND
2. The ratio for their areas is a2/b2 |
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soh- sine a=0opposite over hypotenuse
CAH=Adjacent over hypotenuse
TOA- tan a=opposite/adjacent |
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| the angle formed by a horizontal line and line of sight to an object above the horizontal. |
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| The angle formed by a horizontal line and the line of sight to an object below the horizontal line. |
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| Any quantity with magnitude and direction. |
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Prisms:
lateral area
surface area
volume |
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Definition
L.A.= ph
(perimeter, height)
S.A.= L.A. + 2 B
(b=base)
Volume= lwh
(length, width, height) |
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Pyramids:
Lateral Area
Surface Area
Volume |
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Definition
L.A.= (pi)dh
(diameter, height)
S.A.= L.A. +2 B
(b=base)
Volume= 1/2bh |
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Cones:
Lateral Area
Surface Area
Volume |
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Definition
L.A.=(pi)rl
(radius, slant height)
S.A.=L.A.+B
Volume= |
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Cylinders:
Lateral Area
Surface Area
Volume |
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Definition
L.A.=(pi)dh
(diameter,height)
S.A.= L.A.+ 2(pi)r2
Volume=(pi)r2h
(radius, height) |
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| a line in the plane of the circle in exactly one point |
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| a change in the position, shape or size of a geometric figure. |
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| the original figure in a transformation |
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| a transformation in which the pre-image and image are congruent. |
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| (slide), an isometry that maps all points of a figure the same distance in the same direction |
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| the rotating of a figure about a point. |
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| a repeating pattern of figures that completely covers a plane. |
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