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Means to turn around a center: The distance from the center to any point on the shape stays the same. |
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| (notation ) is a transformation of the plane that slides every point of a figure the same distance in the same direction. |
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| The angle sum in a triangle is 180 degrees |
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| Isosceles Triangle Theorem |
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| A triangle is isosceles if and only if the angles opposite the congruent sides are congruent |
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| A midsegment of a triangle is parallel to the third side and is half as long. |
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| The measure of an exterior angle of a triangle is equal to the sum of the measures of the two opposite interior angles. [For ABC with exterior angle Aʹ, m<Aʹ = m<B + m<C] |
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| A triangle is congruent when all three sides are exactly the same. |
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"sss" is when we know three sides of the triangle, and want to find the missing angles.
"Side,Side,Side" |
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"sas" is when we know two sides and the angle between them.
"Side,Angel,Side" |
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"ASA" is when we know two angles and a side between the angles.
"Angle,Side,Angel" |
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"AAS" is when we know two angles and one side (which is not between the angles).
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Two right triangles are congruent if the hypotenuse and one corresponding leg are equal in both triangles. |
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All three of its sides are equal in length and all angels have the same measures
(Equiangular) |
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| At least two of its sides are equal in length |
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| Three sides are different in length and three different angle measures |
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| All three internal angles are actue (Less than 90 degrees!) |
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| Has one angle equivalent to 90 degrees |
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| One of the internal angles is obtuse (Greater than 180 degrees!) |
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| Two angles are supplementary if they add up to 180°. |
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A linear pair is a pair of adjacent angles that form a straight line, and are thus supplementary. |
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| Vertical angles are formed when two lines intersect forming four angles; each opposite pair are vertical angles. (Vertical angles are congruent!) |
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Helps you find a missing side of a triangle with the equation:
a2 + b2 = c2
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One way to remembering how to compute the sine, cosine, and tangent of an angle. SOH stands for Sine equals Opposite over Hypotenuse. CAH stands for Cosine equals Adjacent over Hypotenuse. TOA stands for Tangent equals Opposite over Adjacent. |
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Hypotenuse = Distance from start up to object
Opposite = Height of the object
Adjacent = Distance along your line of sight to object |
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Hypotenuse = Distance from start down to object
Opposite = Height of object
Adjacent = Distance to the object along your line of sight |
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Using the equation [image] you can find the third side of a triangle when you know two sides and the angle between them. As well as when you are trying to find an angel when you know all three sides. |
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It is the relationship between the sides and angles of non-right. Using the equation [image], you are able to find the correct answer. |
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Height of wave from the midline |
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Using this equation helps you find your answer:
Y= a * sin(bx-c) + d |
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