Term
| projection of a point on a line |
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Definition
| using the notion that a projection of a given point P is the shadow of that point on a given line l, we say that point x is the projection of point P on l. formally, the projection of a point on a line is the point of intersection of teh line and the perpendicular from that point to the line. Note: when the given point lies on the given line, it is considered to be its own projection on that line |
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Term
| projection of a segment on a line in the same plane |
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Definition
| using the notion that a projection of a given segment AB is the shadow of that segment on a given line l, we say taht MN is the projection of AB on l. Formally, the projection of a segment on a line in the same plane is the segment whose endpoints are the projections of the endpoints of the given segments |
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Term
| geometric mean in a proportion |
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Definition
| in a proportion when teh second adn third terms are equal in value, that value is called the geometric mean between the first and fourth terms |
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Term
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Definition
| if you ahve a right triangle then either leg is the geometci mean between the hypotenuse fo the triangle and the projection of that leg on that hypontenuses |
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Term
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Definition
| if you ahve a right triangle then the altitude drawn to the hypontenuse divides taht hypotenuse inot two segments in such a way taht hte altitude is the geometric mean between the two segments formed by drawing that altitude |
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Term
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Definition
| if you ahe an altitude drawn to the hypotenuse of a right triangle, then the product of the lengths of that altitude and the hypotenuses is equal to teh product of the lengths of the two legs |
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