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Geometry Chapter 9 Vocabulary
;kad4ra
5
Mathematics
10th Grade
03/24/2013

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Cards

Term
Theorem 9.1
Definition
If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other.
Term
Theorem 9.2 (Geometric Mean Theorem #1)
Definition
In a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments. The length of the altitude is the geometric mean of the lengths of the two segments.
Term
Theorem 9.3 (Geometric Mean Theorem #2)
Definition
In a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments.

The length of each leg of the right triangle is the geometric mean of the lengths of the hypotenuse and the segment of the hypotenuse that is adjacent to the leg.
Term
45, 45, 90 triangle Theorem
Definition
IN a 45-45-90 degree triangle, the hypotenuse is root 2 times as long as the leg.
Term
30-60-90 Triangle Theorem
Definition
In a 30-60-90 Degree Triangle, the hypotenuse is twice as long as the shorter leg and the longer leg is root 3 times as long as the shorter.
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