Issue 22: Geometry...

Sorry a little numbering problems
Ok... a little more Geometry
By Miyu.
A = C
B     D

Extremes: A and D
Means: C and B
Cross Products: The product of the means and the product of the extremes. In other words, if A/B=C/D
then ad=bc
Similar: Two Figures that have the same shape, but not necessarily the same size, are similiar.
Similarity Statement: A statement indicating that two polygons are similar by listing their vertices in order of correspondence. (In the same order)
Theorems:
1.Through a line and a point not on the line, there exist exactly one perpendicular line to the given line.
2.The perpendicular segment from a point to a line is the shortest segment from the point to the line.
3.The perpendicular segment from a point to a plane is the shortest segment from the point to the plane.
4.If two lines are parallel, then all points on one line are equidistant from the other line.
5.If a diameter is perpendicular to a chord, then it bisects the chord and its arcs
6.If a diameter bisects a chord other than another diameter then it is perpendicular to the chord.
7.The perpendicular bisector of a chord contains the center of the circle.
8.In a circle or congruent circles:
Chords equidistant from the center are congruent.
Congruent chords are equidistant from the center of the circle.
9.If two polygons are similar, then the ration of their perimeters is equal to the ratio of their corresponding sides.
Postulate:(AA)(ANGLE ANGLE):If two angles of one triangle are congruent to two angles of another triangle, then the triangle are similar
Theorem: SSS Similarity Theorem: If the length of the sides of a triangle are proportional to the lengths of the sides of another triangles are similar
SAS Similarity Theorem: If two sides of one triangle are proportional to two sides of another triangle and the included angles are congruent, then the triangles are similar
Inscribed Angles: An angle whose vertex is on a circle and whose sides contain chords of the circle.
The arc formed by an inscribed angle is the intercepted arc of that angle.
The measure of an inscribed angle is equal to half the measure of its intercepted arc.
If an inscribed angle intercepts a semicircle, then it is a right angle.
If two inscribed angles intercept the same arc, then they are congruent.
If a quadrilateral is inscribed in a circle, then it has supplementary opposite angles.
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