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1. COORDINATE GEOMETRY Classify with vertices
1. COORDINATE GEOMETRY Classify with vertices

... Test choice F. None of the vertices are labeled O. This is incorrect Test choice G: Segment XC connects the third vertex of the triangle to the first vertex. However; segment ML connects the second vertex of the triangle to the third vertex. This is incorrect. Test choice H: Angle X is the third ver ...
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Lecture 1: Trigonometric Functions: Definitions
Lecture 1: Trigonometric Functions: Definitions

... cos(90◦ ) = 0. Note that tangent is not defined for 90◦ . 1.2 Extending the definitions We now extend the definitions of sine, cosine, and tangent to functions on all of (−∞, ∞). To do so, we first note that we may restrict our discussion to right triangles with hypotenuses of length 1. In that case ...
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... MCC9-12.G.CO.10 Prove theorems about triangles. Theorems include: measure of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a trian ...
Unit 1 Lessons Aug. 2015 - Campbell County Schools
Unit 1 Lessons Aug. 2015 - Campbell County Schools

... angles; angles of a triangle sum to 180°; parallel lines, perpendicular lines I can determine the distance and midpoint of segments on a coordinate plane. ...
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AAS Theorem - Math Story

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nSpire activity

... Open the TI-Nspire document Interior_Angles_of_Regular_Polygons.tns. A regular polygon is a closed figure in a plane that is equilateral and equiangular. Therefore, the sides of a regular polygon are congruent, and the angles are also congruent. In this activity, you will explore the interior angles ...
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If two angles are congruent, they are right angles

Investigation 1 • Which Angles Are Congruent?
Investigation 1 • Which Angles Are Congruent?

... Repeat Step 1, using the intersecting lines you drew on this worksheet, but this time rotate your patty paper 180° so that the transversal lines up again. What kinds of congruent angles have you created? Trace the lines and angles and mark the congruent angles. Are the lines parallel? Check them. ...
211 - Mathematics Learner Guide Secondary Course Course Coordinator
211 - Mathematics Learner Guide Secondary Course Course Coordinator

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Rational trigonometry

Rational trigonometry is a proposed reformulation of metrical planar and solid geometries (which includes trigonometry) by Canadian mathematician Norman J. Wildberger, currently an associate professor of mathematics at the University of New South Wales. His ideas are set out in his 2005 book Divine Proportions: Rational Trigonometry to Universal Geometry. According to New Scientist, part of his motivation for an alternative to traditional trigonometry was to avoid some problems that occur when infinite series are used in mathematics. Rational trigonometry avoids direct use of transcendental functions like sine and cosine by substituting their squared equivalents. Wildberger draws inspiration from mathematicians predating Georg Cantor's infinite set-theory, like Gauss and Euclid, who he claims were far more wary of using infinite sets than modern mathematicians. To date, rational trigonometry is largely unmentioned in mainstream mathematical literature.
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