This is a rather typical example of how parallel lines will appear in a geometric proof. This proof makes use of alternate interior angles as well as triangle congruence and CPCTC.
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This is a good example of a more complicated parallel lines proof. In this proof you will make use of both alternate interior angles as well as corresponding angles. You will also need to use the substitution postulate to get the statement you need. (Remember, this substitution trick ...
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Here is one of the problems from your worksheet. This is a classic double triangle congruence problem where you need to find one pair of triangles congruent, and then use them to get information on another pair of triangles.
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Here is one of the problems from your worksheet. This is a classic double triangle congruence problem where you need to find one pair of triangles congruent, and then use them to get information on another pair of triangles.
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This week we are focusing on the two different mean proportionals formed when you draw an altitude to the hypotenuse of a right triangle. In this video we look at three separate problems. The first, utilizes the fact that the altitude is the mean proportional to the two projections; th...
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In this proof we look at a relatively simple application of the triangle inequality. The triangle inequality states that each side of a triangle must be less than the sum of the other two sides. This is a special application of the fact that the shortest distance between two points is a...
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In this video we will go through the NYS Fall 2008 Sampler for the upcoming Geometry Regents. This video is the 4th in a multipart series in which I go through the entire test question by question. I will show you how to do each problem. I will also talk you through my process as I go ...
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In this proof we look at a relatively generic application of the exterior angle inequality theorem. The exterior angle inequality theorem states that the exterior angle of a triangle must be greater than either of the non-adjacent interior angles. In this proof you will notice that we a...
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In this video we will go through the NYS Fall 2008 Sampler for the upcoming Geometry Regents. This video is the 7th in a multipart series in which I go through the entire test question by question. I will show you how to do each problem. I will also talk you through my process as I go ...
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In this video we will go through the NYS Fall 2008 Sampler for the upcoming Geometry Regents. This video is the 9th in a multipart series in which I go through the entire test question by question. I will show you how to do each problem. I will also talk you through my process as I go ...
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In this proof we look at a relatively simple application of addition as it applies to inequalities in Geometry. You should notice as we work through this proof that the mechanics are essentially unchanged from a “normal” addition proof; the only difference is that we are working with two...
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