Geometry 4.11 Day 2
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The document discusses two theorems about proportional side splitting in triangles. Theorem 4.1 states that if a segment between two sides of a triangle is parallel to the third side, it splits the sides proportionally with the same ratio. Theorem 4.2 states that if a segment splits two sides of a triangle proportionally, then the segment is parallel to the third side. The document provides examples to show how to use Theorems 4.1 and 4.2 to determine if segments are parallel or splitting sides proportionally.
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This document discusses proving that two lines are parallel using theorems about angles formed when a transversal crosses the lines. It provides examples of using the converse of corresponding angles, alternate interior angles, same-side interior angles, and alternate exterior angles postulates/theorems to show that lines are parallel given information about the angles. It also includes examples applying these concepts to solve geometry problems and prove lines are parallel in practical applications like carpentry.
Realiabilty and item analysis in assessment
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Trig 1 notes
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Week-2-Bernardo.pptx
This document outlines a geometry lesson on various theorems including the midline theorem, midsegment theorem of trapezoids, theorems on isosceles trapezoids, and theorems on kites. It includes learning activities to help students understand and apply these theorems, such as using a scavenger hunt, cutting and reconnecting shapes, and solving practice problems. The overall learning objectives are for students to be able to prove and apply these different geometry theorems.
Traps and kites updated2014
1. The document provides definitions and properties of kites and trapezoids, including that a kite has two pairs of congruent consecutive sides and a trapezoid has one pair of parallel sides.
2. Two examples show using properties of kites and trapezoids to solve problems, such as finding missing angle measures in a kite and finding side lengths in isosceles trapezoids.
3. The trapezoid midsegment theorem states that the midsegment of a trapezoid is half the sum of the legs, and this is used to find a missing side length in one example.
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- 1. Do Now Solve for x and y 3-31-09 15 5 30 x y A B D C E