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The alternate interior angles theorem states that alternate interior angles formed when a transversal intersects a pair of parallel lines are congruent. Use the properties of the sine and/or cosine ratios to prove this is true for a rectangle. For full credit your answer must include the following: . An image or drawing of a rectangle with all side lengths must be identified. Your image must have the diagonal drawn in with the length identified. • A pair of alternate interior angles must be identified. . Calculations for the values of sine and cosine for both interior angles must have work shown or explained. ● . Calculation of the measures of the alternate interior angles must have work shown or explained.

The alternate interior angles theorem states that alternate interior angles formed when a transversal intersects a pair of parallel lines are congruent. Use the properties of the sine and/or cosine ratios to prove this is true for a rectangle. For full credit your answer must include the following: . An image or drawing of a rectangle with all side lengths must be identified. Your image must have the diagonal drawn in with the length identified. • A pair of alternate interior angles must be identified. . Calculations for the values of sine and cosine for both interior angles must have work shown or explained. ● . Calculation of the measures of the alternate interior angles must have work shown or explained.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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The alternate interior angles theorem states that alternate interior angles formed when a transversal intersects a pair of parallel lines are congruent. Use the properties of the sine and/or cosine ratios to prove this is true for a rectangle. For full credit your answer must include the following: • An image or drawing of a rectangle with all side lengths must be identified. • Your image must have the diagonal drawn in with the length identified. • A pair of alternate interior angles must be identified. Calculations for the values of sine and cosine for both interior angles must have work shown or explained. Calculation of the measures of the alternate interior angles must have work shown or explained.
Transcribed Image Text:The alternate interior angles theorem states that alternate interior angles formed when a transversal intersects a pair of parallel lines are congruent. Use the properties of the sine and/or cosine ratios to prove this is true for a rectangle. For full credit your answer must include the following: • An image or drawing of a rectangle with all side lengths must be identified. • Your image must have the diagonal drawn in with the length identified. • A pair of alternate interior angles must be identified. Calculations for the values of sine and cosine for both interior angles must have work shown or explained. Calculation of the measures of the alternate interior angles must have work shown or explained.
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