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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. 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. 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. 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. 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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