Transversal: Parallel Lines and Transversals

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Presentation transcript:

Transversal: Parallel Lines and Transversals Corresponding Angles: Alternate Interior Angles Alternate Exterior Angles: Corresponding Angles: Corresponding Angles: Alt. Int. Angles: Alt. Int. Angles: Alt. Ext. Angles: Alt. Ext. Angles: A line that intersects two or more lines at different points When a transversal cuts through parallel lines, certain angles formed are congruent. Two angles that occupy the same position. (like “upper left corner”) 3 1 6 8 7 5 4 2 h t d Two angles that lie between the two lines on opposite sides of the transversal. Two angles that lie outside the two lines on opposite sides of the transversal. 1 4 2 3 5 6 7 8 t n k

1. Transversal t intersects parallel lines m and n. If , find the measures of the other numbered angles. Explain your reasoning. 2. Find the value of x that makes lines m and n parallel. 118° (9x+10)° 3. In the figure, . Name all angles congruent to . 1 4 6 5 8 3 2 7 m n t m n t r t s 3 1 6 8 7 5 4 2