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1. Parallel lines are coplanar. 2. Skew lines intersect. 3. Alternate interior angles are supplementary. 4. If lines are parallel, then corresponding angles are congruent. 5. The interior angles of a triangle sum to 360. 6. The exterior angles of a triangle sum to 360. 7. A triangle is a regular polygon. 8. Inductive reasoning is __________ based on a theorem. 9. A right triangle is scalene. 10. An obtuse triangle is equiangular. 11. A regular polygon is equilateral. b a 1 2 5 3 6 9 13 4 7 10 c 8 11 14 12 15 d 16 Say whether the angles are alternate interior, same-side interior or corresponding 1. 2 and 13 5. 6 and 14 2. 1 and 6 6. 15 and 4 3. 10 and 11 7. 8 and 12 4. 3 and 11 8. 6 and 3 In the picture below, either a || b, c || d or neither b a 1 2 5 3 6 9 13 4 7 10 c 8 11 14 12 15 d 16 1. 5 suppl. 9 5. 9 11 2. 2 7 6. 3 16 3. 7 12 7. 6 suppl. 14 4. 11 suppl. 12 8. 1 3 1. Find the sum of the interior angles of a 15-sided polygon. 2. Find the sum of the exterior angles of a 36-sided polygon. 3. What is the measure of one exterior angle of a regular pentagon? 4. What is the measure of one interior angle of a regular decagon? 5. How many sides does a regular polygon have if each exterior angle is 90? 6. What is the measure of each central angle of a regular octagon? 7. The measure of one interior angle of a regular polygon is 140°. How many sides does the polygon have? 1. If x and 2x – 15 represent the measures of two acute angles of a right triangle, find x and the measure of the angles. 2. Find the measures of 1, 2, 3, and 4. 45 1 3 2 125 3. Draw a right isosceles triangle. 4. Draw an obtuse scalene triangle. 5. Draw an acute equilateral triangle. 6. Draw an equiangular triangle. 15 4 m1 3x 20, 1. m2 2 x 15 2. ABCDE is regular A 4 1 67° 2 3 B 5 E 1 2 D 3. 5 6 3 1 2 40° 4 23° C 3 F 1. Given: a∥ b, 1 2 Prove: 3 4 1 a 2 3 4 b 2. Given: 2 ≅ 5; BE bisects CBD Prove: AC DE A B 1 D 2 4 C 3 5 E 3. Given: k||n; Prove: 1 is supplementary to4 k 1 3 2 n 4 t