A-Geometry Ch 6 Review Prize Show 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 1. True or False? a.) Two lines must either intersect or be parallel. b.) Two lines to the same line are parallel. c.) In a plane, two lines to the same line are parallel. False False True 2. True or False? a.) If a line is to a plane, it is to every line in the plane. b.) The intersection of 2 planes always forms a line. c.) If a line is to a line in a plane, the line is to the plane. False True False 3. True or False? a.) Two lines to the same line are parallel. b.) A line that is to a horizontal line is vertical. c.) Three parallel lines must be coplanar. False False False 4. True or False? a.) A line can be drawn to each of 2 intersecting planes. b.) Any 3 points are always coplanar. c.) Lines that do not intersect are parallel. False True False 5. True or False? a.) If planes a and b are both parallel to line m, then a b. b.) If planes a and b are both to line m, then a False True b. c.) If a plane intersects two parallel planes, the lines of intersection are parallel. True 6. Always, sometimes or never? a.) As the # of sides of a regular Never polygon increases, the sum of the exterior 's increases. b.) As the # of sides of a regular polygon increases, the measure of an interior increases. Always 7. Always, sometimes or never? a.) A convex polygon has an interior > 180. b.) An equiangular polygon is equilateral. c.) An equilateral polygon is equiangular. d.) A regular polygon is equilateral & equiangular. Never Sometimes Sometimes Always 8. Solve for x. 80° x° 130 9. Given: D is midpoint of AC ; E is midpoint of BC ; C 2 130; 4 4 40 D Find: The measures of: 1, 3, 6, 6 A 3 5 2 1 1 50, 3 50, 5 90, 6 90 6 E B 10. Given: a b; c 1 75; 2 105 Solve for x. d; 1 c 2 x d a b x 30 11. a.) If the sum of the angles of a polygon = 2360, how many sides does the polygon have? Impossible, Polygon does not exist. b.) If a regular polygon has an interior of 157.5, how many sides does the 16 polygon have? 12. a. How many diagonals can be drawn from one vertex of an 18-gon? n - 3 18- 3 15 12. b. How many diagonals exist in an 18-gon? n n 3 18 18 3 135 2 2