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Transcript
Geometry Semester 2 Homework on Advanced Constructions Name: _______________________________ You will need a straight-edge, compass and protractor for these. Show all markings. 1. Construct an equilateral triangle with AB as one of its sides. Use only a straightedge and compass (do not use the protractor): A 2. B Construct triangle ABC with the given sides and included angle. Use a straightedge and compass only. B A B B C Page 1 of 6 3. Construct triangle EFG with the given angles and included side. Use a straightedge and compass only. E F E 4. F Construct triangle KLM with these sides: K K L M L M Page 2 of 6 5. Construct a triangle whose sides measure 5 cm, 7 cm and 8 cm. What is the measure of the smallest angle to the nearest degree? 6. Construct a triangle with two angles measuring 60o and 40o, and the included side measuring 6 cm. How long is the shortest side to the nearest tenth of a centimeter? 7. Construct a rectangle on AB with AD as one of its sides. Use a straightedge and compass only. A B Page 3 of 6 A D 8. When given two sides and an angle that is not included between the sides, there could be two different triangles, because SSA is not a theorem in geometry. Construct two different triangles ABC that have these sides and angle, using a straightedge and compass only. A B A C B B 9. Construct triangle DEF with the following side and angles. Use a straightedge and compass only. D E E F Page 4 of 6 10. The following segment is 3 cm long. Construct a segment that is straightedge and compass only. 11. Construct the circle that contains these three points: Page 5 of 6 3 cm long. Use a 12. Construct triangle ABC on the given side, so that angle A measures 45o and angle B measures 30o. Use straightedge and compass only. A B 13. Construct the line tangent to this circle at point P: P 14. Construct two lines tangent to this circle and containing point Q: Q Page 6 of 6