Geometry Worksheet Name: ________________ Hodge-Podge over Constructions and Section 1.6 Period: _____ NOTE: This worksheet is WONDERFUL practice for part of TEST 1.2. I’d make sure you understand EVERY problem. HINT, HINT, HINT! I. Simplify. NO DECIMAL ANSWERS! 1. 196 2. −5 52 4. 2 324 5. ( −6 3 ) II. 2 3. (4 7 ) 6. 10 252 2 Use the segments given to complete the requested constructions. a b 7. Construct a segment with length 2b + c . 9. Construct a segment with length 5 c. 2 c 8. Construct a segment with length 3b − c . 10. Construct a segment with length 1 3c − b . 2 II. Use the angles given to complete the requested constructions. x y 11. Construct an angle with the measure x+ z. 13. Construct an angle with the measure III. SHOW YOUR WORK. 15. Find the coordinates of the midpoint segment AB . SHOW YOUR WORK. z 1 x. 2 12. Construct an angle with the measure y− 2z . 14. Construct an angle with the measure 180 − y . M of 16. E is the midpoint of segment DF . Given points D and E , find the coordinates for point A ( 6, −8 ) and B ( 9,18) M ________, _________ D ( −8, −7 ) and E ( −16,10 ) F. F ________, _________ IV. 17. Find the distance CD . USE THE DISTANCE FORMULA. Give answer in simplest radical form. C (1,5 ) and D ( 5, −3) CD = _______________ V. STEP-IT-UP A NOTCH. 18. Find the perimeter of ∆ABC to the nearest tenth. You may use the distance formula or the Pythagorean Theorem, but SHOW YOUR WORK. AB = __________ CB = __________ AC = __________ Perimeter = _______________ 19. Find the length of each segment to determine whether or not AB ≅ CD . C is the midpoint of AB . Point A has the coordinates ( −6,8 ) and point B has the 20. coordinates ( −6, −6 ) . Find the distance from C to B . READ CAREFULLY! AB = ___________ CD = ___________ Is AB ≅ CD ? Why or why not? CB = __________
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