Unit VI -- Geo1 1. AD = 21 Worksheet 6 (post pg.429,433) 2. HY = 7 3. ∠ITE = 70º ANSWER KEY 4. D 5. x = 2 or x = −6 if x = 2 then m∠B = 32 and m∠C = 148 if x = −6 then m∠B = 112 and m∠C = 68 6. 1. AFCE is a parallelogram 2. AE ≅ FC 1. given 2. opposite sides of a parallelogram are congruent 3. AF ≅ EC 4. AEC = AFC 5. BEC is supp to AEC 6. DFA is supp to AFC 7. BEC ≅ DFA 8. DAF ≅ BCE 9. ADF ≅CBE 3. same as 2 4. opposite angles of a parallelogram are congruent 5. they form a linear pair 6. same as 4 7. supps of congruent angles are congruent 8. given 9. ASA (8, 3, 7) 10. AD ≅ BC 10.CPCTC 11. DF ≅ BE 11.CPCTC 12. AB ≅ DC 13.ABCD is a parallelogram 12.addition property (2, 11) 13.if both pairs of opposite sides of a quad are congruent, then the quad is a parallelogram (10, 12) 7. a. Always b. Sometimes (Yes: rectangle / No: plain parallelogram or rhombus) c. Never d. Always e. Sometimes (Yes: isos trap / No: rectangle) f. Always g. Sometimes (Yes: square / No: plain rhombus) h. Always i. Sometimes (Yes: isos / No: can have trap with two right angles that is not isos) j. Sometimes (Yes: square / No: plain rhombus) k. Sometimes (Yes: rhombus / No: plain parallelogram or a plain rectangle) l. Sometimes (Yes: rectangle / No: kite) m. Always n. Always o. Sometimes (Yes: square / No: plain rhombus) p. Sometimes!!! (Yes: square. All squares are rhombuses so if it’s a square it’s a rhombus No: Isos trap--there can be an isos trap with perpend diags... If the question had been about parallelograms, the answer would have been always...) q. Sometimes (Yes: square / No: isos trap) 8. mAB = −4 no pair of opposite sides are parallel ... 3 not a parallelogram or a trap mBC = −5 AB = 10 no sides are congruent ... 5 not a kite! mCD = BC = 234 3 mAD = undefined CD = 34 final answer: quadrilateral AD = 2 Worksheet 6 (post pg.429,433) Unit VI -- Geo1 5 3 9. mAB = mBC = − 3 5 5 3 mCD = mAD = − 3 5 1 mAC = −4 mBD = 4 ANSWER KEY both pairs of opposite sides parallel and consecutive sides are perpendicular ... at least a rectangle diagonals are perpendicular ... final answer: square 10. mAB = 0 mBC = −3 mCD = 0 mAD = 3 one pair of opposite sides are parallel and one pair of opposite sides are not parallel ... at least a trapezoid non-parallel sides of trap are congruent ... final answer: isos trap AD = 40 BC = 40 2 3 2 mCD = 3 mAD = 3 11. mAB = 3 mBC = both pairs of opposite sides parallel and consecutive sides are not perpendicular ... at least a parallelogram (not a rectangle) consecutive sides of the parallelogram are not congruent, so not a rhombus ... final answer: parallelogram AB = 10 BC = 13 1 12. mAB = mBC = 2 2 1 mCD = mAD = 2 2 both pairs of opposite sides parallel and consecutive sides are not perpendicular ... at least a parallelogram (not a rectangle) consecutive sides of the parallelogram are congruent ... final answer: rhombus AB = 20 BC = 20 3 4 −3 3 mCD = mAD = 4 4 13. mAB = undefined mBC = AB = 7 DC = 3 2 14. quad 19. quad 24. quad 15. kite 20. square 25. quad one pair of opposite sides are parallel and one pair of opposite sides are not parallel ... at least a trapezoid non-parallel sides of the trap are not congruent, so not an isos trap ... final answer: trapezoid 16. rectangle 21. rhombus 26. square 17. rhombus 22. rectangle 27. square 18. rhombus 23. isos trap
© Copyright 2024