Unit_2_Answer_Key (2).pdf - Answer Key \u2014 Unit 2 1 The triangles are congruent because they have three congruent sides 2 One possibility is(2 0 and(8 4

# Unit_2_Answer_Key (2).pdf - Answer Key u2014 Unit 2 1 The...

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Answer Key — Unit 2 1. The triangles are congruent because they have three congruent sides. 2. One possibility is (2 , 0) and (8 , 4) 3. AC = 40, AB = 20, CB = 20; ( 20) 2 + ( 20) 2 = ( 40) 2 right angle is B 4. The two legs are 24 - 12 2 and the hypotenuse is 24 2 - 24 5. No E-W line because the three lengths do not satisfy the Pythagorean Theorem. 6. 90 2 feet 7. short leg= 18 3+ 5 = 9(3 - 5) 2 ; long leg= 18(3 - 5) 2 = 9(3 - 5); hypotenuse= 27 5 - 45 8. 28 3+ 5 5 . 348 , 56 3+ 5 10 . 695 , 11 . 957 9. x = 66 or x = 30 10. 24 , 12 , 12 3 11. h = 12 12. Two possible points are (1 , - 4) or ( - 5 , 6). Anything along the line y - 1 = - 5 3 ( x +2) will work. 13. Two possible points P are ( - 2 , 3) or (4 , 7) 14. Any point on the line y - 5 = 2 3 ( x - 1) 15. Two possible points C are (5 , 0) or ( - 1 , 10). Any point on the line y - 5 = - 5 3 ( x - 2) 16. There are two points P that would make APB a right angle. (9 , 0) and (16 , 0) 17. a) 12 b) y = 1 3 x c) y = - 3 x + 24 d) ( 72 10 , 24 10 )
e) length= 24 10 10 f) BC = 4 10, so 1 2 (4 10) * ( 24 10 10 ) = 48 This is the area- that you can also find by calculating 1 2 (8) * (12).
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