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# 1.3 - EXERCISES 1.3 page 29 1 The coordinates of A are(3,3...

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EXERCISES 1.3, page 29 1. The coordinates of A are (3,3) and it is located in Quadrant I. 2. The coordinates of B are (-5,2) and it is located in Quadrant II. 3. The coordinates of C are (2,-2) and it is located in Quadrant IV. 4. The coordinates of D are (-2,5) and it is located in Quadrant II. 5. The coordinates of E are (-4,-6) and it is located in Quadrant III. 6. The coordinates of F are (8,-2) and it is located in Quadrant IV. 7. A 8. (-5,4) 9. E, F, and G. 10. E 11. F 12. D For Exercises 13-20, refer to the following figure. 21. Using the distance formula, we find that () 41 73 3 4 2 5 5 22 2 2 −+− = += = . 22. Using the distance formula, we find that 40 2 2 2 = . 23. Using the distance formula, we find that (( ) )( ) 4 1 9 3 5 6 25 36 61 2 2 −− + = + = + = . 24. Using the distance formula, we find that 1 Preliminaries 22

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(( ) ) () 10 2 6 1 12 5 144 25 169 22 2 2 −− + − = + = + = = 13. 25. The coordinates of the points have the form ( x ,– 6). Since the points are 10 units away from the origin, we have ( x 0) 2 + (–6 – 0) 2 = 10 2 x 2 = 64, or x = ±8. Therefore, the required points are (– 8,–6) and (8,–6). 26. The coordinates of the points have the form (3, y ). Since the points are 5 units away from the origin, we have (3 – 0) 2 + ( y 0) 2 = 5 2 , y 2 = 16, or x = ±4. Therefore, the required points are (3,4) and (3,–4). 27. The points are shown in the diagram that follows. To show that the four sides are equal, we compute the following: dAB (,) ( ) ( ) ( ) =− − +− =− += 33 74 6 3 4 5 222 2 dBC [ ( ] ( ) ( ) ( ) −+− =−+ −= 63 1 7 3 6 4 22 2 2 5 dCD (, ) [ ] [ ( ) ] () ( ) −+ + 06 2 1 6 3 4 2 2 5 dAD ( , ) ( )( ) ( )() = +−− = +− = 03 24 3 6 4 5 2 2 .
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1.3 - EXERCISES 1.3 page 29 1 The coordinates of A are(3,3...

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