ssrs barcode font Answers to Supplementary Problems in Objective-C

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1. (a) Ornament, jewelry, ring, wedding ring; (b) vehicle, automobile, commercial automobile, taxi; (c) polygon, quadrilateral, parallelogram, rhombus; (d) angle, obtuse angle, obtuse triangle, isosceles obtuse triangle 2. (a) A regular polygon is an equilateral and an equiangular polygon. (b) An isosceles triangle is a triangle having at least two congruent sides.
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Answers to Supplementary Problems
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(c) A pentagon is a polygon having five sides. (d) A rectangle is a parallelogram having one right angle. (e) An inscribed angle is an angle formed by two chords and having its vertex on the circumference of the circle. ( f ) A parallelogram is a quadrilateral whose opposite sides are parallel. (g) An obtuse angle is an angle larger than a right angle and less than a straight angle. 3. (a) x 2 4; (b) 3y 15; (c) she does not love you; (d) his mark was not more than 65; (e) Joe is not heavier than Dick; ( f ) a b c 4. (a) A nonsquare does not have congruent diagonals. False (for example, when applied to a rectangle or a regular pentagon). (b) A non-equiangular triangle is not equilateral. True. (c) A person who is not a bachelor is a married person. This inverse is false when applied to an unmarried female. (d) A number that is not zero is a positive number. This inverse is false when applied to negative numbers. 5. (a) (b) (c) (d) Converse true, inverse true, contrapositive true Converse false, inverse false, contrapositive true Converse true, inverse true, contrapositive true Converse false, inverse false, contrapositive true
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6. (a) Partial converses: interchange (2) and (3) or (1) and (3) Partial inverses: negate (1) and (3) or (2) and (3) (b) Partial converses: interchange (1) and (4) or (2) and (4) or (3) and (4) Partial inverses: negate (1) and (4) or (2) and (4) or (3) and (4) 7. (a) Necessary and sufficient; (b) necessary but not sufficient; (c) neither necessary nor sufficient; (d) sufficient but not necessary; (e) necessary and sufficient; ( f ) sufficient but not necessary; (g) necessary but not sufficient
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1 1 1. (a) 6(72) or 294 yd2; (b) 2(8)(62) 2(8)(14) 2(62)(14) or 510 ft2; 1 (c) 4(3.14)302 or 11,304 m2; (d) (3.14)(10)(10 42) or 911 yd2
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2. (a) 363 or 46,656 in3; (b) 1003 or 1,000,000 cm3 3. (a) 27 in3; (b) 91 in3; (c) 422 in3; (d) 47 in3; (e) 2744 in3 4. (a) 3(82)(8) or 204 in3; (b) 2(9)(9) or 162 ft3; (c) 2(6)(6.4) or 13 ft3 5. (a) 904 m3; (b) 1130 ft3; (c) 18 ft3 6. (a) V 7. (a) 6e3
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1. (a) A (9, 2), B (2, 4), and C9(5, 7); (b) A ( 4, 2), B (3, 4), and C (0, 7); (c) A ( 5, 1), B (2, 1), and C ( 1, 4); (d) A ( 2, 14), B ( 4, 7), and C ( 7, 10); (e) A (12, 4), B ( 2, 8), and C (4, 14); (f) A ( 14, 6), B (7, 12), and C ( 2, 21); (g) A (0, 1), B ( 2, 6), and C ( 5, 3) 2. (a) A (6, 1), B (7, 2), and C (8, 1); (b) A (1, 5), B (2, 2), and C (3, 5); (c) A ( 2, 1), B ( 1, 4), and C (0, 1)
Answers to Supplementary Problems
3. (a) translation to the right 5 spaces, P(x, y) A P (x 5, y); (b) translation down 5 spaces and to the right 3, P(x, y) A P (x 3, y 5); (c) translation down 3 spaces and to the left 5, P(x, y) A P (x 5, y 3) 4. (a) P(x, y) A P (x, y 5); (b) P(x, y) A P (x 6, y); (c) P(x, y) A P (x 7, y (d) P(x, y) A P (x 8, y 2); (e) P(x, y) A P (x 1, y 4) 3);
5. (a) A ( 1, 3), B ( 5, 3), C ( 4, 1), and D ( 2, 1); (b) A0(1, 5), B0 (5, 5), C0(4, 3), and D0(2, 3); (c) A-(15, 3), B-(11, 3), C-(12, 1), and D-(14, 1) 6. (a) reflection across the line x 2, P(x, y) A P (4 x, y); (b) reflection across y P(x, y) A P0(x, 6 y); (c) reflection across x 5, P(x, y) A P-( 10 x, y) 7. (a) P(x, y) A P (x, 10 y); (b) P(x, y) A P ( 4 x, y); (c) P(x, y) A P (x, 2 y); (d) P(x, y) A P (5 x, y) 8. (a), (b), (e), and ( f ) 9. (a) A (2, 1), B (2, 4), C (1, 5), and D (1, 2); (b) A0( 1, 2), B0( 4, D0( 2, 1); (c) A-( 2, 1), B-( 2, 4), C-( 1, 5), and D-( 1, 2) 2), C0( 5, 1), and 3,
10. (a) 180 rotation about the origin, P(x, y) A P ( x, y); (b) 90 clockwise rotation about the origin, P(x, y) A P0(y, x); (c) 270 clockwise rotation about the origin (or 90 counter-clockwise), P(x, y) A P-( x, y) 11. (a) P(x, y) A P (x cos 40 (b) P(x, y) A P (x cos 50 (c) P(x, y) A P (x cos 80 y sin 40 , y cos 40 x sin 40 ) P (0.766x 0.6428y, 0.766y 0.6428x); y sin 50 , y cos 50 x sin 50 ) P (0.6428x 0.766y, 0.6428y 0.766x); y sin 80 , y cos 80 x sin 80 ) P (0.1736x 0.9848y, 0.1736y 0.9848x)
12. (a) 120 ; (b) 60 ; (c) 72 ; (d) 360 (no rotational symmetry); (e) 90 ; ( f ) 180 13. (a) A (4, 5), B (5, 4), and C (5, 7); (b) A0(2, 5), B0(3, 6), and C0(0, 6); (c) A-( 1, 2), B-( 2, 3), and C-(1, 3); (d) A00( 4, 3), B00( 5, 4), and C00( 5, 1) 14. (a) R(x, y) A R0(x 6, y 1); (b) R(x, y) A R0(1 x, y 2); (c) R(x, y) A R0(y (d) R(x, y) A R0( y, 4 x); (e) R(x, y) A R0(6 x, 3 y) 3, x 6);
15. (a) reflect across the y axis and then move down 2 and to the right 3 spaces, P(x, y) A P ( x 3, y 2); (b) rotate about the origin counterclockwise 90 , then move to the left 1 space, P(x, y) A P0( y 1, x); (c) rotate around the origin 90 clockwise, then reflect across the x axis, then move down and to the right 1 space, P(x, y) A P-(y 1, x 1) 16. (a) P(x, y) A P (x, y 3); (b) P(x, y) A P (y 2, x); (c) P(x, y) A P ( x, y 4); (d) P(x, y) A P ( x, 4 y); (e) P(x, y) A P ( 7 x, y 3) 17. A ( 3, 6), B (3, 6), C (3, 3), and D ( 3, 3)
1 18. (a) P(x, y) A P (2x, 2y); (b) P(x, y) A P (8x, 8y); (c) P(x, y) A P (3 x, 1 x) 3
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