Lesson Warm Up 37 1. slope 2. y = x + 6 3. A Lesson Practice 37 ...
Lesson Warm Up 37
37
f. y = 2x + 4, y = 2.1x; yes; The lines are not parallel, so they will eventually intersect.
1. slope 1 x+6 2. y = _ 2
3. A Lesson Practice 37 2 , a. parallel: _ 5 5 perpendicular: - _ 2
b. They are perpendicular. c. perpendicular d. y = -2x;
4
y
2 O
-2
x 2
4
6
-2 -4
3 3 _ e. y = _ x + ; 4 2 4
y
2 -4
-2
O
x 2
4
-2 -4
© 2009 Saxon®, an imprint of HMH Supplemental Publishers Inc. All rights reserved.
LSN 37–1
Saxon Geometry
Lesson Practice 37
b. Any example of three lines in a plane, at least two of which are parallel, or where all three lines pass through the same point.
1. x = 48 mm; Yes, (14, 48, 50) form a Pythagorean triple. 2. 6.75 π miles. 3. yes
12. Leg-Leg Right Triangle Congruence Theorem
4. a = 3, b = 3 1 x+8 5. y = -_ 3
13.
6. Yes. The sum will always be 360° since there are 360° in a full rotation. 7. 0.45 meters 8. 65 cm2
Statements _ _ 1. AB _ DE _, BC EF 2. ∠B and ∠E are right angles 3. ∠B ∠E
Reasons 1. Given
4. ABC DEF
4. SAS Theorem
9. (-1, 2) 10. k = 2 and h = 3 11. a. hypothesis: a, b, and c are lines in a plane; conclusion: a, b, and c divide the plane into seven regions.
© 2009 Saxon®, an imprint of HMH Supplemental Publishers Inc. All rights reserved.
37
2. Definition of right triangle 3. All right angles are congruent.
14. Vertical Angles Theorem 15. Transitive Property of Congruence
LSN 37–2
Saxon Geometry
Lesson
37
4 x, 26. westbound: y = _ 3
16. The student forgot to find the opposite reciprocal of the slope. The slope should 13 be -_ . 12
3 x bridge: y = - _ 4
27. (-4, 6)
17. From the diagram, triangles ABC and DBC are right triangles and ∠ACB ∠DCB; _ _ also, BC BC ; by the Leg-Angle Congruence Theorem, ABC DBC.
28. Hypotenuse-Angle Congruence Theorem 2 :1, obtuse 29. √ 30. 24 cm2
18. GF = 2.3, GE = 4 19. B 20. 8.6° 21.
22. no - mBC 23. 360° - mAB
24. x = 46.5, y = 6 25. 147° © 2009 Saxon®, an imprint of HMH Supplemental Publishers Inc. All rights reserved.
LSN 37–3
Saxon Geometry
37
f. y = 2x + 4, y = 2.1x; yes; The lines are not parallel, so they will eventually intersect.
1. slope 1 x+6 2. y = _ 2
3. A Lesson Practice 37 2 , a. parallel: _ 5 5 perpendicular: - _ 2
b. They are perpendicular. c. perpendicular d. y = -2x;
4
y
2 O
-2
x 2
4
6
-2 -4
3 3 _ e. y = _ x + ; 4 2 4
y
2 -4
-2
O
x 2
4
-2 -4
© 2009 Saxon®, an imprint of HMH Supplemental Publishers Inc. All rights reserved.
LSN 37–1
Saxon Geometry
Lesson Practice 37
b. Any example of three lines in a plane, at least two of which are parallel, or where all three lines pass through the same point.
1. x = 48 mm; Yes, (14, 48, 50) form a Pythagorean triple. 2. 6.75 π miles. 3. yes
12. Leg-Leg Right Triangle Congruence Theorem
4. a = 3, b = 3 1 x+8 5. y = -_ 3
13.
6. Yes. The sum will always be 360° since there are 360° in a full rotation. 7. 0.45 meters 8. 65 cm2
Statements _ _ 1. AB _ DE _, BC EF 2. ∠B and ∠E are right angles 3. ∠B ∠E
Reasons 1. Given
4. ABC DEF
4. SAS Theorem
9. (-1, 2) 10. k = 2 and h = 3 11. a. hypothesis: a, b, and c are lines in a plane; conclusion: a, b, and c divide the plane into seven regions.
© 2009 Saxon®, an imprint of HMH Supplemental Publishers Inc. All rights reserved.
37
2. Definition of right triangle 3. All right angles are congruent.
14. Vertical Angles Theorem 15. Transitive Property of Congruence
LSN 37–2
Saxon Geometry
Lesson
37
4 x, 26. westbound: y = _ 3
16. The student forgot to find the opposite reciprocal of the slope. The slope should 13 be -_ . 12
3 x bridge: y = - _ 4
27. (-4, 6)
17. From the diagram, triangles ABC and DBC are right triangles and ∠ACB ∠DCB; _ _ also, BC BC ; by the Leg-Angle Congruence Theorem, ABC DBC.
28. Hypotenuse-Angle Congruence Theorem 2 :1, obtuse 29. √ 30. 24 cm2
18. GF = 2.3, GE = 4 19. B 20. 8.6° 21.
22. no - mBC 23. 360° - mAB
24. x = 46.5, y = 6 25. 147° © 2009 Saxon®, an imprint of HMH Supplemental Publishers Inc. All rights reserved.
LSN 37–3
Saxon Geometry
