Page 25 # 13

1. Page 25 # 13 A (1, 1), B (1, 4), C (6,4), D (6, 1) B C ● ● Midpoint = ( 1 + 6, 1 + 4) 22 • Midpoint = ( 7, 5) 22 ● ● A D Midpoint = ( 3 ½, 2 ½ ) 13) ACand BD, ( 3 ½, 2 ½ ), YES Midpoint = (1 + 6 , 4 + 1) 2 2 Midpoint = (7 , 5) 2 2 Midpoint = ( 3 ½, 2 ½ )

2. Page 25 # 14 A (−1, −2), B (−2, 2), C (2,2), D (3, −2) Midpoint = (− 1 + 2 , −2 + 2) 22 B C ● ● Midpoint = ( 1, 0) 22 • ● ● 14) ACand BD, ( ½, 0 ) , YES A D Midpoint = (− 1 + 2 , −2 + 2) 2 2 Midpoint = ( 1 , 0 ) 2 2

3. Page 25 # 15 A (−1, −1), B (1, 2), C (3, −1),D (1, −4) Midpoint = (− 1 + 3 , −1 −1 ) 22 B ● Midpoint = ( 1 , −1) • ● ● A C 15) AC and BD, ( 1, − 1 ) , YES ● D Midpoint = (− 1 + 3 , 2 −4 ) 2 2 Midpoint = ( 1 , −1)

4. Page 25 # 16 A (1, 1), B (1, 4), C (3, 4), D (5, 1) C B ● ● Midpoint = ( 1 + 3, 1 + 4) 22 ● ● Midpoint = ( 2 , 5) 2 ● ● A D Midpoint = ( 2 , 2 ½ ) 16) AC(2, 2 ½) , BD (3, 2 ½), NO Midpoint = (1 + 5 , 1 + 4) 2 2 Midpoint = ( 3 , 5) 2 Midpoint = ( 3 , 2 ½ )

5. Page 25 # 17 - 20 R S T ● ● ● 6 17) SR has a length of 6. What is the length of RT ? 18 18) RT has a length of 9. What is the length of ST ? ¾ 19) ST has a length of 3/2. What is the length of RT ? 20) Let Q be the midpoint of SR. QR has a length of 3. What is the length of ST? 12

6. Page 33 # 1, 2 For the following: A (1, 2), B (4, 4), C (3,−1), D (−3, −5) B Find the slopes of AB, AC and DC. ● A AB: 2/3, AC: −3/2, DC : 2/3 ● 2) AB and DC are ∕∕ AC and AB; AC and DC are perpendicular ● C ● D

7. Page 33 # 19- 22 ● A (1, 5) ● ● ● B (4, 2) ● ● Decide if C is collinear with A , B 19) C (3, 3) collinear not collinear 20) C (2, 3) collinear 21) C (− 1, 7) 22) C (5, 1) collinear

8. Page 39 # 3 Find the perimeters: A A = 2 (2) + 2 (8) = 20 B C B = 2 (4) + 2 (4) = 16 C = 2 (4) + 2 (5) = 18 E D = (4) + (4) + 4 √ 2 D 4 √ 2 E = 2 (6) + 2 (5) = 22 F = 3 π + 6 F

9. Page 39 # 4 Find the areas: A A = 2 x 8 = 20 B C B = 4 x 4 = 16 C = 4 + 5 = 20 E D = ½ 4 x 4 = 8 D 4 √ 2 E = 6 x 5 = 30 F = ½π r 2 = 9/2 π F

10. Page 39 # 5 Find the perimeter and area of entire shaded figure A P = 14 + 4 + 7 + 7 + 4 √ 2 + 3 π B C P = 32 + 4 √ 2 + 3 π A = 16 + 16 + 70 + 8 + 30 + 9/2 π = 90 + 9/2 π E D 4 √ 2 F

11. • Page 41 # 1 (1,5) Sketch the graph of y = 3x +2 • (0,2)

12. Page 41 # 3 Sketch the graph of y = 1x─5 3 • (1, ─4) • (0, ─5)

13. Page 41 # 5 Sketch the graph of y = x ─2 • (1, ─1) (0, ─2) •

14. Page 41 # 7, 9 7) m = 3, (0, 1 ) 2 y = mx + x-intercept 1 = 3(0) + 1 2 2 y = 3 x + 1 2 9) m = ─5, (0, ─1 ) y = ─5 x ─1 11) m = 4, (0, ─3) 2 y = 4x ─3 2

15. Page 41 # 13, 15,17,19 A (1, 2), B (3, ─4), C (3, 2), D (5, ─ 4) E (0, 0) A C ● ● E ● Find the length of AC 15) Find the area of triangle ABC 17) Find the slope of AD 19) Is CD parallel to AB? 2 • ● D B 6 2/3 YES

16. Name all the angles; Name 4 collinear points: ____ ____ ____ ____ _____ _____ _____ ____ _____ ____ ____ _____ _____ _____ _____ ____ ____ ____ ____ 2) If point C is midpoint of AE, Name 2 equal segments A B ● ● ____ ____ C Name the different triangles that appear in the diagram: ● D ● ____ ____ ____ ____ ____ ● E Name each angle that has C as a vertex ____ ____ ____ ____ Name an angle that is not an angle of a triangle ● G ____ ● 6) Name 2 pairs of opposite rays F ____ ____ 7) Name a segment that is a side of 2 different triangles: ____

17. Name all the angles; Name 4 collinear points: GAB GAC CAB ABC ABD CBD ACB ACG BCD BDE BDC CDF DEF DFE DFE A C D E 2) If point C is midpoint of AE, Name 2 equal segments A B ● ● AD CE C Name the different triangles that appear in the diagram: ● D ● ABC AGB AGC CBD DEF ABD ● E Name each angle that has C as a vertex ACB BCD ACG GCD Name an angle that is not an angle of a triangle ● G BDE ● 6) Name 2 pairs of opposite rays F AC CD or CE 7) Name a segment that is a side of 2 different triangles: AC CB AB AG