Math 8 Review volume of shapes

1. Monday June 13th. TODAY’S TO DOs AGENDA Homework Check Warm-Up Quarterly Review Sharpen pencils Get a calculator Complete the Warm-Up DeltaMath #9 Quarterly Review due by 6/17 Study your Review Packet and charge your chromebook for tomorrow. Outcome: Students will review concepts from Quarter 4 to prepare for the District Assessment.

2. Name- ___________________________________ Quarter 4 Review Warm-Up • Which of the following statements is true about the values of the coordinate points in a figure when the figure is reflected over the y-axis? • Only the x-values remain the same. • Only the y-values remain the same. • Both the x- and y-values remain the same. • Both the x- and y-values change. 3. The rectangle F'G'H'I' is a dilation of the rectangle FGHI. Is the dilation a reduction or an enlargement? _________________ What is the scale factor of the dilation? _______________ 2. Rotate pentagon JKLMN 180° about the origin. Graph and label the new figure. What is the coordinate for N’? _______________________________

3. Answer Key • Which of the following statements is true about the values of the coordinate points in a figure when the figure is reflected over the y-axis? • Only the x-values remain the same. • Only the y-values remain the same. • Both the x- and y-values remain the same. • Both the x- and y-values change.

4. 2. Pentagon JKLMN is rotated 180° about the origin. Graph and label the new figure. What is the coordinate for N’? N’(4,3) L M N k J J (-3, -2) J’(3,2) K (-2, -3) K’ (2,3) L (-2,-5) L’(2,5) M (-4, -5) M’(4,5) N (-4,-3) N’(4,3)

5. 3. The rectangle F'G'H'I' is a dilation of the rectangle FGHI. Is the dilation a reduction or an enlargement? Enlargement What is the scale factor of the dilation? 2

6. QUARTER 4 REVIEW

7. If you forgot how to do it click on the title in blue. It has a reminder video for you to watch.

8. Vocabulary:

10. V=4/3πr3 V = 4/3π193 V = 9145π in3

11. V=4/3πr3 V = 4/3π63 V = 288π in3 V=4/3πr3 V = 4/3π193 V = 9145π in3

13. Formula: V = 1/3πr2h V =1/3π3212 V= 1/3π9(12) V=1/3π108 V=36π

14. Formula: V = 1/3πr2h V =1/3π3212 V= 1/3π9(12) V=1/3π108 V=36π Formula: V = 1/3πr2h V =1/3π426 V= 1/3π16(6) V=1/3π96 V=32π

16. V = πr2h 502.4= πr2•10 10π 10π √16= √r2 4=r

17. V = πr2h 502.4= πr2•10 10π 10π √16= √r2 4=r V = πr2h 75= πr2•6 6π 6π √4= √r2 2=r

18. V=36

19. Enlargement 12 times what number to get to 15. k=1.25 or 5/4

20. Enlargement 12 times what number to get to 15. k=1.25 36=4x 4 4 X = 9 minutes

23. Right 11 units and up 2 units (x+11, y +2)

25. a2+b2 = c2 402+802 =c2 1600 + 6400= c2 √8000=√c2 89.4 m=c side 1+side 2+ side 3=Perimeter 40+80+89.4= 209.4 meters

27. a2+b2+ c2 = d2 82+242 + 62 = d2 64+576+36=d2 √676=√d2 26= d

28. a2+b2+ c2 = d2 72+122 + 52 = d2 49+144+25=d2 √218=√d2 14.7= d a2+b2+ c2 = d2 82+242 + 62 = d2 64+576+36=d2 √676=√d2 26= d a2+b2+ c2 = d2 82+242 + 62 = d2 64+576+36=d2 √676=√d2 26= d

30. a2+b2= c2 82+102 = c2 64+100=c2 √164=√c2 12.8= c

31. a2+b2= c2 122+52 = c2 144+25=c2 √169=√c2 13= c a2+b2= c2 82+102 = c2 64+100=c2 √164=√c2 12.8= c

33. 9 12 15 20 3 - 4 - 5 6 - 8 - 10 9 - 12 - 15 12 - 16 - 20 15 - 20 - 25 3 - 4 - 5 6 - 8 - 10 9 - 12 - 15

34. a2+b2= 152 a2+b2 = 152 a+b=152 a2+b2= 252 a2+b2 = 252 a+b=252

35. a2+b2= 252 a2+b2 = 252 a+b=252 a2+b2= 152 a2+b2 = 152 a+b=152