Chapter Cumulative Review - Ms. Pytel · 2018-09-11 · Title: Microsoft Word - Cumulative Review...
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Geometry Copyright © Big Ideas Learning, LLC Resources by Chapter All rights reserved. 256 Chapter 7 Cumulative Review Name _________________________________________________________ Date _________ In Exercises 1–8, solve the equation. Show ALL work. 1. ( ) 6 2 18 x − = 2. ( ) 4 7 36 x − + = 3. ( ) 98 63 x − = − 4. ( ) 52 30 x + = − 5. ( ) 3 10 16 20 x − + = − 6. ( ) 68 11 1 x − + = − 7. ( ) ( ) 4 11 2 9 44 x x + + + = 8. ( ) ( ) 3 10 8 1 11 x x − + + = In Exercises 9–14, classify the polygon. 9. 10. 11. 12. 13. 14.
Transcript of Chapter Cumulative Review - Ms. Pytel · 2018-09-11 · Title: Microsoft Word - Cumulative Review...
Geometry Copyright © Big Ideas Learning, LLC Resources by Chapter All rights reserved. 256
Chapter
7
Cumulative Review
Name _________________________________________________________ Date _________
In Exercises 1–8, solve the equation. Show ALL work.
1. ( )6 2 18x − = 2. ( )4 7 36x− + =
3. ( )9 8 63x− = − 4. ( )5 2 30x+ = −
5. ( )3 10 16 20x − + = − 6. ( )6 8 11 1x− + = −
7. ( ) ( )4 11 2 9 44x x+ + + = 8. ( ) ( )3 10 8 1 11x x− + + =
In Exercises 9–14, classify the polygon.
9. 10. 11.
12. 13. 14.
Copyright © Big Ideas Learning, LLC Geometry All rights reserved. Resources by Chapter
257
15. The equation for the perimeter of a square can be expressed as ( )4 2 44.x + =
a. What is the value of x?
b. What is the side length of the square?
16. The length of a rectangle is 3 4x + and the width is 2 7.x +
a. Write an equation for the perimeter P of the rectangle.
b. The perimeter of the rectangle is 62 feet. What is the value of x?
c. What are the length and width of the rectangle?
In Exercises 25–30, tell whether the figure to the right is a translation, reflection, rotation, or dilation of the figure to the left. 17. 18.
19. 20.
21. 22.
In Exercises 23-25, use the translation ( ) ( )x y x y, 2, 5 .→ + −
23. What is the image of ( )3, 7 ?A −
24. What is the image of ( )9, 8 ?B
25. What is the image of ( )4, 6 ?C −
Geometry Copyright © Big Ideas Learning, LLC Resources by Chapter All rights reserved. 258
In Exercises 26-29, use the translation ( ) ( )x y x y, 4, 3 .→ − +
26. What is the image of ( )8, 3 ?A −
27. What is the image of ( )12, 1 ?B − −
28. What is the preimage of ( )2, 8 ?C′ −
29. What is the preimage of ( )3, 8 ?D′
In Exercises 30–41, find the measure of the exterior angle.
30. 31.
32. 33.
In Exercises 34 and 35, find the values of x and y.
34. EFG JKL≅! ! 35. VWX QRS≅! !
36. A right triangle has interior angles of ( )6 and 4 10 .x x° + °
a. What is the value of x?
b. What is the measure of the 6 angle?x°
c. What is the measure of the ( )4 10 angle?x + °
Copyright © Big Ideas Learning, LLC Geometry All rights reserved. Resources by Chapter
259
37. A right triangle has interior angles of ( ) ( )4 1 and 19 3 .x x+ ° − °
a. What is the value of x?
b. What is the measure of the ( )4 1 angle?x + °
c. What is the measure of the ( )19 3 angle?x − °
In Exercises 38–45, name the included angle between the pair of sides given.
38. GD and GF 39. EF and GF 40. GD and FD 41. FE and ED
42. ED and FD 43. DF and EF 44. ED and GD 45. GF and DF
In Exercises 46–49, find the indicated measure. Explain your reasoning.
46. SV 47. GH
48. KL 49. AD
50. A line segment AC is bisected by point B. The length of AB is 8 12x + and the length of BC is 6 18.x +
a. What is the value of x?
b. What is the length of ?AB
c. What is the length of ?AC
