Geometry - Chapter 6 Test Review

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Geometry - Chapter 6 Test Review

1. Find BD.

3. Find BC.

a. BD = 23 b. BD = 4 c. BD = 8 d. BD = 19 2. Find AB.

a. AB = 3 b. AB = 9 c. AB = 18 d. AB = 15

a. BC = 36 b. BC = 2 c. BC = ?1 d. BC = 1 4. Find mBAD.

a. mBAD = 7.5? b. mBAD = 30? c. mBAD = 75? d. mBAD = 15?

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Geometry - Chp 6 Test Review

5. In the diagram, AD bisects BAC. Find BD .

a. BD = 30 b. BD = 60 c. BD = 18 d. BD = 4 6. Find mCAD.

a. mCAD = 5? b. mCAD = 32? c. mCAD = 47? d. mCAD = 64?

7. Write an equation of the perpendicular bisector of the segment with endpoints G???7, 1 ^?~ and H???9, -7 ^?~.

a.

y=

1 4

x

-

5

b. y = - 1 x - 1 4

c. y = 1 x + 17 44

d. y = - 1 x + 15 44

8. Find the coordinates of the circumcenter of ABC with vertices A ???6, -3 ^?~, B ???-7, 4 ^?~, and

C???-1, 4 ^?~. a. ???-4, -6 ^?~ b. ???-0.5, 0.5 ^?~ c. ???-4, -2.1 ^?~ d. ???2.5, 0.5 ^?~

9. Find the coordinates of the circumcenter of ABC with vertices A ???1, 8 ^?~, B ???-3, 3 ^?~, and

C???5, 3 ^?~. a. ???3, 5.5 ^?~ b. ???1, 3.9 ^?~ c. ???1, 10.1 ^?~ d. ???-1, 5.5 ^?~

10. Find the coordinates of the circumcenter of ABC with vertices A ???-3, 1 ^?~, B ???5, -2 ^?~, and

C???-3, -2 ^?~. a. ???-3, -0.5 ^?~ b. ???-0.3, -1 ^?~ c. ???1, -2 ^?~ d. ???1, -0.5 ^?~

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Geometry - Chp 6 Test Review

11. In ABC, N is the incenter, ND = 5x + 2, and NE = 4x + 6. Find NF.

13. In LMN, point P is the centroid, and AN = 45. Find AP and NP.

a. NF = 18 b. NF = 22 c. NF = 4 d. NF = 44

12. In LMN, point P is the centroid, and AP = 7. Find NP and AN.

a. AP = 7.5, NP. = 37.5 b. AP = 22.5, NP. = 22.5 c. AP = 15, NP. = 30 d. AP = 11.25, NP. = 33.75

14. In LMN, point P is the centroid, and NP = 18. Find AP and AN .

a. NP = 21, AN = 28 b. NP = 3.5, AN = 10.5 c. NP = 7, AN = 14 d. NP = 14, AN = 21

a. AP = 18, AN = 36 b. AP = 9, AN = 27 c. AP = 9, AN = 9 d. AP = 6, AN = 12

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Geometry - Chp 6 Test Review

15. The Park and Recreation department wants to add some sidewalks to the park. The fountain F is located at the park's centroid and is 147 feet from entrance B. How many feet of sidewalk are needed to connect the fountain to the snack cart?

17. You install fencing around your large triangular garden. Then, you divide it into four small triangular gardens by connecting the midpoints of each side of the triangle with fencing. How many feet of fencing do you need?

a. 588 ft b. 441 ft c. 294 ft d. 147 ft

16. A company builds trusses to support structures. In

the truss shown below, the support GH is the midsegment of ABC. Find the value of x.

a. 215 ft b. 140 ft c. 210 ft d. 280 ft

18. List the sides of ABC from shortest to longest.

a. 6.7 ft b. 20 ft c. 10 ft d. 8 ft

a. CB, AC, AB b. AB, AC, CB c. AB, CB, AC d. CB, AB, AC

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Geometry - Chp 6 Test Review 19. List the sides of ABC from shortest to longest.

22. Complete the statement m1___m2 with , or =.

a. CB, AB, AC b. AB, CB, AC c. AB, AC, CB d. CB, AC, AB

20. List the sides of ABC from shortest to longest.

a. = b. > c. <

23. Complete the statement AC___XY with , or =.

a. AC, CB, AB b. AC, AB, CB c. CB, AC, AB d. CB, AB, AC

21. Complete the statement m1___m2 with , or =.

a. = b. > c. <

a. > b. < c. =

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