UNIT 3 Practice Test Name: Radius Diameter Chord Secant Line

Tangent Line Point of Tangency Major Arc Minor Arc Semi-Circle Central Angle Inscribed Angle Right Angle

Describe the following:

1. ∡푭푯푮 is a(n)

2. ∡푨푩푫 is a(n)

3. ∡푬푪푭 is a(n)

4. 푯푨푮 is a(n)

5. 푮푯푭 is a(n)

6. Point E

7. 푨푫 is a(n)

8. 푬푰⃖ ⃗ is a(n)

9. 푨푩⃖ ⃗ is a(n) 13. If ∡푬푪푮 = ퟏퟔퟎ° is find 풎푬푮=

10. 푭푮 is a(n) 14. If ∡푨푩푫 = ퟑퟖ° is find 풎푨푫=

11. 푫푩 is a(n) 15. If ∡푯푭푮 = ퟕퟎ° is find 풎푭푯=

12. 푭푪 is a(n) 16. Find 풎푭푯푮=

Converse of the Pythagorean Theorem . Which of the following are right triangles? (SHOW WORK) 17. 18. 19.

Wor

d W

all

8 10

16 4 13

65

Right Triangle? YES NO

(circle one) Right Triangle? YES NO

(circle one) Right Triangle? YES NO

(circle one)

8 12 63

3 2

20. Given that m 100 , 140 mDC mDA , find:

A. m AC D. Find m DCB B. m ABC E. Find m DAB C. m ADC

21. Given that mABC = 5x+20 and mCDA=4x−8, find the exact measure of mABC.

22. What would the length of 푩푪 have to be in order for 푩푪⃖ ⃗ to be tangent to circle with Center A (given AC = 45, AC =53)?

23. Given 풎푩푪 = ퟔퟎ°and 풎푫푬 = ퟏퟎퟎ°, determine

a. mDFE =

b. mBFD =

c. mDAE =

Use this diagram for problems #21.

Use this diagram for problems #20.

Use this diagram for problems #22.

Use this diagram for problems #23.

x = mABC =

AB =

24. Given 풎푩푪 = ퟏퟎퟎ°and 풎푫푬 = ퟓퟎ°,

a. Find the mBFC.

b. Find the mECD.

25. Given풎푫푨 = ퟏퟓퟎ°:

a. Find the mADF

b. Find the mADE

c. Find the m DKA

d. Find the m AKD

26. Given풎푫푪 = ퟏퟏퟎ°:

a. Find the 풎푫푬푪

b. Find the mDGC

c. Find mCGA =

27. Given 풎푱푴 = ퟏퟐퟎ° and 풎푳푴 = ퟓퟎ°

a. Find the m x m y

b. Find the mJML

c. Find the m x

d. Find the m y

Use this diagram for problems #25.

Use this diagram for problems #24.

Use this diagram for problems #27.

Use this diagram for problems #26.

28. Given that mHGK = 2x + 60 and mHJK=6x+40

a. Find the value of x.

b. Find the m HGK

c. Find the mHK

29. Find the Circumference 30. Find the Arc Length KJ 31. Find the Arc Length 푨푩푪 (assuming E is the center) (assuming F is the center) (assuming E is the center)

32. Find the sector area of 푨푩 34. Find the length of the radius 35. Find the sector area of 푨푩푪 (assuming E is the center) (assuming the area of 24 cm2) (assuming E is the center)

Use this diagram for problems #28.

Area = 24 cm2