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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