1. Analytic Geometry
EOCT Review

2. Proofs Which item can be given as a statement in a proof?
A. Given B. Def. of congruent segments C. m<1 + m< 2= 180
D. Trans. Prop. of Equality

3. Proofs Identify the property that justifies the statement.
m = n, so n = m
KL = KL
p = q and q = -1, so p = -1

4. Proofs Algebraic Proof
Solve the equation below. Write a justification for each step.
1/5(a + 10) = -3

5. Parallelograms Properties of Parallelograms
- Opposite sides are parallel and congruent
- Opposite angles are congruent
- Consecutive angles are supplementary
- Diagonals bisect each other

6. Parallelograms WXYZ is a parallelogram. Find the measure of angle W.
Find the value of x.

7. Parallelograms
In parallelogram JKLM, what is the value of <K?

8. Parallelograms
ABCD is a parallelogram. Find AB and BX.

9. Parallelograms
In parallelogram DEFG, what is EG?

10. Angles formed by Lines and Transversals
Corresponding Angles are congruent
Alternate Interior Angles are congruent
Alternate Exterior Angles are congruent
Same Side Interior Angles are supplementary

11. Angles formed by Lines and Transversals
Find each angle measure.

12. Angles formed by Lines and Transversals
Find x.

13. Congruence 5 Triangle Congruence Theorems Side-Side-Side
Side-Angle-Side
Angle-Angle-Side
Angle-Side-Angle
Hypotenuse Leg (right triangles only)
Angle-Side-Side is NOT a theorem

14. Congruence
If ΔKLM ≅ ΔRST, find the value of x.

15. Congruence
What is the measure of angle U?

16. Congruence
ΔJKL≅ ΔMNP. KL = 21x - 2, NP = 20x, LJ = 15x and PM = 13x Find LJ.

17. Congruence

18. Similarity 3 Triangle Similarity Theorems Side-Side-Side
Side-Angle-Side
Angle-Angle

19. Similarity
What theorem proves the triangles are similar?

20. Similarity
What theorem proves the triangles are similar?

21. Similarity
What is the length of AC?

22. Similarity
Find SP.

23. Similarity

24. Similarity

25. Similarity
A drawing of a garden uses a scale of 1 in : 3 ft. Find the length of the garden if the length on the drawing is 13 inches.

26. Exterior Angles Theorem
Find measure of <RST.

27. Midsegment Theorem
Find QR. What type of segment is QR?

28. Midsegment Theorem

29. Triangles
What is the length of the longest side of the triangle?

30. Angle relationships in Triangles
What is the value of x if the acute angles of a right triangle measure 8x° and 12x°?
The angles of a triangle measure 4°, 86°, and 90°. Which classification of the triangle is correct?
One angle of an equilateral triangle measures (4x - 20). What is the value of x?

31. Special Right Triangles
There are 2 types of special right triangles:
In a triangle, the legs have equal length and the hypotenuse is the length of one of the legs multiplied by √2.
In a triangle, the hypotenuse is the length of the shorter leg multiplied by 2, and the longer leg is the length of the shorter leg multiplied by √3.

32. Special Right Triangles
Find the value of x.

33. Special Right Triangles
Find the value of x.

34. Trigonometry
SOHCAHTOA
Sin = opp/hyp
Cos = adj/hyp
Tan = opp/adj

35. Trigonometry 1. Find tan K. 2. Find cos M. 3. Find sin K.
4. To the nearest degree, what is the measure of <M?

36. Trigonometry
A 24-foot ladder forms a 76° angle with the ground. The top of the ladder rests against a building. To the nearest inch, how high up the building does the ladder reach?
One acute angle of a right triangle measures 28°. To the nearest tenth, what is the length of the side opposite that angle if the hypotenuse measures 16 meters?
A skateboard ramp makes a 22° angle with the ground. To the nearest foot, how high is the ramp?

37. Trigonometry 1. Find sin (1.54).
2. If sin A = 8/17, find the measure of angle A.

38. Trigonometry Use the figure below to find each of the following:
1. m<A.
2. length of AB
3. m<B.

39. Lines that Intersect Circles
Use the figure below to find each of the following:
Chord
Secant
Tangent
Diameter
Radius

40. Lines that Intersect Circles
To the nearest tenth, what is the length of MN?

41. Central and Inscribed Angles
A central angle is EQUAL to the measure of its intercepted arc.
An inscribed angle is HALF the measure of its intercepted arc.
An angle inscribed in a semicircle is ALWAYS a right angle.
If two inscribed angles intercept the same arc, the angles are congruent.

42. Central and Inscribed Angles
Find the measure of arc JK. Then, find the measure of arc JIL.

43. Central and Inscribed Angles

44. Central and Inscribed Angles

45. Central and Inscribed Angles

46. Central and Inscribed Angles

47. Inscribed Quadrilaterals
Opposite angles in an inscribed quadrilateral are supplementary.

48. Arc Length Find the measures of arcs MN and XY.
Formula is not on the sheet

49. Sector Area Find the areas of sectors BAC and QPR.
Formula is not on the sheet

50. Spheres Volume and Surface Area formulas are on the sheet
Find the volume and surface area of the sphere.

51. Spheres
Find the surface area of a sphere with a volume of 256Π cm3

52. Volume All formulas are on the sheet
Find the volume of each figure below.

53. Volume
Find the volume of the cylinder.

54. Volume
Find the volume of each pyramid.

55. Volume
Find the volume of the cone.

56. Volume
Find the volume of the composite figures.