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GEOMETRY EOY Practice

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**1. **GEOMETRY EOY Practice Practice Questions are in black. Answers are in BOLD RED

**2. **Elaina can address 9 envelopes in 15 minutes. Jen can address 13 envelopes in 30 minutes. Working together, how many total envelopes can they address in one hour?

**3. **Elaina can address 9 envelopes in 15 minutes. Jen can address 13 envelopes in 30 minutes. Working together, how many total envelopes can they address in one hour?
15 minutes is one fourth of an hour. 9x4 is 36 for Elaina. 30 minutes is half an hour. 13x2 is 26 for Jen. 36+26 is the final answer 62 envelopes.

**4. **Kasey bought 4? yards of fabric at JoAnn’s for $23.77. Find the approximate cost per yard for the fabric rounded to the nearest dollar.

**5. **Kasey bought 4? yards of fabric at JoAnn’s for $23.77. Find the approximate cost per yard for the fabric rounded to the nearest dollar.
23.77 ÷ 4? is ˜ 5.485384615 Rounded to the nearest dollar is approximately $5 per yard.

**6. **If a cube has an edge 7 inches long, what is the surface area of the cube?

**7. **If a cube has an edge 7 inches long, what is the surface area of the cube?
One face is 7x7 or 49 in2. Six faces is 6x49. The surface area is 294 in2.

**8. **What is the volume of a box that is 6 in. high by 7 in. wide, by 23 in. long?

**9. **What is the volume of a box that is 6 in. high by 7 in. wide, by 23 in. long?
Volume is lwh. 6x7x23 is 966 in3.

**10. **The inside rail of a running track consists of a rectangle with a semicircle at each end as shown in the figure below. Find the approximate area surrounded by the track rail to the nearest m2.

**11. **The inside rail of a running track consists of a rectangle with a semicircle at each end as shown in the figure below. Find the approximate area surrounded by the track rail to the nearest m2.
The shape is a rectangle and a circle added together. 50x18 is 900m2. The circle is pr2 in this case p92 (Careful r is 9) or 254.4690049 the sum is 1154.4690049 rounded to 1154m2

**12. **If a cube has a surface area of 54 cm2, what is the length of one of its edges?

**13. **If a cube has a surface area of 54 cm2, what is the length of one of its edges?
Surface area of 54 divided by 6 is 9. One face is 9 cm2. One edge is 3 because 3x3 =9. The answer is 3cm for each edge.

**14. **If the side lengths of a square are doubled, how does the area of the square change?

**15. **If the side lengths of a square are doubled, how does the area of the square change?
The area is 2x2 or FOUR times as large.

**16. **If the side lengths of a square are tripled, how does the area of the square change?

**17. **If the side lengths of a square are tripled, how does the area of the square change?
The area is 3x3 or NINE times as large.

**18. **If the edge lengths of a cube are tripled, how does the volume of the cube change?

**19. **If the edge lengths of a cube are tripled, how does the volume of the cube change?
The volume is 3x3x3 or 27 times larger.

**20. ******* An inscribed angle ABC of Circle T, measures 75°. What is the measure of its central angle ATC?

**21. ******* An inscribed angle ABC of Circle T, measures 75°. What is the measure of its central angle ATC?
Anyone knows the central angle is twice the inscribed angle. So the answer is 150 °.

**22. ******* A central angle ATC is 78° in Circle T. What is the measure of inscribed angle ABC?

**23. ******* A central angle ATC is 78° in Circle T. What is the measure of inscribed angle ABC?
Anyone knows the central angle is twice the inscribed angle. so the inscribed angle is half of the central angle or in this case 39°.

**24. ******* An inscribed angle ABC of Circle T, measures 88°. What is the measure of its central angle ATC?

**25. ******* An inscribed angle ABC of Circle T, measures 88°. What is the measure of its central angle ATC?
Anyone knows the central angle is twice the inscribed angle. So the answer is 176 °.

**26. ******* An inscribed angle ABC of Circle T, measures 43.5°. What is the measure of its central angle ATC?

**27. ******* An inscribed angle ABC of Circle T, measures 43.5°. What is the measure of its central angle ATC?
Anyone knows the central angle is twice the inscribed angle. So the answer is 87°.

**28. **Consider ?XYZ where ?X ??Y. Which statement must be true?
A) XZ = XY
B) XZ = YZ
C) XZ < YZ
D) YX < XZ

**29. **Consider ?XYZ where ?X ??Y. Which statement must be true?
A) XZ = XY
B) XZ = YZ It’s B. Sides opposite congruent angles are congruent.
C) XZ < YZ
D) YX < XZ

**30. **The intersection of the three medians of a triangle is called the _________________
Centroid
Circumcenter
Orthocenter
Incenter

**31. **The intersection of the three medians of a triangle is called the _________________
Centroid – It’s the centroid
Circumcenter
Orthocenter
Incenter

**32. **The intersection of the three altitudes of a triangle is called the _________________
Centroid
Circumcenter
Orthocenter
Incenter

**33. **The intersection of the three altitudes of a triangle is called the _________________
Centroid
Circumcenter
Orthocenter – altitudes make the orthocenter
Incenter

**34. **The intersection of the three angle bisectors of a triangle is called the _________________
Centroid
Circumcenter
Orthocenter
Incenter

**35. **The intersection of the three angle bisectors of a triangle is called the _________________
Centroid
Circumcenter
Orthocenter
Incenter – goes with angle bisectors

**36. **The intersection of the three perpendicular bisectors of a triangle is called the _________________
Centroid
Circumcenter
Orthocenter
Incenter

**37. **The intersection of the three perpendicular bisectors of a triangle is called the _________________
Centroid
Circumcenter – goes with perpendicular bisectors
Orthocenter
Incenter

**39. **Alas, MO is double LP because diagonals of a square bisect each other! So MO = 12x + 14

**41. **Missing leg in a pythagorean theorem problem is 182 – 102. That’s 224. The square root of 224 is 14.96662955 , rounded to hundredth 14.97.

**43. **Area is pr2
r is 6.
A = p62. That’s
113.0973355
Rounded its 113 cm2

**45. **Use the Elimination Method:
3 times top is 24x + 42y = 9
-8 times bottom is -24x – 40 y = -8
added together is 2y = 1 so y = ½
substituting ½ in the bottom you find x = -½
Solution is (-½ , ½)

**47. **square root of 80 is 8.94427191
Rounded to the nearest tenth is 8.9

**52. **What is the measure of ?ABC? A) 124 ° B) 64 ° C) 76 ° D) 116°

**53. **What is the measure of ?ABC? A) 124 ° B) 64 ° C) 76 ° D) 116°

**54. **If ?ABC ? ?DEF, what side of ?DEF must be 12 m long? A) DF
B) EF
C) DE
D) BC

**55. **If ?ABC ? ?DEF, what side of ?DEF must be 12 m long? A) DF
B) EF
C) DE
D) BC

**56. **What is the distance between the points (2 , 9) and (8, 4).

**57. **What is the distance between the points (2 , 9) and (8, 4). Use the distance formula or Pythagorean theorem and you get 62 + 52 .
That’s 36 + 25 or 61.

**58. **What is the SLOPE between the points (2 , 9) and (8, 4).

**59. **What is the SLOPE between the points (2 , 9) and (8, 4). Slope is change in y over change in x.
9 – 4 5
2 – 8 -6
The Slope is -5/6

**60. **That’s IT! To master the EOY, know all these questions and don’t mess up!