Geometry Get Ready for the EOI PASS Content

Geometry Get Ready for the EOI PASS Content 1. 1 1. Based on the pattern, what are the next two terms of the sequence? 9, 11, 15, 23, 39, . . . A 52 B 59 C 63 D 71 Page 1

Geometry Get Ready for the EOI PASS Content 1. 2 2. Write the conditional statement illustrated by this Venn diagram F If an animal is a mammal, then it is a cow. G If an animal is a cow, then it is a mammal. H If an animal is a mammal, then it is not a cow. J If an animal is a cow, then it is not a mammal. Page 2

Geometry Get Ready for the EOI PASS Content 2. 2 a 3. Line r is parallel to line t. Find measure of angle 5. A B C D Page 3

Geometry Get Ready for the EOI PASS Content 2. 3 c 4. In parallelogram DEFG, DH = x + 3, HF = 3 y, GH = 4 x – 5, and HE = 2 y + 3. Find the values of x and y. F x = 3, y = 2 G x = 2, y = 3 H x = 6, y = 3 J x = 3, y = 6 Page 4

Geometry Get Ready for the EOI PASS Content 2. 4 b 5. Find the values of x and y, given that are parallel. and A x = 10; y = 25. 5 B 5 x = 20; y = 17 C x = 13; y = 25 D x = 25. 5; y = 10 Page 5

Geometry Get Ready for the EOI PASS Content 2. 5 a 6. Can you use the ASA Postulate, the AAS Theorem, or both to prove the triangles congruent? F ASA only G AAS only H either ASA or AAS J neither Page 6

Geometry Get Ready for the EOI PASS Content 2. 5 b 7. The circles are congruent. What can you conclude from the diagram? A arc CAB arc FDE arc AB arc DE C arc DF arc AC B D none of these Page 7

Geometry Get Ready for the EOI PASS Content 2. 6 a 8. A park maintenance person stands 16 m from a circular monument. If you assume her lines of sight form tangents to the monument and make an angle of 34°, what is the measure of the arc of the monument that her lines of sight intersect? F 292° G 146° H 68° J 34° Page 8

Geometry Get Ready for the EOI PASS Content 2. 6 b 9. The figure consists of a chord, a secant and a tangent to the circle. Find the value of x, round to the nearest hundredth, if necessary. A 15. 75 B 9 C 5. 14 D 28 Page 9

Geometry Get Ready for the EOI PASS Content 3. 1 10. A grid shows the positions of a subway stop and your house. The subway stop is located at (– 5, 2) and your house is located at (– 9, 9). What is the distance, to the nearest unit, between your house and the subway stop? F 13 G 5 H 18 J 8 Page 10

Geometry Get Ready for the EOI PASS Content 3. 2 11. Find the length of the hypotenuse using the special relationships for a 45 -45 -90 triangle. A B C D Page 11

Geometry Get Ready for the EOI PASS Content 3. 3 12. Write the ratios for sin A and cos A. F G H J Page 12

Geometry Get Ready for the EOI PASS Content 3. 3 13. To find the height of a pole, a surveyor moves 140 feet away from the base of the pole and then, with a transit 4 feet tall, measures the angle of elevation to the top of the pole to be 44. To the nearest foot, what is the height of the pole? A 145 ft B 149 ft C 135 ft D 139 ft Page 13

Geometry Get Ready for the EOI PASS Content 4. 1 a 14. Which polyhedron has 10 faces? F hexagonal prism G pentagonal prism H octagonal prism J septagonal prism Page 13

Geometry Get Ready for the EOI PASS Content 4. 1 b 15. The volume of a cylinder is 980 cubic inches. The height of the cylinder is 20 in. What is the radius of the cylinder? A 7 inches B 18 inches C 49 inches D 327 inches Page 15

Geometry Get Ready for the EOI PASS Content 4. 2 a 16. Find the similarity ratio of a cube with volume 729 to a cube with volume 3375. F 81 : 225 G 3: 5 H 5: 3 J 225 : 81 Page 16

Geometry Get Ready for the EOI 17. Consider the pattern to the right. Is the pattern a net for a cube? If so, name the letters that will appear on opposite faces. PASS Content 4. 3 A no, it is not a net for a cube 7 B yes, U and Y, V and Z, W and Z are opposite faces C yes, U and X, V and W, Z and Y are opposite faces D yes, U and W, V and Y, X and Z are opposite faces Page 17

Geometry Get Ready for the EOI PASS Content 5. 1 18. M is the midpoint of the line segment CF for the points C(3, 4) and F(9, 8). Find MF. Distance between two points and F G H J Page 18

Geometry Get Ready for the EOI PASS Content 5. 2 a 19. What type of triangle has vertices at the points A(-1, 1), B(3, 1), and C(-1, -2)? A right B obtuse C isosceles D equilateral Page 19

Geometry Get Ready for the EOI PASS Content 5. 2 b 20. Which graph shows a triangle and its reflection image in the x-axis? F G H J Page 20