Geometry EOC REVIEW: Perimeter, Area / Volume, Density

1.

2. (HINT: think about combining the volume of

TWO DIFFERENT solids)

3. Find the volume of the cone.

4. Cube A has side lengths that are two times as

long as the sides of cube B. What is the volume of

Cube A if Cube B’s volume is 40 cubic inches?

A) 80 cubic inches

B) 160 cubic inches

C) 240 cubic inches

D) 320 cubic inches

5. 6. If the volume of a rectangular prism is 420.75

cubic centimeters and the area of the base is 49.5

square centimeters, what is the height of the

prism in centimeters?

A) 4.5 cm

B) 8.5 cm

C) 11.0 cm

D) 15.5 cm

A B

7.

8. What is the volume of the cone shown below?

A) 3

16 cubic inches

B) 16 cubic inches

C) 3

4 cubic inches

D) 4 cubic inches

9.

10. What is the volume of a Mountain Dew can if its

diameter at the top is 5 cm and the height of the

can is 5 centimeters?

A) 125 cubic centimeters

B) 10 cubic centimeters

C) 31.25 cubic centimeters

D) 50 cubic centimeters

11. Find the area of the sector in circle P if PA = 10

and mAPB = 360.

A) 10

B) 20 C) 36

D) 72

12. Find the area of the sector made by the bold arc.

13. Find the length of the bold arc in the circle.

14. Find the length of the bold arc in the circle.

15. Find the area of the shape below.

16. Write an equation for a circle with a radius of 2

units and center at (1, 3)

A) (x – 1)2 + (x – 3) 2 = 4

B) (x – 1) 2 + (x – 3) 2 = 2

C) (x + 1) 2 + (x + 3) 2 = 4

D) (x + 1) 2 + (x + 3) 2 = 2

17. What is the equation of the circle graphed below?

18.

19.

20. What is the equation of the circle graphed below?

21. Within a radius of 4.9 miles of a cell phone tower,

1483 people per square mile enjoy quality phone

signals. What is the population of cell phone users

within the tower’s coverage area?

22. A plane intersects the triangular prism so that it is perpendicular to the bottom. What is the shape of the cross section?

Geometry EOC REVIEW: Similarity / Right Triangles, Trigonometry (St G / H)

1. Determine if the triangles are similar and state why.

2. Determine if the triangles are similar and state why.

3. Determine if the triangles are similar and state why.

4. Determine if the triangles are similar and state why.

5. Solve for x and y if

6. Solve for x if

7. Solve for x.

8. Solve for x.

9.

10. A) 42 cm

B) 21 cm

C) 36 cm

D) 24 cm

11. Find the value for x.

A) 13.59 cm B) 6.34 cm C) 35.49 cm D) 16.55 cm

12. Find the value for X.

A) 34.44 ft B) 16.06 ft C) 17.72 ft D) 81.49 ft

250

15cm X

38ft

X

650

13. 14. Find the value for x.

A) 36.870

B) 53.130

C) 30.960

D) 500

15. Find the approximate height of the building if a

wire is connected to the top of the building is

450 ft and the distance from the building to the

wire is 200 ft.

A) 492.4 ft

B) 300 ft

C) 403.1 ft

D) 300 ft

16.

25 ft

15 ft

X0

Geometry EOC REVIEW standard d & e: Isosceles ∆𝑠 & ≅ ∆𝑠 /Transformations

1.

2.

3.

What is the measure of angle RPS?

4.

5. Write the rule for the transformation.

6. Perform (graph) the composition on the triangle below:

Transformation 1: 90 clockwise rotation about origin Transformation 2: Reflection across x = -1

7.

8.

9. Given that ABCD is a parallelogram, a student wrote the proof below to show that a pair of its opposite angles are congruent. FILL IN THE LAST BLANK.

10. Triangle A is mapped onto B. What is the rule for this transformation? Each box is 1 square unit.

11. If triangle ABC is similar to triangle DEF and

A(0,1.5), B(-1,-1), C(2,-1) and D(0,3), E(-2, -

2), what are the coordinates of F? (Hint:

graph it!)

a. F(2, 0.5)

b. F(4, -2)

c. F(2, -1)

d. F(3, -1)

12. Rectangle PQRS with vertices P(8,8), Q(8,6),

R(2,6), and S(2,8) has been transformed by a

composition of transformations. What rule

below represents the composition?

13.

Prove that ABC CDA given that DCAB and

DCAB

Statement Reason

1. 1. Given

2. DCAB 2.

3. 3. Alternate Interior

Angles are congruent.

4. 4.

5. CDAABC 5.

14.

15.

Prove that ABC EDC given that DCBC

and DEAB

Statement Reason

1. 1. Given

2. DEAB 2.

3. 3. Alternate Interior

Angles are congruent.

4. ECDACB 4.

5. CDAABC 5.

D C

B A

Math Composer 1.2.3 http://www.mathcomposer.com

E

D

C

B

A

S’ P’

Q’ R’

A. (𝑥, 𝑦) → (1

2𝑥,

1

2𝑦)

B. (𝑥, 𝑦) → (2𝑥, 2𝑦)

C. (𝑥, 𝑦) → (2𝑥 ,2𝑦 + 2)

D. (𝑥, 𝑦) → (2𝑥, 2𝑦 − 2)

E. (𝑥, 𝑦) → (1

2𝑥,

1

2𝑦 − 2)

16. In the figure below, k || m. What is the value of y?

17. Perform (graph) the composition on the triangle below:

Transformation 1: 180 clockwise rotation about origin Transformation 2: (x,y) →(x - 3, y + 1)

18.

19.

20. ABCD is a parallelogram. What is 𝑚∠ACD?

21. ABCD is a parallelogram. Find m∠D

22. What are the coordinates of the point on the directed line segment from K(–5,–4) to L(5,1) that partitions the segment into a ratio of 3 to 2? ***use graph paper if you need!**

23. Given the points P(2, –1) and Q(–9, –6), what are

the coordinates of the point on directed line

segment PQ that partitions PQ in the ratio 3:2?

A.

−

−4,

5

23 B.

−

−3,

5

23 C.

−

−

3

8,

3

5 D.

−

−2,

3

5