NAME
12
DATE
PERIOD
SCORE
HOMEWORK 12-3
Advanced Geometry
1. A cylinder has a radius of 4 in and a volume
of 176π in3. What is its height?
2. A right pentagonal prism has lateral area of
1476 mm2 and height of 36 mm. What is the
perimeter of the base?
3. The lateral areal of a cylinder is 182π and its
height is 13. What is the radius?
4. The volume of a cube is 512 in3. What is the
side length?
Find the exact cube root of the following numbers.
5. 8
6. 24
7. 6859
8. 1200
_________________
__________________
________________
________________
9. Find the expanded volume of the box below.
2
6
y
z
x
1
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Expand the following.
11. (2x + 5)3
10. (y + 4)(3y + 1)(4y + 7)
Find the area of the following triangles.
13.
14.
6
10
5
12
8
8
5
15. Find the following with the right triangular prism.
LA = _______________
9
11
SA = _______________
14
V = _______________
16. A swimming pool is 10 ft deep, 20 feet wide, and 32 feet long. How many gallons of water will it hold? (1 gal = 231
in3)
17. Using the same pool as above, it will obviously not be filled to the brim. How many gallons will be used if the owner
leaves 10 inches from the top of the pool to the surface of the water?
Chapter 4
61
Glencoe Geometry
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
COMPREHENSIVE Review CH 4 and 5
SCORE ___________
Write the letter for the correct answer in the blank at the right of each question.
1. Which best describes the type of triangle?
A acute
C obtuse
B equiangular
D right
2. What is the value of x if △ABC is equilateral?
F –8
H
G–
J2
Use the figure for Questions 3 and 4.
3. What is m∠ 2?
A 50
B 70
C 110
D 120
4. What is m∠ 4?
F 10
G 60
H 100
J 120
5. Which triangles are congruent in the figure?
F △ABC ≅ △EBD
G △ABE ≅ △CBD
H △AEB ≅ △CBD
J △ABE ≅ △CDB
6. If △CJW ≅ △AGS, m∠ A = 50, m∠ J = 45,
and m∠ S = 16x + 5, what is the value of x?
F 17.5
G 11.875
H6
J5
7. Given: L is the midpoint of ̅̅̅̅
̅̅̅ ∥ ̅̅̅̅̅
Prove: △JKL ≅ △MNL
Statements
Chapter 4
Reasons
62
Glencoe Geometry
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
8. Classify the triangle with vertices at A(5, 0), B(0, 5), and C(–5, 0).
For Questions 9-13, refer to the figure to determine
which is a true statement for the given information.
9. ̅̅̅̅ is a median.
A m∠ ACD = 90
B ∠ BAC ≅ ∠ DAC
C BC = CD
D ∠ B ≅∠ D
̅̅̅̅ is an angle bisector.
10.
F m∠ ACD = 90
G ∠ BAC ≅ ∠ DAC
H BC = CD
J ∠B ≅ ∠D
̅̅̅̅ is an altitude.
11.
A m∠ ACD = 90
B ∠ BAC ≅ ∠ DAC
C BC = CD
D ∠B ≅ ∠D
12. Name the longest side of △DEF.
F ̅̅̅̅
G ̅̅̅̅̅
H ̅̅̅̅
J cannot tell
13. Which angle in △ABC has the greatest measure?
A ∠A
C ∠C
B ∠B
D cannot tell
14. Given: ̅̅̅̅ ≅ ̅̅̅̅ ; ̅̅̅̅ ≅ ̅̅̅̅
Q
L
Prove: ∆LNQ ≅ ∆QRL
M
R
Chapter 4
62
N
Glencoe Geometry