WorksheetsPractice Geometry EOC # 2 (1-38)
Total questions: 38
Worksheet time: 19mins
Rebecca is loading medical supply boxes into a crate. Each supply box is 1.5 feet tall, 1 foot wide, and 2 feet deep. The crate is 9 feet high, 10 feet wide, and 10 feet deep. What is the maximum number of supply boxes she can pack in this crate?
a. 200
b. 300
c. 450
d. 600
A local artist creates a piece with two glass cylinders filled with colored water. The first cylinder has a height of 10 inches and a diameter of 2 inches. The second cylinder has the same radius but is twice as tall as the first cylinder. What is the relationship between the volume of the first cylinder and the second cylinder?
a. The volume of the second cylinder is one-half the volume of the first cylinder.
b. The volume of the second cylinder is one-fourth the volume of the first cylinder.
c. The volume of the second cylinder is the same as the volume of the first cylinder.
d. The volume of the second cylinder is twice the volume of the first cylinder.
How many vertices does the polyhedron below have?
8
10
12
20
Which type of transformation does NOT necessarily result in the image being congruent to the preimage?
dilation
reflection
rotation
translation
A plane is flying at an altitude of 12,000 feet and is preparing to land at a nearby airport. The angle from the airport to the plane is 17°. To the nearest tenth of a foot, how far is the airport from the plane?
3,668.8 feet
12,548.3 feet
39,250.2 feet
41,043.6 feet
Which of the following correctly shows the number of faces, edges, and vertices of the triangular prism shown in the diagram?
5 faces, 6 edges, 9 vertices
5 faces, 9 edges, 6 vertices
6 faces, 9 edges, 5 vertices
6 faces, 10 edges, 6 vertices
Martin built a box to store his video games. The box dimensions are shown in the diagram. He needed more storage and built a similar box that was one-third of each the length, the width, and the height of the first box. By what factor does the change in dimension between the two boxes affect the surface area?
The surface area of the smaller box is 1/3 of the surface area of the larger box.
The surface area of the smaller box is 1/6 of the surface area of the larger box.
The surface area of the smaller box is 1/9 of the surface area of the larger box.
The surface area of the smaller box is 2/3 of the surface area of the larger box.
What is the last reason in the proof ?
SAS
ASA
SSS
CPCTC
Maria drew the map shown below. On the map, Main Street is perpendicular to Central Avenue. Which of the following is a valid conjecture Maria can make based on the map below?
The distance from the School to the Post Office is less than the distance from the School to the Bank.
The distance from the Post Office to the Bank is less than the distance from the School to the Bank.
The distance from the School to the Post Office is less than the distance from the Post Office to the Bank.
The distance from the Post Office to the Bank is less than the distance from the Post Office to the School.
Which type of transformation could have been used to create the symmetric traffic sign shown below?
dilation
reflection
rotation
translation
What is the converse of the converse of the following conditional statement? If an angle is a right angle, then its measure is 90°.
If an angle is NOT a right angle, then its measure is 90°.
If an angle is NOT a right angle, then its measure is NOT 90°.
If an angle has not a measure of 90°, then it is a right angle.
If an angle has a measure of 90°, then it is a right angle.
What are the center and radius of the circle with equation (x + 2)² + (y + 10)² = 25?
center (-2, -10); r = 5
center (2, 10); r = 5
center (-2, -10); r = 10
center (10, 2); r = 25
What is the approximate value of x in the diagram below?
7.6 centimeters
8.4 centimeters
16.3 centimeters
19.9 centimeters
Helena creates two similar rectangles using exactly 100 cm of string. The smaller rectangle is 4 cm by 6 cm. What are the dimensions of the larger rectangle?
18 cm by 22 cm
16 cm by 24 cm
20 cm by 30 cm
36 cm by 54 cm
Emily has a rectangular deck in her backyard with an area of 96 square feet. She wants to increase the size of the deck by doubling each dimension. What will the area of the deck be after she doubles the length and width?
144 square feet
192 square feet
226 square feet
384 square feet
What is the missing reason in the proof? Given: JKLM is a parallelogram.
Prove: ∠J ≡ ∠L.
Same-Side Interior Angles Theorem
Corresponding Angles Theorem
Same-Side Exterior Angles Theorem
Triangle Angle-Sum Theorem
Vicky looked at the outside of a circular stadium with binoculars. She estimated the angle of her vision was reduced to 60°. She is positioned so that the line of sight on either side is tangent to the stadium. What was the measure of the arc of the stadium intercepted by the lines of sight?
a. 60°
b. 80°
c. 120°
d. 160°
The coordinates of endpoint A in line segment AB are at A(-3, 0). If the midpoint of the segment is at M(2, 3), what are the coordinates of point B?
a. (-0.5, 1.5)
b. (-0.5, 3)
c. (7, 6)
d. (6, 5)
In the triangle below, 2x + 4 is the longest side. Which inequality represents the possible values of x?
a. 3 < x < 9
b. 4 < x < 8.5
c. 4.5 < x < 9
d. 17/2 > x > 17
In triangle ABC, PQ is parallel to BC. What is the length of PB, in centimeters?
10 centimeters
12 centimeters
20 centimeters
30 centimeters
The clock below is in the shape of a regular pentagon. What is x, the degree measure that the bottom side of the clock makes with the surface of the table?
72°
108°
112°
148°
Which statements are always logically equivalent?
a. the converse of a conditional statement and contrapositive of a conditional statement
b. the conditional statement and its contrapositive
c. the conditional statement and its inverse
d. the inverse and contrapositive of a conditional statement
In the drawing below, line h is parallel to line k. What is the value of y?
a. 135
b. 15
c. 35
d. 145
The vertices of the trapezoid are represented by A(4a, 4b), B(4c, 4b), and C(4d, 0). What is the midpoint of the midsegment of the trapezoid?
a. (a+c+d, b)
b. (2c, 2b)
c. (a+c+d, 2b)
d. (2a+2d, 2b)
In order to determine the area of a trapezoid, you must know the height. What is the height of the trapezoid shown?
a. 3
b. 5√2/2
c. 5
d. 5√2
The figure represents the overhead view of a deck surrounding a hot tub. What is the approximate area of the deck?
278.7 square meters
75.4 square meters
52.5 square meters
22.9 square meters
Which of the following is the correct equation for the circle shown below?
(x-1)² + (y+2)² = 49
(x+1)² + (y-2)² = 49
(x-1)² + (y+2)² = 7
(x+1)² + (y-2)² = 7
Find the difference in the surface area of the two spheres shown in the diagram.
a. 36π
b. 144π
c. 288π
d. 576π
Paola made a rectangular painting that has an area of 24 square feet. She now wants to make a similar painting that has dimensions that are 2/3 the size of the original. What will the area of the new painting be?
a. 36 square feet
b. 16 square feet
c. 12 square feet
d. 10 2/3 square feet
Sarah is building a chair for her front porch. She cuts each leg so that they form a 45° angle with the base of the seat of the chair as shown in the diagram. What angle does the front of each leg make with the ground, x, in order to ensure that the seat of the chair is parallel with the ground?
a. 45°
b. 90°
c. 135°
d. 145°
Find the surface area of the prism below:
120 units²
144 units²
168 units²
180 units²
Given: AB || DE. Which can be used to prove ΔABC ≈ ΔEDC?
AA Similarity Postulate
SSS Similarity Theorem
ASA Similarity Theorem
SAS Similarity Theorem
A lighthouse warns ships of impending danger and must be viewed from miles away. A particular lighthouse can be seen from 20 miles. Find the equation of the circle the lighthouse makes as it lights the water.
(x - 30)^2 + (y - 30)^2 = 400
(x + 30)^2 + (y + 30)^2 = 400
(x - 30)^2 + (y - 30)^2 = 20
Find the value of x.
10.9 meters
13.2 meters
25.7 meters
28.4 meters
In the proof below, what is the missing reason? Given: ABCD is a kite. Prove: ∠B = ∠D. Statements and Reasons: 1. AB = AD and BC = CD (Definition of kite), 2. AC = AC (Reflexive Property of equality), 3. ΔABC ≅ ΔADC (SSS), 4. ∠B = ∠D (?).
SAS
CPCTC
SSS
AAS
Triangle LMN has the vertices shown on the coordinate grid. What is the length of LM?
7 units
√61 units
6√2 units
√74 units
Which conjecture is true?
An even number plus 3 is always even
An even number plus 3 is always prime
An even number plus 3 is always odd
A prime number plus 3 is always even
What sequence of transformations could map triangle ABC to triangle A"B"C"?
A dilation followed by a rotation.
A translation followed by a reflection.
A rotation about the origin followed by a translation.
A reflection followed by a rotation.
