Download Geometry EOC Practice Test - Northshore School District

Geometry EOC
Practice Exam
General Notes
This document is not state (OSPI) created or approved. This was developed using resources created by OSPI, the
Seattle School District, Mukilteo School District the Bainbridge Island School district and NSD.
This is not an exhaustive sampling of EOC Exam test items. Rather it is intended to give students an idea of what
their level of understanding is for the Performance Expectations assessed on the state EOC.
Purpose of Practice Exam
This practice exam has been designed for those students who need to take the Year 2 Retake (EOC Make Up for
Geometry) to meet their graduation requirement. This assessment can be used in one of two ways:
1) You can use this as a pretest to see what concepts you need to focus on studying prior to taking the Year 2
Retake. You can go to the companion study guide, “Year 2 Retake Study Guide” to find additional practice
problems on those items that you missed on the assessment.
2) You could first review the “Year 2 Retake Study Guide” and then use this practice exam as a post-test.
Types of Questions
Both this practice exam and the state assessment will have three different types of questions: multiple-choice,
completion, and short-answer.
 For multiple-choice questions, choose the best answer from the four choices given.

For short-answer questions, your answers may be graphs, tables, words, or calculations.
Resources/Tools Allowed
A graphing calculator may be used for all questions.. When you take the state exam, the memory will be cleared.
You may also use a straightedge and a compass. The formula page that is on the following two pages will be
available during the exam.
Organization of the Practice Test
The practice exam is organized into the three sections that represent the strands that are assessed for graduation.
Section 1: Questions 1 - 4
Logical Argument and Proof
Section 2: Questions 5 – 21
Proving and Applying Properties of 2-Dimensional Figures
Section 3: Questions 22 – 27
Figures in a Coordinate Plane and Measurement
Answers
The answers are provided at the end of the document
Northshore School District January 2012
Geometry EOC
Practice Exam
Northshore School District January 2012
Geometry EOC
Practice Exam
Northshore School District January 2012
Geometry EOC
Practice Exam
1. The given statement is a valid geometric proposition
If two angles are right angles, then they are congruent.
a) Which is the converse of this statement?
O A.
If two angles are congruent, then they are right angles.
O B.
If two angles are not congruent, then they are not right angles.
O C.
If two angles are not right angles, then they are not congruent.
O D.
If two angles are not right angles, then they could be congruent.
b) Is the converse of this statement valid? If it is not valid, then provide a counterexample.
2. Christine knows that if two polygons are congruent, then they must have the same perimeter and area. She
concludes that it is also true that if two polygons have the same perimeter and area, then they are congruent.
Which pair of polygons can be used as a counterexample to Christine’s conclusion?
Northshore School District January 2012
Geometry EOC
Practice Exam
3. Given ABC ≅ PRQ, AB ≅ PQ, BC ≅ QR, Elena said that ΔABC ≅ ΔPQR by SAS. Which of the following
could be an error in her thinking?
o A. The triangles are ≅ by ASA.
o B. The triangles are ≅ by SSS.
o C.
PRQ is not between PQ and RQ.
o D. ΔABC is not an isosceles triangle.
4. Which of the following statements is true?
o A. A postulate is a proven fact using theorems, definitions, and undefined terms.
o B. A theorem is a proven fact using postulates, definitions, and undefined terms.
o C. Some defined geometric terms are line, plane, and point.
o D. Some undefined geometry terms are angle, ray, and line segment.
5. Find the value of x in the given diagram.
x = ________________
6. Find the value of n.
n = ________________
Northshore School District January 2012
Geometry EOC
Practice Exam
7. Find the m∠MKL
o A. 6
o B. 76
o C. 38
o D. 52
8. ̅̅̅̅
𝐸𝐷 ̿̿̿̿
𝐹𝐷 , and ̅̅̅̅
𝐺𝐷 are the perpendicular bisectors of the sides of ∆ABC. Find BD.
BD = ___________________
9. Identify the angles of ∆XYZ in order from smallest to largest.
o A. ∠𝑋, ∠𝑌, ∠𝑍
o B. ∠𝑍, ∠𝑌, ∠𝑋
o C. ∠𝑋, ∠𝑍, ∠𝑌
o D. ∠𝑌, ∠𝑋, ∠𝑍
10. Which theorem or postulate can be used to prove that ∆𝑋𝑌𝑍 ≅ ∆𝑉𝑊𝑍?
O A.
SSS
O B.
SAS
O C.
ASA
O D.
SSA
Northshore School District January 2012
Geometry EOC
Practice Exam
11. Complete the proof by writing in the missing statement and reasons.
12.
Given: ̅̅̅̅
𝐴𝐵 ≅ ̅̅̅̅
𝐸𝐵 and ∠𝐴𝐷𝐵 ≅ ∠𝐸𝐶𝐵
Prove ∆𝐴𝐵𝐷 ≅ ∆𝐸𝐵𝐶 using mathematiacal language and concepts.
13. A lighthouse stands on a hill 80 meters above sea level. The measure of ∠𝑀𝑃𝑄 is 60 degrees and the
measure of ∠𝑁𝑃𝑄 is 30 degrees.
What is the height of the lighthouse?
O A.
80 meters
O B.
120 meters
O C.
160 meters
O D.
240 meters
Northshore School District January 2012
Geometry EOC
Practice Exam
14. A rectangular prism is shown. The base of the prism is a square. The length of the diagonal from top corner A
to opposite bottom corner B is 2 feet.
Determine the exact length of the box in inches.
Length of Box = __________________ inches
15. Two trees stand on opposite banks of the river, located at points A and B. A surveyor is standing at point C
which is 100 feet from point B. He measures angle ACB to be 72 degrees.
Determine the length of AB, the width
of the river to the nearest hundredth.
AB = _____________
figurebelow,
belowtois the
a right
triangle
16. Find the value of a inThe
the figure
nearest
whole number.
with measurements given.
o A. 10
20
a
o B. 11
o C. 14
o D. 16
35°
Find the value of a to the nearest
whole number.
a. 10
b. 11
c. 14
d. 16
Northshore School District January 2012
Geometry EOC
Practice Exam
17. In the parallelogram below, m
ABC = 70°. Find m
ACD.
70
A
m
ACD. = ______
B
3x-40
2x-5
D
18. Quadrilateral LMNO is a parallelogram.
L
O
C
M
N
Which statement about the parallelogram must be true?
O A.
̅̅̅̅
𝐿𝑁 ≅ ̅̅̅̅̅
𝑂𝑀
O B.
∆𝐿𝑂𝑁 ≅ ∆𝑁𝑀𝐿
O C.
̅̅̅̅̅
𝑂𝑀 is the bisector of ∠𝐿𝑂𝑁
O D.
̅̅̅̅ and ̅̅̅̅̅
Diagonals 𝐿𝑁
𝑂𝑀 are perpendicular.
19. Given that PQ = QR = RS = SP, identify the additional information needed to conclude that ABCD is a square.
o A. PS || QR
o B. PQ || SR
o C. PR = QS
o D. PQ  SR
Northshore School District January 2012
Year 2 Retake: EOC Make Up for Geometry
Practice Exam
20. Find the value of x in the given isosceles
trapezoid.
ABCD
is an isosceles trapezoid.
x = ____________
30°
25°
x
Find the value of x
21. The measure of an exterior angle of a regular polygon is 40 degrees. Determine the number of sides the
regular polygon has.
Number of Sides: __________
22.
̅̅̅̅.
Points R, S and T are collinear. S is the midpoint of 𝑅𝑇
The coordinates of point R are (-4, 5). The coordinates of point S are (-1, 3).
Determine the coordinates of point T.
Coordinates of point T: _____________
23. Three vertices of a square have coordinates (3, 1), (4, -4) and (-1, -5). The diagonals of the square intersect at
point Q. Determine the coordinates of point Q. You may use the blank grid to help determine the solution.
Coordinates of Point Q = ____________
Northshore School District January 2012
Year 2 Retake: EOC Make Up for Geometry
Practice Exam
24. The vertices for triangle ABC are A(-6, -4), B(-5, 3), and C(2, 2). What type of triangle is ABC?
o A. Scalene right triangle
o B. Scalene triangle
o C. Equilateral triangle
o D. Isosceles right triangle
25. Parallelogram WXYZ is shown on the coordinate grid. Verify that the diagonals the parallelogram bisect each
other.
26. A digital camera takes pictures that are 3.2 megabytes in size. If the pictures are stored on a 1-gigabyte card,
how many pictures can be taken before the card is full? (There are 1000 megabytes in a gigabyte.)
Number of Pictures = _____________
Northshore School District January 2012
Year 2 Retake: EOC Make Up for Geometry
Practice Exam
27. A backpack has a volume of 3000 cubic inches.
1 inch = 2.54 centimeters
What is the volume of the backpack to the nearest cubic centimeter?
o A. 183 cubic centimeters
o B. 1,181 cubic centimeters
o C. 7,620 cubic centimeters
o D. 49, 161 cubic centimeters
Northshore School District January 2012
Year 2 Retake: EOC Make Up for Geometry
Practice Exam
Answers
Problem
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
Answer
A; not valid any pair of congruent angles that are not 90 degrees would be a counterexample
D
C
B
29
4
C
17
A
B
3. ∠𝑅𝑄𝑃 ≅ ∠𝑆𝑄𝑃
4. Reflexive Property of Congruence
5. SAS
̅̅̅̅ ≅ 𝐸𝐵
̅̅̅̅ and ∠𝐴𝐷𝐵 ≅ ∠𝐸𝐶𝐵 are given pieces of information. ∠𝐴𝐵𝐷 ≅ ∠𝐸𝐵𝐶 because vertical
𝐴𝐵
angles are congruent. ∆𝐴𝐵𝐷 ≅ ∆𝐸𝐵𝐶 by AAS
C
√414 or 3√46
307.77 ft
B
45O
B
C
95
9
(2, 1)
(1, -2)
D
Diagonals bisect each other since both diagonals have the same midpoint of (1, 1)
312
D
Northshore School District January 2012