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Geometry
Practice End-of-Course Exam #1
Name _________________________
Teacher _____________
Per ___________
1
3, 5, 7, and 11 are prime numbers. 4, 6, 8, 9, and 10 are composite numbers. Tiana
makes the conjecture that prime numbers must be odd.
Which statement is true?
Ο A. This is an example of inductive reasoning and the conjecture is valid.
Ο B. This is an example of inductive reasoning and the conjecture is not valid.
Ο C. This is an example of deductive reasoning and the conjecture is valid.
Ο D. This is an example of deductive reasoning and the conjecture is not valid.
2
Look at the conditional statement.
If an angle measures 30°, then it is acute.
Which statement is the converse?
Ο A. If an angle does not measure 30°, then it is not acute.
Ο B. If an angle is not acute, then it does not measure 30°.
Ο C. If an angle is acute, then it measures 30°.
Ο D. If an angle measures 30°, then it is not acute.
3
Look at the conditional statement.
If a figure is a pentagon, then it has five sides.
Which statement is the inverse?
Ο A. If a figure has five sides, then it is a pentagon.
Ο B. If a figure is a pentagon, then it does not have five sides.
Ο C. If a figure does not have five sides, then it is not a pentagon.
Ο D. If a figure is not a pentagon, then it does not have five sides.
4
Look at the conditional statement.
If two angles are vertical angles, then they are congruent.
Which statement is the contrapositive?
Ο A. If two angles are not vertical angles, then they are not congruent.
Ο B. If two angles are not congruent, then they are not vertical angles.
Ο C. If two angles are congruent, then they are vertical angles.
Ο D. If two angles are not congruent, then they are vertical angles.
Determine the validity of the statement you selected. Explain your reasoning using
words, numbers, and/or pictures.
Is the statement valid? ______________
5
Which statement is true?
Ο A. A postulate is accepted as true without proof.
Ο B. A theorem is accepted as true without proof.
Ο C. Definitions can never be used as reasons in a proof.
Ο D. Theorems can never be used as reasons in a proof.
6
Lines l, m, and n lie in the same plane. Line m is perpendicular to line l. Line n is
perpendicular to line l.
Which statement is true?
Ο A. Line m and line n are perpendicular.
Ο B. Line m and line n are parallel.
Ο C. Line m and line n will intersect.
Ο D. Line m and line n are skew.
7
2
Line p has a slope of 3. What is the slope of a line that is perpendicular to line p?
Write your answer on the line.
What is the slope of a line that is perpendicular to line p? _________
8
Look at the figure.
2
4
6
8
5
7
1
3
l
m
Which list of angles represents all angles that are congruent to ∠ 3?
Ο A. ∠4, ∠5, ∠6
Ο B. ∠1, ∠2, ∠7, ∠8
Ο C. ∠1, ∠4, ∠5, ∠8
Ο D. ∠2, ∠6, ∠7
9
Look at the figure.
2
4
6
8
5
7
1
3
l
m
Which list of angles represents all angles that are supplementary to ∠ 8?
Ο A. ∠1, ∠2, ∠7
Ο B. ∠3, ∠4, ∠5, ∠6
Ο C. ∠1, ∠4, ∠5
Ο D. ∠2, ∠3, ∠6, ∠7
10
1
A student conjectures that if n is a positive number, then 𝑛 ≤ n.
Which of the following values for n is a counterexample?
Ο A. n = 2
Ο B. n = ½
Ο C. n = 1
Ο D. n = 15
11
Two unique planes intersect.
Which geometric term describes the intersection?
Ο A. line
Ο B. plane
Ο C. point
Ο D. segment
12
Which equation represents the line through the points (-1, -2) and (2, 7)?
Ο A. y = 3x + 1
Ο B. y – 2 = 3(x – 1)
Ο C. y – 7 = -3(x – 2)
Ο D. x – 3y = 5
13
Line l goes through the point (9, -4) and is parallel to 2x + 3y = 5.
Determine the y-intercept of line l.
Write your answer on the line.
What is the y-intercept of the line l ? __________
14
Which ordered pair is the midpoint of the line segment with endpoints (2,-5) and (-6, 4).
Ο A. (-4, -1)
1
Ο B. (−4, − 2)
1
Ο C. (−2, − 2)
Ο D. (-2, -1)
15
Points X, Y and Z are collinear. Y is the midpoint of ����
𝑋𝑍.
The coordinates of point X are (4, 3). The coordinates of point Y are (-1, 2).
Determine the coordinates of point Z.
Write your answer on the line.
What are the coordinates of the point Z? ( _______ , _______ )
16
Look at the following statements.
𝑚∠𝐴 = 𝑚∠𝐵
𝑚∠𝐵 = 𝑚∠𝐶
Which of the following statements is true?
Ο A. 𝑚∠𝐴 + 𝑚∠𝐶 = 2𝑚∠𝐵
Ο B. 𝑚∠𝐴 + 𝑚∠𝐵 = 180
Ο C. 𝑚∠𝐴 ≠ 𝑚∠𝐶
Ο D. 𝑚∠𝐴 𝑖𝑠 𝑎 𝑟𝑖𝑔ℎ𝑡 𝑎𝑛𝑔𝑙𝑒