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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