Midterm Common Core Questions (June and August 2016) Name: 1. Date: Triangle MNP is the image of triangle JKL after a 120 counterclockwise rotation about point Q. If the measure of angle L is 47 and the measure of angle N is 57 , determine the measure of angle M. Explain how you arrived at your answer. 4. In the diagram below, lines `, m, n, and p intersect line r. Which statement is true? A. 2. 3. A regular hexagon is rotated in a counterclockwise direction about its center. Determine and state the minimum number of degrees in the rotation such that the hexagon will coincide with itself. 5. Describe a sequence of transformations that will map ^ABC onto ^DEF as shown below. `kn B. `kp C. mkp D. m k n Using a compass and straightedge, construct and label ^A0 B0 C0 , the image of ^ABC after a dilation with a scale factor of 2 and centered at B. [Leave all construction marks.] Describe the relationship between the lengths of AC and A0 C0 . page 1 6. 9. In the diagram below, mOBDC = 100 , mOA = 50 , and mODBC = 30 . Which sequence of transformations will map ^ABC onto ^A 0 B 0 C 0 ? Which statement is true? 7. 8. A. ^ABD is obtuse. B. ^ABC is isosceles. C. mOABD = 80 D. ^ABD is scalene. Which transformation would not always produce an image that would be congruent to the original gure? A. translation B. dilation C. rotation D. re ection A. re ection and translation B. rotation and re ection C. translation and dilation D. dilation and rotation In the diagram below, ^ABC has coordinates A(1; 1), B(4; 1), and C(4; 5). Graph and label ^A00 B00 C00 , the image of ^ABC after the translation ve units to the right and two units up followed by the re ection over the line y = 0. 10. In the diagram below, ABCD is a parallelogram, AB is extended through B to E, and CE is drawn. If CE = BE and mOD = 112 , what is mOE? A. page 2 44 B. 56 C. 68 D. 112 Midterm Common Core Questions (June and August 2016) Problem-Attic format version 4.4.284 c 2011–2016 EducAide Software _ Licensed for use by Terry Feeley Terms of Use at www.problem-attic.com Midterm Common Core Questions (June and August 2016) 1. Answer: 76 2. Answer: 60 3. Answer: [transformations] 4. Answer: B 5. Answer: [construction] 6. Answer: B 7. Answer: B 8. Answer: [graph] 9. Answer: D 10. Answer: A 01/30/2017
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