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Geometry/Trig 2 – Unit 1 Review – Station 1 Use the diagram to name each. Make sure you use correct notation. R N 1 M Q L P S Given: Q is the midpoint of MS; RQN @ NQP 1. Name three collinear points. 9. Name a pair of supplementary s that are not @. 2. Name three non-collinear points. 10. Name the vertex of 1. 3. Name two congruent segments. 11. Name the ray opposite to QN. 4. Name an angle bisector. 12. Name a pair of vertical angles. 5. Name a right angle. 13. Name a segment bisector. 6. Name a pair of adjacent angles. 14. Name three angles whose measures sum to 180. 7. Name a pair of @, supplementary s. 15. Name a line that contains point R. 8. Name a pair of complementary angles. 16. Name a segment that contains point N. Geometry/Trig 2 – Unit 1 Review – Station 2 F I. G A E D B C Name each of the following using the diagram above. Make sure you use correct notation. Set up equations to find each variable and value. Show all work. II. A 3. AB plane BCE. 4. Three collinear points. 5. Four non-coplanar points. 6. Three points that are coplanar, but are not collinear. 7. The plane that contains AD and point G. 8. Plane ABCD plane AFEB. C Given: B is the midpoint of AC, AB = 5x + 19 and BC = 10x - 16 1. Planes BEC plane ABCD 2. A plane that contains DE. B x = ______ AB = ______ BC = _____ AC = ______ III. D F G Given: DF = 7x + 5, FG = 12x + 8, and DG = 30x + 2 x = ______ DF = ______ FG = _____ DG = ______ Geometry/Trig 2 – Unit 1 Review – Station 3 Set up equations to find each variable and value. Show all work. Figures are not necessarily drawn to scale. I. A x = ______ mABD = ______ mDBC = _____ mABC = ______ II. x = ______ mEFG = ______ mGFH = _____ mEFH = ______ G D B E Given: mABD = 8x + 25 and mDBC = 7x + 5 C L III. I K F IV. M Given: mEFG = 4x, mGFH = 8x, and mEFH = 14x - 22 N H P R Q Given: mNPR = 4x + 32 and mRPQ = 5x + 40 J Given: mLKM = 6x + 1 and mJKI = 7x - 11 x = ______ mIKL = ______ mLKM = _____ mMKJ = ______ x = ______ mNPR = ______ mJKI = _____ mIKM = ______ mRPQ = _____ mNPQ = ______ Geometry/Trig 2 – Unit 1 Review – Station 4 True or False If False, make the statement true! 1.) Through any two points you can draw an infinite amount of lines. 2.) There is a finite amount of points on a line. 3.) There is a finite amount of points on a segment. 4.) Points that lie on the same plane are called collinear. 5.) If two planes intersect, then their intersection is a point. 6.) If two lines intersect, then their intersection is a plane. 7.) You can name a line with two or three letters. 8). If a plane and a line intersect, then their intersection is a point. ___ 1. JK ___ 2. JK Matching A. Segment JK B. Line JK ___ 3. JK C. Point J ___ 4. JK D. Ray JK ___ 5. J E. The length of segment JK Geometry/Trig 2 – Unit 1 Review – Station 5 Find the distance and midpoint given each pair of points. (Leave all distances as simplified square roots). 1) (3, -8) and (-5, 2) 2) (-3, 4) and (7, 8) Given AB with midpoint M, determine the coordinate of the indicated point. 1) A (4, -2) M (4, 4) B (x2, y2) A 2) A (x1, y1) M (5, 1) M B B (1, -3) HINT: It may help to plot the points on a piece of graph paper to visualize.