Geometry/Trig 2 – Unit 1 Review – Station 1

1. Geometry/Trig 2 – Unit 1 Review – Station 1 Use the diagram to name each. Make sure you use correct notation. R N 1 M P Q S Given: Q is the midpoint of MS; ÐRQN @ÐNQP L 1. Name three collinear points. 9. Name a pair of supplementary Ðs that are not @. 2. Name three non-collinear points. 10. Name the vertex of Ð1. 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 Ðs. 15. Name a line that contains point R. 8. Name a pair of complementary angles. 16. Name a segment that contains point N.

2. Geometry/Trig 2 – Unit 1 Review – Station 2 F I. Set up equations to find each variable and value. Show all work. G E II. A D A B C Given: B is the midpoint of AC, AB = 5x + 19 and BC = 10x - 16 B C Name each of the following using the diagram above. Make sure you use correct notation. 1. Planes BEC Ç plane ABCD 2. A plane that contains DE. 3. AB Ç 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 Ç plane AFEB. x = ______ AB = ______ BC = _____ AC = ______ III. D F G Given: DF = 7x + 5, FG = 12x + 8, and DG = 30x + 2 x = ______ DF = ______ FG = _____ DG = ______

3. 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. II. x = ______ mÐEFG = ______ mÐGFH = _____ mÐEFH = ______ x = ______ mÐABD = ______ mÐDBC = _____ mÐABC = ______ A G Given: mÐEFG = 4x, mÐGFH = 8x, and mÐEFH = 14x - 22 D E Given: mÐABD = 8x + 25 and mÐDBC = 7x + 5 B C F H L III. IV. N P Q I K M Given: mÐNPR = 4x + 32 and mÐRPQ = 5x + 40 R Given: mÐLKM = 6x + 1 and mÐJKI = 7x - 11 J x = ______ mÐIKL = ______ mÐLKM = _____ mÐMKJ = ______ mÐJKI = _____ mÐIKM = ______ x = ______ mÐNPR = ______ mÐRPQ = _____ mÐNPQ = ______

4. Geometry/Trig 2 – Unit 1 Review – Station 4 Angle Fill In True or False 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. D F C Q G B H Given: mÐCQB = 73; mÐCQD = 18 Complete: 1) ÐCQB @ Ð____ 7) mÐCQG = ____ 2) ÐCQD @ Ð____ 8) mÐHQF = ____ 3) ÐBQG @ Ð____ 9) mÐBQG = ____ 4) mÐDQF = ____ 10) mÐGQF = ___ 5) mÐHQG = ____ 11) mÐHQC = ___ 6) mÐBQD = ____ 12) mÐBQH = ___ Matching ___ 1. JK ___ 2. JK ___ 3. JK ___ 4. JK ___ 5. J A. Segment JK B. Line JK C. Point J D. Ray JK E. The length of segment JK

5. 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) 2) A (x1, y1) M (5, 1) B (1, -3) M B A HINT: It may help to plot the points on a piece of graph paper to visualize.