Geometry Chapters 7-9 Midterm Review

NAME DATE Geometry Chapters 7-9 Midterm Review 1. Quadrilateral JKLMsimilar ∼ quadrilateral WXYZ, JK = 15, LM = 10, XY = 6, and WX = 9. Find KL. y PERIOD old new 2. △LMN ∼ △RST, LN = 21, MN = 28, and the scale 4 factor of △RST to △LMN is 3 . Find ST. EI I ng M 10 I ST 28 94 1516 St 37.3 10 3. Identify the similar triangles, write a similarity statement and solve for x. LMN ABC 20 by AA similarity 20 1 28 4. Find CE. 10 5. Solve for x. 17 10 20 32.20 3 1 3 1 1 80 16133 4,8 10 6. AB is a midsegment. Solve for x. 12 4 sister 8 CE 25 AB 40 2 7. Use special right triangles to solve for x. 2 34 6 62 45 45 r 7 12 E 8852 2 4452 8. Use special right triangles to solve for x and y. 11.53 5,5 5 3 2 2 y 1053 15 Use Trig to solve #9-14: 9. A 60 7 SOH CAH TOA 10. 11. 0 H H 7 tan 36 7 Cosx Sin 63 S 3 X Law of Sines 12. 180 14,6 105 63 36.9 13.5 180 37 52 91 13. 23 sits 59nA s sina.si I.sin9 sik3 Eim3 s 14.3 s 43 2 14. A boat is 1000 meters from a cliff. If the angle of depression from the top of the cliff to the boat is 15°, how tall is the cliff? Round to the nearest tenth. digo Light 15. Find the coordinates of A(5, -2) after a reflection in the x-axis. x Als x y 2 y A 1000 tants 6 x 10001 zonam 16. How many lines of symmetry does a regular octagon have? 8 lines of symmetry 5,2 a b 18. X(5, -2) is translated by ⟨4, -3⟩, find X’. 17. Find the magnitude of rotation of the figure: a 390 720 5 4 Traer 2 19. A(-3, 2) is rotated 90° counterclockwise about the origin. Find A’. x AC 3 g g x Fs BC B y y 5 x 3 23. Which regular polygon has a magnitude of 120°? 3 order 3 3 A 6 3,0 E E a y reflection in E CD E'C 3 1 1 3 24. Trapezoid ABCD has vertices A(-2, 6), B(-2, 8), C(4, 3), and D(8, 3). Find the coordinates of C’ under the vector ⟨-4, 7⟩ and a rotation of 180° about the origin. C 4 4,3 triangle 25. Given B(3, -8), under which reflection is B’(-8, 3)? 5 22. The point E(-6, 0) is translated along the vector ⟨3, -1⟩ and then reflected in the y-axis. Find E’. C x 9 step G ge 21. The line segment 𝑅𝐵 with endpoints R(2, -3) and B(-3, 5) is rotated 270° clockwise about the origin. Find B’. x 2 3 20. Kylee scans a 4 inch pictures and stretches the length to 18 inches. Find the scale factor used. 21 3 A 2 ytb 0 C 7 0,10 10 26. A(-2, 7) is rotated 90° clockwise. What is A’? g x x y x Altit A y y 712 x