Name: Geometry Mid-Term 1. Which of the following is NOT an isometric transformation? A) Reflection B) Dilation C) Rotation D) Translation 2. Complete the chart. Transformation Does every point move the same distance? Does the pre-image and image have the same orientation? Rotation YES OR NO YES OR NO Reflection YES OR NO YES OR NO Translation YES OR NO YES OR NO Is it possible that a point can be its own image? Where is that point if it can? 3. Determine the smallest positive angle of rotation that would perform the same rotation as the given one. a) R0,220 R0,_______ b) R0,800 R0,_______ Perform the following on the grid. 4) c) R0,540 R0,_______ A 4 D RM ,90 ( NOPQ) C 2 5) RF ,180 (GHI ) H E 6) rAB (CDE ) 7) T 3,2 (JKL) M O B 10 5 I G N J K 5 2 F Q 4 L 6 P Name: 8. If two triangles are congruent, then: A) they have the same side lengths the other B) isometric transformation(s) map one onto C) they have the same angle D) all of the above are true 9. The given pairs of triangles are congruent. Complete the congruence statements. D D * B x ° ° ° C x N C ° E * H E * * * x B a) BCD _________ b) TSG _________ c) DBC _________ 10 and 11. Are the following pairs of triangles congruent? If they are, then name their congruence criteria. (SSS, SAS, ASA, AAS, HL or AS1S2 (S2 > S1)) a) Yes / No __________ b) Yes / No __________ c) Yes / No __________ d) Yes / No __________ X o o X e) Yes / No __________ o o x x f) Yes / No __________ g) Yes / No __________ h) Yes / No __________ Name: 12. GIVEN: E D B E & EA BA A B C PROVE: EAD BAC STATEMENT REASON Circle whether the following are (T)rue or (F)alse. 13. a) m1 + m11 = 180 T or F b) m2 + m5 = 180 T or F c) m10 + m13 = 180 T or F d) m6 + m11 = 180 T or F 14. e) 10 13 T or F f) 1 8 T or F g) 5 10 T or F h) 11 12 T or F 17. Create the quadrilateral flow chart. Match the following. 1. 2. 3. 4. 5. 6. 7. Corresponding Angles Alternate Interior Angles Alternate Exterior Angles Same Side Interior Angles Same Side Exterior Angles Vertical Angles Linear Pair of Angle 15a) ______ 2 & 12 15b) ______ 7 & 15 15c) ______ 5 & 6 16a) ______ 9 & 16 16b) ______ 13 & 12 16c) ______ 7 & 13 Name: 18. Is a rhombus a square (always, sometimes, or never)? Explain. 19. Construct an isosceles and equilateral triangle. 20. Construct ¼ of the following segment. ____________________________________________________________ Bonus: What is your favorite subject (geometry)? Name: