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HIGHLIGHT FINAL WORK!!! Name_________________ Period ______ Geometry Chapter 4 Test Practice 3. Write a rule to describe the translation. Target 4-1 1. Write the translation rule both as a transformation rule and in vector form. Then draw the vector that represents the transformation from Point A to A’. 5 units to the right, 4 units up Translation: x, y Translation: x, y , > 4. Are translations rigid motions? Justify your answer. , , , > 2. Find the coordinates and graph the vertices of the image of ABCD for the transformation. Target 4-2 Find the coordinates and graph the vertices of the image for each transformation. (Question 5-6) 5. Reflection of ABCD in the y-axis Translation: (x , y) → (x + 4, y - 3) Aʹ( , ) Bʹ( , ) Cʹ( , ) Dʹ( , ) Aʹ( , ) Bʹ( , ) Cʹ( , ) Dʹ( , ) 6. Reflection of IJKL in the x-axis Highlight the line of symmetry and write a rule to describe the reflection. 8. Reflection: In the _________________. Iʹ( , ) Jʹ( , ) Kʹ( , ) Lʹ( , ) 9. 7. Given points B(-2, -3), A(0, -1), T(3, -1) graph BAT and its image after the glide reflection. Translation: x, y x, y 2 Reflection: in the line x 1 Reflection: In the _________________. 10. Identify the line symmetry (if any) of the words CIVIC and CHECKBOOK? Bʹ( , ) Aʹ( , ) Tʹ( , ) Bʹʹ( , ) Aʹʹ( , ) Tʹʹ( ) , 11. Are reflections rigid motions? Justify your answer. Target 4-3 12. Determine whether the figure has rotational symmetry. If so, describe any rotations that map the figure onto itself. a) Target 4-4 17. Dilate triangle PIE ,P(1, 2), I(3, 1), E(-1, -1) about the origin with a scale factor of 4. Dilation: x, y 4 x, 4 y , b) P( Pʹ( I( Iʹ( E( Eʹ( 13. Rotation: 270º counter-clockwise about the origin. x, y y, x A( Aʹ( B( Bʹ( C( Cʹ( ) ) ) ) ) ) 18. Dilate triangle BAT B(-4, 4),A(12, 4),T(-8, -4) 3 about the origin with a scale factor of . 4 3 3 x, y x, y , 4 4 14. Rotation: 180º about the origin. x, y x, y A( Aʹ( B( Bʹ( C( Cʹ( B( Bʹ( A( Aʹ( T( Tʹ( ) ) ) ) ) ) 15. Write a rule to describe the rotation. Rotation: ________ about the origin. ) ) ) ) ) ) Write a rule to describe each dilation: 19. 16. Are rotations rigid motions? Justify your answer. Dilation: x, y (_________________) ) ) ) ) ) ) 20. 23. ABCDAʹBʹCʹDʹ Dilation: x, y (_________________) 21. Are dilations rigid motions? Justify your answer. Target 4-5 State whether the transformation appears to be congruent or similar. Also determine which composition of transformations occured. (Question 22-23) 22. Black pre image grey image. 24. ABC has m A 70 and mB 50. DEF has mD 50 and mF 60. Your partner concludes that the triangles are not similar. Do you agree or disagree? Why?