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CHAPTER 7 REVIEW: TRANSFORMATIONS

CHAPTER 7 REVIEW: TRANSFORMATIONS. #1). Does a regular hexagon have rotational symmetry? If so, list all angles of rotation. #2). How many lines of symmetry does a regular octagon have?. #3).

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CHAPTER 7 REVIEW: TRANSFORMATIONS

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  1. CHAPTER 7 REVIEW:TRANSFORMATIONS

  2. #1) • Does a regular hexagon have rotational symmetry? • If so, list all angles of rotation.

  3. #2) • How many lines of symmetry does a regular octagon have?

  4. #3) • Given A(8, -3), find the location of A’’’’’ after applying the following consecutive composition of transformations. • Reflect over x-axis • Translate along vector < -2, 0 > • Rotate 180° about origin • Reflect over x-axis • Translate along vector < 8 , -1 >

  5. #4) Given B(7 , 2) , find the location of B’’’’’ after the following consecutive composition of transformations. • Rotate 90° clockwise about origin • Reflect over x-axis • Rotate 90° counterclockwise about origin • Reflect over y-axis • Rotate 270° counterclockwise about origin

  6. #5) Given pre-image point at (a , b). Find the location of this point after applying the following consecutive composition of transformations. • Reflect over x-axis • Rotate 180° about origin • Reflect over y-axis • Rotate 90° counterclockwise about origin • Translate along vector < 0 , -7 >

  7. #6) • ΔABC→ ΔDEF by rotation of 180° about the origin. Given that A(-2 , 3) and B(1, -7) , find DE. Answer with a simplified radical.

  8. #7) ΔGHI →ΔG’H’I’ by reflection in the line given by x=-3. Given G(-7, 1) , H(-3, -2) , and I(1 , 4) , find the coordinates of G’, H’, and I’.

  9. #8) Given this isometry, solve for all given variables. w° (8y-6)° 18 101° 42° 3z (2x+19)°

  10. #9) • ΔABC is reflected in line m. The distance from B to line m is 6.5 cm. Find BB’.

  11. #10) Describe each transformation in coordinate notation. • Translation along vector < -6 , 0 > • Translation 3 units left and 4 units up • Translation 10 units down and 3 units right • Translate along < 0 , 8 >

  12. #11) Find the image of segment AB if it is rotated 90° counterclockwise about M. A L B C K D J • M E I F H G

  13. #12) ΔABC → ΔQRS by reflection in line m. If line m has the equation 2x + 5y = 16 , then find the slope of ?

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