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WARM UP:

WARM UP:. Describe in words how to rotate a figure 90 degrees clockwise. Honors Geometry Unit 2 Review. 1. Use the given figure and line of reflection to draw the reflected image. Use a ruler. Label all points. 2. Graph the figure and its image under the given reflection.

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WARM UP:

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  1. WARM UP: Describe in words how to rotate a figure 90 degrees clockwise.

  2. Honors GeometryUnit 2 Review

  3. 1. Use the given figure and line of reflection to draw the reflected image. Use a ruler. Label all points.

  4. 2. Graph the figure and its image under the given reflection. • Triangle ABC: A(-3, 2), B(0, 1), C(-2, -3) • Line y = x

  5. 3. Use the figure and translation vector to draw a translated image. Label all points. Use a ruler.

  6. 4. Graph each figure and its image along the given vector. • Quadrilateral LMNP • L(4, 2), M(4, -1), • N(0, -1), P(1, 4) • <-4, -3>

  7. 5. Which matrix calculation was used to transform to A. B. C. D.

  8. 6. Graph each figure and its image after the specified rotation about the origin. • Triangle DEF • D(-4, 3), • E(1, 2), • F(-3, -3) • 180°

  9. 7. Triangle ABC has vertices A(1, 3), B(-2,-1) and C(3, -2) Graph the triangle and its image after the given glide reflection. • Translation • along <2, 0> • Reflection • across y axis

  10. 8. Does the figure appear to have line symmetry? If so, draw all lines of symmetry.

  11. 9. If with vertices D(-2, 6) F(2, 8) G(2, 3) is rotated 180° about the origin. Which matrix would be the vertex matrix for ? • B. • C. D.

  12. 10. has vertices J(0, 3) K(-2, -1) and L(-6, 1). When is reflected over the line x = -4, what are the coordinates of L’? A. (-2, 1) B. (6, 1) C. (-10, 1) D. (6, -1)

  13. 11. Using matrices, find the coordinates of the vertices of the image of QRST after reflection across y = x. Graph both. • Q(3, 2) • R(4, -3) • S(-3, -4) • T(-2, 1)

  14. 12. Using matrices, find the image of DEFG if it is translated 1 unit left and 4 units up. Graph both. • D(-4, -2) • E(0, -1) • F(2, -4) • G(-2, -5)

  15. 13. Using matrices, find the image of triangle VWX after it is rotated 270° about the origin. Graph both. • V(3, 2) • W(4, 1) • X(2, 1)

  16. 14. The vertex matrix for triangle XYZ isTriangle X’Y’Z’ is produced by translating 3 units right and 5 units down. What is the vertex matrix for triangle X’Y’Z’ ? A. B. C. D.

  17. 15. If ABCD is reflected across the x axis, which rule describes the transformation? • (x’, y’) = (y, x) • (x’, y’) = (-y, x) • (x’, y’) = (x, -y) • (x’, y’) = (-x, y)

  18. 16. has vertices J(2, 2) K(3, 5) and L(6, 2). The triangle is translated along the vector <-1, -6> and reflected over the y axis. Which matrix represents the coordinates of • B. • C. D.

  19. 17. It is translated 2 units left and 5 units up. Then it is translated 6 units right and 6 units down. Which operation finds the correct coordinates of ? A B. C. D.

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