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

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Presentation transcript:

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. Triangle ABC: A(-3, 2), B(0, 1), C(-2, -3) Line y = x

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

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)

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

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°

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 Reflection across y axis

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

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 ? A. B. C. D.

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)

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)

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)

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)

14. The vertex matrix for triangle XYZ is Triangle 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.

15. If ABCD is reflected across the x axis, which rule describes the transformation? A.(x’, y’) = (y, x) B.(x’, y’) = (-y, x) C.(x’, y’) = (x, -y) D.(x’, y’) = (-x, y)

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

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 ? AB. C. D.