1.   Write the translation matrix for and its image
   
    A. B.
    C. D.
    Hint

  2.   What are the coordinates of the vertices of the image of rectangle HJKL with H(4, 1), J(-3, -2), K(2, -6), and L(-4, 5) after a reflection across the x-axis?
    A. H'(-4, –1), J'(3, 2), K'(-2, 6), L'(4, -5)
    B. H'(-4, 1), J'(3, -2), K'(-2, -6), L>'(4, 5)
    C. H'(-4, –1), J'(-3, -2), K'(-2, -6), L'(-4, -5)
    D. H'(4, –1), J'(-3, 2), K'(2, 6), L'(-4, -5)
    Hint

  3.   Which of the following is the correct rotation matrix for a rotation of 180°counterclockwise about the origin?
    A. B.
    C. D.
    Hint

  4.   Find the coordinates of the vertices of the image of a rectangle ABCD with A(4, -3), B(-3, 1), C(-7, -3), and D(5, 2) after a reflection across the line y = x.
    A. A'(-3, 4),B'(1, -3),C'(-3, -7),D'(2, 5)
    B. A'(-3, -4),B'(1, 3),C'(-3, 7),D'(2, -5)
    C. A'(3, 4),B'(-1, -3),C'(3, -7),D'(-2, 5)
    D. A'(-4, -3),B'(3, 1),C'(7, -3),D'(-5, 2)
    Hint

  5.   Find the coordinates of the vertices of the image of a triangle FGH with F(-4, 2), G(-3, -3), H(3,4) after it is rotated 270° counterclockwise about the origin.
    A. F'(2, -4), G'(-3, -3),H'(4, 3)
    B. F'(4, 2), G'(3, -3),H'(-3, 4)
    C. F'(-2, 4), G'(3, 3),H'(-4, -3)
    D. F'(2, 4), G'(-3, 3),H'(4, -3)
    Hint



Glencoe
The McGraw-Hill Companies