Quadrilateral PQRS with P(-5, 1), Q(-2,6), R(3, 7), and S(6, 4); R = 6

Geometry Unit 4 - Transformations Review

For each problem below:

a)  Write the vertex matrix for the given figure AND its transformed image

b)  Write the algebraic (arrow) rule for each transformation

c)  If the problem has a “*” next to it, graph the original image AND the transformed image on graph paper

1. rMNO with M(-5,2), N(0, 4), and O(4, 5); translate left 6 and down 2.

2. Quadrilateral PQRS with P(-5, 1), Q(-2,6), R(3, 7), and S(6, 4); r = 6

3. Pentagon PENTA with P(0, 2), E(4,6), N(8, -1), T(6, -3), and A(2, -4); reflect across y-axis.

*4. rRST with R(7,4), S(5,-3), and T(2, 6); reflected across the y = x axis.

5. rFGH with F(-6,8), G(-3,-1), and H(0, 4); reflected across the x-axis, then reflected across the y-axis.

6. Rectangle ABCD with A(0,0), B(0,4), C(5,4), and D(5,0); rotate 90° clockwise.

*7. rXYZ with X(-2, 2), Y(4, 2), and Z(1, -5); rotate 180° clockwise.

8. Pentagon MNOPQ with M(-4, 1), N(-2, 3), O(0, 3), P(4, 3), and Q(2, -7); rotate 90° counterclockwise, then dilate by r = 4.

9. rMNO with M(-5,2), N(0, 4), and O(4, 5); translate up 6.

10. Quadrilateral PQRS with P(-5, 1), Q(-2,6), R(3, 7), and S(6, 4); r = ½

*18. Translate ∆ABC A(3, 6), B(4,2), C(5, 6) right 4 and up 3 units. Then reflect the triangle across the y-axis.

20. You are given ∆ABC with A(1,4) B(-6,-2) C(4, -3). What rule transforms the triangle to give you the points A’(1, -4) B’(-6, 2) C’(4,3)? What type of transformation is it?

21. You are given pentagon JAROD with J(2, 0) A(4,2) R(6,0) O(6, -2) D(2,-2). What rule transforms the pentagon to the points J’(0,-2) A’(2, -4) R’(0, -6) O’(-2, -6) D’(-2, -2)? What type of transformation is it?

24. Perform these transformations in order on quad ABCD.

A( -1, 1) B(0, 5) C(1, 2) D( 1, -1)

- (x, y) ¦ (3x, 3y)

- (x, y) ¦ (y, x)

- (x, y) ¦ (-x, -y)

What are the final coordinates?