1. CONGRUENCE AND TRANSFORMATIONS (GET GRAPH PAPER WHEN YOU ENTER CLASS) SECTION 4.4

2. Plot the following points on the coordinate plane: Label each point. A (0,3) B(2,4) C(-2,0) D(-3,-5) E(4,-2)

3. A transformation is a change in the position or size of a figure. Some transformations are: Translations (slides) Reflections (flips) Rotations (turns) Dilations (changes size)

4. An Isometry or rigid transformation is a transformation that preserves length, angle measure and area. The image is congruent to the pre-image. Translations, reflections, and rotations are all rigid transformations. The image is CONGRUENT to the pre-image. A dilation changes the image with a scale factor so this is not a rigid transformation. The image is SIMILAR to the pre-image.

6. IF YOU ENLARGE THE IMAGE, THE SCALE FACTOR IS GREATER THAN ONE. IF YOU REDUCE THE IMAGE, THE SCALE FACTOR IS LESS THAN ONE. DILATION

7. Apply the transformation M to the polygon with the given vertices. Then identify and describe the transformation. 1. M: (x,y) (x+2, y – 5) P(1,2), Q(4,4), R(4,2) 2. M: (x,y) (-x,y) A(1,1), B(3,2), C(3,5)

8. 3.M: (x,y) (-y,x) R(1,2), E(1,4), C(5,4), T(5,2) 4. M: (x,y) (2x,2y) K(-1,2), L(2,2), N(1,3)

9. Determine whether the figures are congruent. Then state the type of transformation and describe it. Give the rule. 1.A(1,1), B(4,1), C(4,3) vs. P(-4,2), Q(-1,2), R(-1,4) 2. A(2,2), B(-4,4), C(2,4) vs. P(3,3), Q(-6,6), R(3,6)

10. 3. A(2,-1), B(3,0), C(2,3) vs. P(1,2), Q(0,3), R(-3,2) 4. A(-2,-2), B(-4,-1), C(-1,-1) vs. T(2,2), U(4,1), V(1,1) 5. A(-4,4), B(-4,6), C(2,6), D(2,4) vs. W(-2,2), x(-2,3), Y(1,3), Z(1,2)

11. SECTION QUIZ 1.Can a scale factor rule multiply x and y by different numbers? 2..