Name: Date: ` Score : 8.G.2. Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a se y a sequence of rotations, reflections and rotations. 8.G.3. Describe the effect of dilations, translations, rotations, and reflections on two- dimensional figures using coord Steps: (for each step, use the trapezoid that resulted from the step prion) . 1. Graph the trapezoid A(-9,5) B(-5,5) C(-2,8) D(-12,8). (pencil) 2. Translate the trapezoid (x +14, y). (red) 3. Reflect the red-trapezoid over the x- axis. (blue) 4. Reflect the blue trapezoid over the Y-axis. (yellow) > You should have four trapezoids on your coordinate plane. If you translated the yellow trapezoid up 13 units and then reflected it over the y-axis, would the vertices of the red trapezoid match up with the vertices of the transformed one? Yes or no Yes? Explain how you know? 5. Translate the yellow trapezoid up 16 units. (green) 6. Reflect the green trapezoid over the y- axis. (orange) > You should have six trapezoids graphed at this point. If you reflected the orange trapezoid over the line y = 8, would the vertices of the red triangle match up with the vertices of the reflected trapezoid? Yes orno yes ? Explain how you know? 7. Translate the orange trapezoid (x, y - 16) and reflect it overy = 18. (pink) 8. Reflect the pink trapezoid over the X - axis so that the new image coordinates are A' (-5,-1 1), B' (-9, -11), C'(-12, -8), D' (-2,-8). (purple) > You should have 8 trapezoids graphed on your coordinate plane. Describe a :. sequence of. transformations and/or reflections that would cause the Yerises...... trapezoid? of the blue trapezoid to line up with the vertices of the green