1. **Problem Statement:** Create a Level 4 project demonstrating understanding of transformations and quadrilaterals. 2. **Transformations:** Level 4 requires at least 3 distinct types of transformations with increased difficulty such as lines of reflection not on x or y-axis, fractional scale factors, or creative strategies. 3. **Quadrilaterals:** Include at least 3 quadrilaterals: a rectangle (not aligned with axes) or rhombus, a kite or trapezoid, plus one additional quadrilateral of choice. Show work justifying diagonal properties. 4. **Step 1 - Choose Quadrilaterals:** - Rectangle rotated (not parallel to axes) - Rhombus - Trapezoid - Additional: Kite 5. **Step 2 - Define Coordinates:** - Rectangle vertices: $A(1,2), B(4,5), C(7,2), D(4,-1)$ (rotated) - Rhombus vertices: $E(0,0), F(3,2), G(6,0), H(3,-2)$ - Trapezoid vertices: $I(0,4), J(5,4), K(4,0), L(1,0)$ - Kite vertices: $M(2,3), N(4,5), O(6,3), P(4,1)$ 6. **Step 3 - Justify Diagonal Properties:** - Rectangle: diagonals equal and bisect each other - Rhombus: diagonals perpendicular and bisect each other - Trapezoid: diagonals not equal but intersect - Kite: one diagonal bisects the other at right angle 7. **Step 4 - Transformations:** - Reflection about line $y=x+1$ (not axis) - Rotation $90^\circ$ about point $(3,3)$ - Dilation with scale factor $\frac{1}{2}$ centered at origin 8. **Step 5 - Apply Transformations:** - Reflect rectangle vertices about $y=x+1$ using formula for reflection about $y=x+c$. - Rotate rhombus vertices $90^\circ$ about $(3,3)$ using rotation formulas. - Dilate trapezoid vertices by $\frac{1}{2}$ from origin. 9. **Step 6 - Label and Color Code:** - Use distinct colors for each quadrilateral and their transformed images. - Label vertices and transformations clearly with arrows and descriptions. 10. **Summary:** - Project includes 4 quadrilaterals with diagonal properties justified. - Includes 3 complex transformations with lines of reflection not on axes and fractional scale factor. - Work is organized, labeled, and color-coded for clarity. This meets all Level 4 criteria for transformations, quadrilaterals, and artistry.