Measure the sides of triangle [math]EFG[/math] (to the nearest mm).[br]
Your teacher will assign you a scale factor. Predict the relative lengths of the original figure and the image after you dilate by your scale factor.[br]
How does your prediction compare to the image you drew?[br]
Use tracing paper to copy point [math]C[/math], triangle [math]EFG[/math], and your dilation. Label your tracing paper with your scale factor.[br][br]Align your tracing paper with your partner’s. What do you notice?[br]
Dilate triangle [math]FEG[/math] using center [math]C[/math] and scale factor [math]\frac{1}{2}[/math].
Dilate triangle [math]FEG[/math] using center [math]C[/math] and scale factor [math]2[/math].
What scale factors would cause some part of triangle [math]E'F'G'[/math] to intersect some part of triangle [math]EFG[/math]?[br]
What do you notice? Can you prove your conjecture?[br]
What do you notice? Does the same reasoning you just used also prove this conjecture?[br]