IM Geo.3.3 Lesson: Measuring Dilations
Dilate triangle FGH using center C and a scale factor of 3.
Here is a center of dilation and a triangle.
Measure the sides of triangle (to the nearest mm).
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.
Dilate triangle EFG using center C and your scale factor.
How does your prediction compare to the image you drew?
Use tracing paper to copy point , triangle , and your dilation. Label your tracing paper with your scale factor. Align your tracing paper with your partner’s. What do you notice?
Here is the triangle FEG.
Dilate triangle using center and scale factor .
Dilate triangle using center and scale factor .
What scale factors would cause some part of triangle to intersect some part of triangle ?
Dilate quadrilateral ABCD using center P and your scale factor.
Complete the table.
What do you notice? Can you prove your conjecture?
Complete the table.
What do you notice? Does the same reasoning you just used also prove this conjecture?