Answer the questions below regarding the problem situation created.

1. Find the measure of each segment of the pre-image. 2. Select a point and drag it. What happens to the measure of the segment? 3. When selecting points do the pre-image or image change size? 4. Find the measure of each segment of the image. 5. What is the relationship between the corresponding segment lengths of the pre-image and image? 6. What do you call this relationship? 7. a. Are the pre-image and image similar? b. What theorem or postulate proves the figures are similar?

Students need to create dilations from the instructions below.

1. Follow the steps below to construct the image. a. Find the midpoints of AB and AC. b. Connect A and the midpoints created in step 1 to create a triangle. c. What does the relationship in size appear to be between the pre-image and image? d. What can tool you use to find the actual relationship in size? Check with the teacher to make sure you are correct. e. Find the relationship in size between pre-image and image. Write all measurements found on paper, and show all work to support your answer. f. What is the answer found in step e called? Check with the teacher to make sure you are correct. g. Reset the problem situation when completed. 2. If there is time, follow the steps below to construct another image. a. Reflect point A across B. b. Reflect point A across C. c. Connect the new points created with point A to make a triangle. d. What does the relationship in size appear to be between the pre-image and image? e. What can tool you use to find the actual relationship in size? Check with the teacher to make sure you are correct. f. Find the relationship in size between pre-image and image. Write all measurements found on paper, and show all work to support your answer.