Follow steps and questions below for this problem situation.

1. Create a segment connecting each pair of corresponding vertices. 2. Find the midpoint of each segment. 3. Draw a line connecting all the midpoints. What would you call this line in relation to the pre-image and image? 4. If you move the pre-image Triangle ABC, what happens to the line created in Step 3? 5. If you move the pre-image so it overlaps the image, does the line still pass through the midpoints? What if you have the images switch sides? 6. When moving the pre-image or image does the size change? Does the shape itself change? 7. Measure the angles created by the segments and the line created in Step 3. What do you find? 8. What other name could you give the line created in Step 3 in relation to the special segments?

Using knowledge from the first reflection activity, reflect the pre-image across the line of reflection. Note: Their may be tools you do not have to use in this activity.

1. What is the relationship between the line of reflection and the segments connected to the corresponding vertices of the pre-image and image? 2. Follow the steps to construct the image: a. Construct perpendicular lines from vertex A of the pre-image to the line of reflection. b. Construct the point of intersection of the two lines. This should be named Point D. c. Draw a line segment connecting Vertex A and Point D. You should see the measure of the line segment in the Algebra View on the left. 3. What is Point D in relation to the line segment AA'? 4. Consider the tools you have not used. What do you still need to draw to construct A'? a. After constructing A', check with your teacher to make sure you are correct. b. If you are correct, repeat Steps 2A-4A for the other two vertices. 5. Make a polygon. a. Check with your teacher to make sure you are correct. b. If given the ok, delete the object and change the line of reflection. c. Repeat the process.