1.1+Stretching+a+Figure

26/10/08 AM Math 7e

**A:** **Use the method described on the previous page (page 6) to enlarge the figure on Labsheets 1.1 and 1.2.**

 * __Enlarged Figure:__**



B: **Compare each original figure to the enlarged image you made. Make a detailed list about what is the same and what is different about them. Be sure to consider:**

 * **the lengths of the line segments**
 * **the areas**
 * **the angles**
 * **the general shape of the figure**

After measuring both the original and enlarged figure, some things that I found that are still the same are the: same corresponding angles and that they have the same exact measurements and, the general, basic shape is still the same. Some things that I found were different from the original figure to the enlarged figure were: the side lengths had changed and become double the side lengths of the original figure, the area of the enlarged figure was 4 times the area of the original figure, so basically you could fit 4 of the original figures into an enlarged figure.

Class Notes on the enlargement of a figure: **__What stays the same and What changes?__**


 * ==What is still the same? (after the enlargement)== || ==What is different? (after the enlargement)== ||
 * The same general shape || The side lengths change ( they are doubled) ||
 * The same corresponding angles || The area changes (it is quadrupled, so you can fit four of the original figures in the enlarged figure.) ||

**1) Name each pair of corresponding angles in triangles ABC and A'B'C'.**
__**Corresponding Sides-**__ side AB corresponds to side A' B', side BC corresponds to side B' C' and side AC corresponds to side A' C'.

__**Corresponding Angles-**__ angle A corresponds to angle A', angle B corresponds to angle B' and angle C corresponds to angle C'.


 * b. Predict what would happen if you moved the anchor point up or down and further away from triangle ABC and then used your stretcher to enlarge it. Test your prediction by choosing a new anchor point and enlarging the triangle. Is your prediction correct?**

__**Prediction:**__ I think if I move my anchor point down and further away from triangle ABC, my enlarged triangle will be further away from triangle ABC and that the enlarged triangle will be moved up. __**Answer:**__ My prediction was partly correct. The triangle did move up but the distance between triangle ABC and the enlarged triangle (with the anchor point moved) didn't have that much of a difference. It was pretty much the same. (The enlarged triangle is on the image above drawn from anchor point 2)

__**Answer:**__ My prediction was partly correct. The enlarged triangle did move closer to triangle ABC but the size was still the same, it wasn't any smaller. ( The enlarged triangle is on the image above drawn from anchor point 3)
 * c. Predict what would happen if you moved the anchor point up or down and closer to triangle ABC and then used your stretcher to enlarge it. Test your prediction. Is it correct?**
 * __Prediction:__** If I move the anchor point up and closer to triangle ABC, I think the enlarged triangle will be smaller and there will be a small distance between triangle ABC and the enlarged triangle.