Triangles: Proving Similarity: Foliow-up Worksheet 11) Draw and measure two similar triangles as described in the bulleted directions. Then answer the questions below and state your conclusions. - Use a ruler to draw a triangle. [A right triangle is recommended. but any triangle may be used} - Then create another triangle by joining the midpoints of the three sides of the first triangle. The result is that the two triangles are similar. - Next. measure the corresponding sides of the similar triangles and calculate the scale factor. . Find the area at each triangle. a} Compare the area of the smaller triangle to larger triangle. What is the ratio of the areas? in) Compare the ratio of the areas to the scale factor ratio. What operation could you perform on the scale factor to determine the ratio of the areas? 6) Does this work for other triangles constructed in this manner? Justify your answer. Proving Two Triangles Similar ..................................................................................................... I- Write a two-column proof for this problem. 12} A 5 _ _ Given: ABIIDC Prove: Two triangtes similar D 0 Statement Reasons 1 1. 2 2