Use this worksheet to investigate angle relationships formed when two non-parallel lines are cut by a transversal.

If two non-parallel lines are cut by a transversal:[br][br]1. Are corresponding angles congruent (have the same measure)?[br]2. Are alternate interior angles congruent?[br]3. Are alternate exterior angles congruent?[br]4. Are vertical angles congruent?[br]5. Are same-side interior angles supplementary (sum to 180 degrees)?[br]6. Are same-side exterior angles supplementary?

(a)　How many groups are there if 1 is divided into groups of:[br]　　(i) 1/2; 　(ii) 1/3;　(iii) 1/4;　(iv) 1/5?[br](b)　How many groups are there if 1 is divided into groups of:[br]　　(i) 2/5; 　(ii) 3/5;　(iii) 4/5;　(iv) 1/5?[br](c)　How many groups are there if 1 is divided into groups of:[br]　　(i) 1+1/3; 　(ii)1+2/5;　(iii) 1+3/4?[br][br]In general, how would you calculate 1 ÷ a/b?

Anthony Or. GeoGebra Institute of Hong Kong. (中文版：http://www.geogebratube.org/student/m14537)[br]orchiming@gmail.com