Part A
Create a random triangle, ABC. Measure and record its angles.
Part B
Record the measures of the angles of DEF. Take a screenshot of your results, save it, and insert the image below the table.
Part C
Compare the shapes and angle measures of ABC and DEF.
Part D
Find the ratio, n, between the length of side DE and length of the corresponding side AB.
Part E
Dilate ABC centered at the origin using the scale factor n from part D.
Part F
What can you conclude about ABC and DEF based on their side lengths and angle measures? Explain why there must be a sequence of rigid transformations that will map ABC exactly onto DEF. Describe one such sequence of rigid transformations.
Part G
Use your data about ABC and DEF to explain whether it is enough to say that the triangles are similar if they have two pairs of corresponding angle measures that are equal.
