Mystery Transformations

In each mystery you are given two triangles that are related by a function belonging to one of five function families: rotate, reflect, translate, glide reflect, or dilate. Your task is use one of the tools to construct an image of triABC and then adjust your function (by adjusting the center, mirror, vector, angle, of scale factor) to demonstrate that the two triangles are congruent or similar.

Mystery 1: Each page tells you what function family to use. Your task is to apply that function to triABC and then adjust your function so that triA'B'C' lies directly on top of triDEF.

Mystery 2: On each page you have to decide which function family to use before you apply your function to triABC and adjust it to superpose triA'B'C' on triDEF.

Mystery 3: The function tools give you only an independent and dependent variable. On each page you have to choose the function family, restrict x to triABC as its domain, and adjust your function so that the range is triDEF.

1 Mystery 1: Demonstrate Congruence or Similarity

2 Mystery 2: Choose the Function

3 Mystery 3: Match the Domain and Range