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
On each page, use a different transformations to superpose an image of `triABC` on `triDEF`.
You can use the designated transformation tool and adjust the function rule to superpose the two triangles. You may find the construction tools useful in this process.
Press the New Case button for a new `triABC` and a new function rule (still using the same function family).
How can the construction tools make it easier to solve new cases?
2 Mystery 2: Choose the Function
On each page, you must first figure out what transformation connects the two triangles.
Then perform the necessary construction to superpose an image of `triABC` on `triDEF`.
Record the features you used, on each page, to identify the correct function to use.
3 Mystery 3: Match the Domain and Range
As you perform the activities in this lesson, you will:
The Fine Print