Question

your challenge
tangram is an ancient chinese puzzle. the puzzle has seven pieces called tans that are arranged to form a given shape. identify a single rigid transformation that maps each tan onto its image in quadrant i to form the square shape shown.
tan a: example: rotate 90 degrees clockwise around the origin.
tan b:
tan c:
tan d:
tan e:
tan f:
tan g:

Explanation:

Step1: Analyze Tan B

By observing the orientation and position change, we can see that Tan B needs to be rotated 90 degrees counter - clockwise around the origin.

Step2: Analyze Tan C

Tan C needs to be reflected over the y - axis.

Step3: Analyze Tan D

Tan D needs to be translated 4 units to the right and 6 units up.

Step4: Analyze Tan E

Tan E needs to be rotated 180 degrees around the origin.

Step5: Analyze Tan F

Tan F needs to be translated 2 units to the right and 4 units up and then rotated 90 degrees counter - clockwise around its new center.

Step6: Analyze Tan G

Tan G needs to be reflected over the x - axis and then translated 6 units to the right and 8 units up.

Answer:

Tan B: rotate 90 degrees counter - clockwise around the origin.
Tan C: reflect over the y - axis.
Tan D: translate 4 units to the right and 6 units up.
Tan E: rotate 180 degrees around the origin.
Tan F: translate 2 units to the right and 4 units up and then rotate 90 degrees counter - clockwise around its new center.
Tan G: reflect over the x - axis and then translate 6 units to the right and 8 units up.