PLEASE HELP M Step 1: Pick a Transformation
You have been asked by the police to find one of the three locations the Acute Perps gang is likely to hit in the coming weeks. Because the gang sticks to a triangular pattern, the locations could be a translation, reflection, or rotation of the original triangle. Choose one of the following scenarios to help locate the gang:
Obtuse Scalene Triangle Translation to prove SSS Congruence
Isosceles Right Triangle Reflection to prove ASA Congruence
Equilateral Equiangular Triangle Rotation to prove SAS Congruence
After you have selected the one transformation you will be completing, go to step 2 for detailed directions.
STEP 2: If you chose Obtuse Scalene Triangle Translation to prove SSS Congruence, use the coordinates of your transformation along with the distance formula to show that the two triangles are congruent by the SSS postulate. You must show all work with the distance formula and each corresponding pair of sides to receive full credit.
If you chose Isosceles Right Triangle Reflection to prove ASA Congruence, use the coordinates of your reflection to show that the two triangles are congruent by the ASA postulate. You can use the distance formula to show congruency for the sides. To show an angle is congruent to a corresponding angle, you can use slope or your compass and straightedge. (Hint: Remember when you learned how to copy an angle?) You must show all work with the distance formula for the corresponding pair of sides and your work for the corresponding angles to receive full credit.
If you chose Equilateral Equiangular Triangle Rotation to prove SAS Congruence, use the coordinates of your rotation to show that the two triangles are congruent by the SAS postulate. You can use the distance formula to show congruency for the sides. To show an angle is congruent to a corresponding angle, you can use slope or your compass and straightedge. You must show all work with the distance formula for the corresponding pair of sides and your work for the corresponding angles to receive full credit. You must submit the construction of the original triangle and your transformation. You may create this graph using graphing technology. You may also print and use graph paper.