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**Refer to the Module Two Activity Lesson for specific directions**

Step 1: Translations and SSS

Identify and label three points on the coordinate plane that are a translation of the original triangle.

Next, use the coordinates of your translation 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.

Video: How to find the distance of two points

Show work for distance formulas here:

Step 2: Reflections and ASA

Identify and label three points on the coordinate plane that are a reflection of the original triangle.

Next, 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.

Show all work here with the distance formula for the corresponding pair of sides and your work for the corresponding angles:

Step 3: Rotations and SAS

-Identify and label three points on the coordinate plane that are a rotation of the original triangle.

-Next, 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 (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