# Congruence Exploration 1 - Reflections in Parallel Lines

- Author:
- Vincent Tran

- Topic:
- Congruence, Reflection

## Work with a partner.

**Draw a scalene triangle and label it triangle**Draw any line

*ABC*. a.*DE*. Reflect triangle

*ABC*in line

*DE*to form triangle

*A'B'C'*.

**b.**Draw a line parallel to line

*DE*. Reflect triangle

*A'B'C'*in the new line to form triangle

*A''B''C''*.

**c. **Draw the line through point *A* that is perpendicular to line *DE*. What do you notice?

**d. **Find the distance between points *A* and *A''*. Find the distance between the two parallel lines. What do you notice?

**e. **Hide triangle *A'B'C'*. Is there a single transformation that maps triangle *ABC* to triangle *A''B''C''*? Explain.

**f****. **Make conjecture (a statement that is true) based on your answers in parts (c)-(e). Test your conjectures by changing triangle *ABC* and the parallel lines.