# Congruence Exploration 2 - Reflections in Intersecting 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 any line

*DF*so that angle

*EDF*is less than or equal to 90 degrees. Reflect triangle

*A'B'C'*in line

*DF*to form triangle

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

**c. **Find the measure of angle *EDF*. Rotate triangle *ABC* counterclockwise about point *D* using an angle twice the measure of angle *EDF*.

**d. **Make a conjecture about the figure reflected in two intersecting lines. Test your conjecture by changing triangle *ABC* and the lines.

**f****. **From Exploration 1 and 2, what conjectures can you make about a figure reflected in two lines?