Congruent Triangles Notes and Worksheets - Lindsay Bowden - Free Printable

- Congruent: same shape, same size
- Congruent Triangles: triangles that have 3 pairs of congruent corresponding sides and 3 pairs of congruent corresponding angles
- *Reminder: Corresponding means* matching parts

- $\overline{AB} \cong$ $\overline{DE}$
- $\overline{BC} \cong$ $\overline{EF}$
- $\overline{CA} \cong$ $\overline{FD}$
- $\angle A \cong$ $\angle D$
- $\angle B \cong$ $\angle E$
- $\angle C \cong$ $\angle F$
- Therefore, $\triangle ABC \cong \triangle$ DEF

Examples:

1.
- $\overline{JK} \cong$ $\overline{MO}$
- $\overline{ON} \cong$ $\overline{LJ}$
- $\overline{MO} \cong$ $\overline{JK}$
- $\angle O \cong$ $\angle J$
- $\angle K \cong$ $\angle M$
- $\angle M \cong$ $\angle K$

2. $\triangle QRS \cong \triangle XYZ$
- Therefore...
- $\overline{QR} \cong$ $\overline{XY}$
- $\overline{RS} \cong$ $\overline{YZ}$
- $\overline{ZX} \cong$ $\overline{SQ}$
- $\angle Q \cong$ $\angle X$
- $\angle Y \cong$ $\angle R$
- $\angle XZY \cong$ $\angle SQR$