# Congruent Triangles

### Example 1

Find the side lengths of ∆*ABC*. What kind of triangle is it: scalene, isosceles, or equilateral?

### Example 2

If a triangle was formed from the midpoints of each of the segments, what would be the side lengths and type of the new triangle?

### Example 3

∆*DEF* is an isosceles triangle on the coordinate plane. If *D* has the coordinates (-*a*, 0), what coordinates does *E* have?

### Example 4

What coordinates does *F* have?

### Example 5

If ∆*DEF* was given the coordinates *D* (-3, 0), E (0, ), and *F* (3, 0), what kind of triangle would ∆*DEF* be?

### Example 6

∆*JKL* has coordinates at *J* (0, 0), *K* (1, 3), and *L* (3, 1), while ∆*MNO* has coordinates at *M* (1, -3), *N* (2, -6), and *O* (-1, -5). Are the two triangles congruent?