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?