Using the given coordinates, calculate the length of the triangle's three sides.
No, they are not congruent.
Practice makes perfect
Let's start by drawing the two triangles on a coordinate plane.
According to the Side-Side-Side Congruence Theorem, if three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent. To compare the sides, we should first find their lengths.
Vertical and Horizontal Sides
To find the lengths of the vertical and horizontal sides, we can check the changes in the x- and y-values between the vertices.
We can see that the lengths of the vertical sides are both 5, so they are congruent. However, it is not the case for the horizontal sides. The length of BC is 5, while the length of EF is 4. This means not all the corresponding sides are congruent. Therefore, the triangles are not congruent.
