Question

determine if figure abcdef is congruent to ghijkl. abcdef is choose your answer... to ghijkl choose your answer... not congruent congruent

Explanation:

Step1: Check side - lengths

Use the distance formula $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$ to find side - lengths of both figures. For example, for side $AB$ in figure $ABCDEF$ with $A(-6,2)$ and $B(-5,2)$, $d_{AB}=\sqrt{(-5+6)^2+(2 - 2)^2}=1$. Do this for all sides of both figures. We find that corresponding sides have different lengths.

Step2: Check angles

Since side - lengths are different, we don't need to calculate angles. Congruent figures have equal side - lengths and equal angles.

Answer:

not congruent