Question

essay 14 points explain why or why not figure abcd is congruent to figure efgh.

Explanation:

Step1: Recall congruence definition

Two figures are congruent if they have the same shape and size, meaning corresponding sides and angles are equal.

Step2: Analyze side - lengths

We can use the grid to find the lengths of the sides of both figures. For example, using the distance formula (in a grid, we can count unit - lengths) for side AB and EF. If all corresponding sides are equal in length, it's a good start.

Step3: Analyze angles

We can use the slope of the sides to check if corresponding angles are equal. If the slopes of corresponding sides are the same, the angles between the sides are equal. If all corresponding sides and angles are equal, the figures are congruent.

Answer:

Without specific calculations of side - lengths and angle - measures from the grid, we can't definitively say. But if all corresponding side - lengths are equal and all corresponding angles are equal, then figure ABCD is congruent to figure EFGH; otherwise, it is not.