Question

how could you use parallel lines to compare figures n and m? explain your reasoning.

Explanation:

Parallel lines have the same slope. By drawing parallel - line segments along the sides of figures N and M, we can compare the lengths of corresponding sides. If the ratios of the lengths of corresponding sides formed by parallel - line segments are equal, the figures are similar. Also, we can use the fact that parallel lines and transversals create congruent corresponding angles. If the angles between the sides of the two figures are congruent (which can be determined by the parallel - line relationships), it provides more evidence for similarity or other geometric relationships between the figures.

Answer:

We can draw parallel - line segments along the sides of figures N and M to compare the lengths of corresponding sides and use the properties of parallel lines and transversals to check for congruent angles between the sides of the two figures to determine their geometric relationship (such as similarity).