Question

(from unit 2, lesson 2.)

1. describe some things you could notice in two polygons that would help you decide that they were not scaled copies.

(from unit 1, lesson 4.)
2 lesson 6 practice problems

Explanation:

• Corresponding angles: If the corresponding angles of two polygons are not equal, they can't be scaled copies. In scaled - copies (similar polygons), corresponding angles are congruent. For example, in a rectangle (all angles \(90^{\circ}\)) and a parallelogram (with angles other than \(90^{\circ}\)), they can't be scaled copies.
• Corresponding side - length ratios: Calculate the ratios of the lengths of corresponding sides. If these ratios are not all equal, the polygons are not scaled copies. Suppose one polygon has side lengths \(2,4,6\) and another has side lengths \(3,5,7\). The ratios \(\frac{2}{3}

eq\frac{4}{5}
eq\frac{6}{7}\), so they are not scaled copies.

• Shape irregularities: If one polygon has a concave side (an indentation) and the other has all convex sides (no indentations), they are not scaled copies. For instance, a regular pentagon (all convex sides) and a pentagon with one concave side are not scaled copies.

Answer:

Check corresponding angles (should be equal), corresponding side - length ratios (should be equal), and overall shape (e.g., convex/concave differences) to determine if two polygons are not scaled copies.