Question

assume these hexagons are similar. which changes will result in a pair of non - similar hexagons? doubling each side length in abcdef subtracting 1 from each side length in ghijkl adding 15 degrees to angles g, h, and i, and subtracting 15 degrees from angles j, k, and l reducing each side length in ghijkl by one - third of the original length adding 3 to each side length in ghijkl

Explanation:

Step1: Recall similarity rules

Two polygons are similar if their corresponding angles are equal and corresponding - side lengths are in proportion.

Step2: Analyze side - length changes

Doubling each side length in ABCDEF and adding 3 to each side length in GHIJKL will not keep the side - length ratios the same. For example, if the side - length ratio of two corresponding sides of the original similar hexagons is \(k\), after doubling one side and adding 3 to the other, the new ratio will be different from \(k\).

Step3: Analyze angle changes

Adding or subtracting the same number of degrees from angles of one hexagon while not doing the same to the other will change the angle - equality condition. Reducing each side length in GHIJKL by one - third and adding 15 degrees to angles G, H, I and subtracting 15 degrees from angles J, K, L will break the similarity.

Answer:

adding 3 to each side length in GHIJKL; doubling each side length in ABCDEF; reducing each side length in GHIJKL by one - third; adding 15 degrees to angles G, H, I and subtracting 15 degrees from angles J, K, L