Answer: To determine if two figures are similar, we need to check if they have the same shape but possibly different sizes. Two figures are considered similar if their corresponding angles are equal and their corresponding sides are proportional.
Explanation:
To show the work, we need to compare the corresponding angles and sides of the figures in question.
Here are the steps to determine if the figures are similar:
1. Identify corresponding angles: Look for angles in one figure that have the same position or location as angles in the other figure. Compare these corresponding angles.
2. Check if the corresponding angles are equal: If the corresponding angles in both figures are equal, it suggests that the figures have the same shape.
3. Identify corresponding sides: Look for sides in one figure that are in the same position or location as sides in the other figure. Compare these corresponding sides.
4. Check if the corresponding sides are proportional: To determine if the corresponding sides are proportional, divide the length of one side in one figure by the length of the corresponding side in the other figure. Repeat this for each pair of corresponding sides. If the ratios are equal, then the sides are proportional.
If the corresponding angles are equal and the corresponding sides are proportional, then the figures are similar. If any corresponding angles are not equal or the corresponding sides are not proportional, then the figures are not similar.
Remember to show your work by comparing the corresponding angles and sides in both figures.