Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Two polygons are similar if their corresponding angles are

A. congruent and their corresponding sides are congruent.
B. congruent and their corresponding sides are proportional.
C. proportional and their corresponding sides are congruent.
D. proportional and their corresponding sides are proportional.

Please select the best answer from the choices provided.

Sagot :

GinnyAnswer
To determine if two polygons are similar, we need to check two main properties:

1. Corresponding Angles:
- The corresponding angles of the two polygons must be congruent. This means that each angle in one polygon must be equal to the corresponding angle in the other polygon.

2. Corresponding Sides:
- The corresponding sides of the two polygons must be proportional. This indicates that the ratios of the lengths of corresponding sides are equal.

Given these properties, let's evaluate the choices provided:

- Choice A: Congruent... congruent
- Corresponding angles are congruent.
- Corresponding sides are congruent.
- This choice suggests both angles and sides are congruent, which defines congruent polygons, not similar polygons.

- Choice B: Congruent... proportional
- Corresponding angles are congruent.
- Corresponding sides are proportional.
- This defines similar polygons correctly!

- Choice C: Proportional... congruent
- Corresponding angles are proportional.
- Corresponding sides are congruent.
- This does not make sense in the context of similarity as angles cannot be proportional (they are either equal or not).

- Choice D: Proportional... proportional
- Corresponding angles are proportional.
- Corresponding sides are proportional.
- This choice is incorrect since angles being proportional is not a valid criterion; angles must be congruent (equal).

Based on the correct criteria for similarity of polygons, the best answer from the choices provided is:

B. Congruent... proportional
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.