Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

5. which conjecture is possible to prove? (lesson 2-5) a. all triangles…

Question

  1. which conjecture is possible to prove? (lesson 2-5) a. all triangles with at least one side length of 5 are congruent. b. all pentagons with at least one side length of 5 are congruent. c. all rectangles with at least one side length of 5 are congruent. d. all squares with at least one side length of 5 are congruent.

Explanation:

Brief Explanations

Congruent shapes have equal - side lengths and equal - angle measures. For squares, all sides are equal. If all squares have at least one side length of 5, then all their side lengths are 5 (since all sides of a square are equal), so they are congruent. Triangles, pentagons, and rectangles can have one side of length 5 while the other sides and angles vary, so they are not necessarily congruent.

Answer:

D. All squares with at least one side length of 5 are congruent.