Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1:I'll solve this step by step:
Step 2:: Understand the symmetric property of congruence
The symmetric property states that if one triangle is congruent to another, then the second triangle is also congruent to the first.
Step 3:: Analyze the given options
A. This statement is about transitivity, not symmetry B. This statement is incorrect and does not describe symmetry C. This is a reflexive property (a triangle is congruent to itself) D. This statement directly describes the symmetric property
Step 4:: Verify the symmetric property
The symmetric property means that if $$\triangle EFG \cong \triangle HJK$$, then it must also be true that $$\triangle HJK \cong \triangle EFG
Step 5:: Identify the correct answer
Option D perfectly captures the symmetric property of congruence.
Final Answer
If \triangle EFG \cong \triangle HJK, then \triangle HJK \cong \triangle EFG. The symmetric property ensures that congruence is a symmetric relation, meaning the order of the triangles does not matter when stating their congruence.
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students