I need a two-column proof for symmetric property of angle congruence. I don’t know how to do that.
Sure! I can help you with that. The symmetric property of angle congruence states that if angle A is congruent to angle B, then angle B is also congruent to angle A.
To write a two-column proof for the symmetric property of angle congruence, you'll need to provide a diagram or description that includes the given information, and then systematically explain each step in the proof with a reason for each step.
Here's an example of a two-column proof for the symmetric property of angle congruence:
|Step|Statement|Reason|
|----|---------|------|
|1.|Angle A is congruent to Angle B.|Given|
|2.|Angle B is congruent to Angle A.|Symmetric Property of Equality (SPE)|
Explanation:
1. The given statement states that angle A is congruent to angle B. This is the given information for our proof.
2. By applying the symmetric property of angle congruence (SPE), we can conclude that if angle A is congruent to angle B, then angle B is also congruent to angle A. This completes the proof.
Remember, in a two-column proof, the Steps column lists the logical progression of statements, while the Reasons column provides justifications for each step based on the relevant postulates, theorems, or definitions.