We conclude that MN ≅ RS under the rule in which if a = b, and b = c; then automatically a = c.
What clearly does "triangle congruency" imply?
- Two triangles are said to be congruent if all three corresponding angles are equal and all three corresponding angles are equal in measure.
- These triangles can be moved, rotated, flipped, and turned to appear identical.
- If they are repositioned, they will coincide.
- If two triangles gratify the five congruence conditions, they are congruent.
- They are the side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), angle-angle-side (AAS), and right angle-hypotenuse-side (RHS).
So,
Given: MN ≅ PQ, PQ ≅RS
To Prove: MN ≅ RS
- There is a rule that states that:
- If a = b, and b = c; then automatically a = c.
This rule satisfies the above condition.
- If MN ≅ PQ and PQ ≅RS, then MN ≅ RS automatically.
Therefore, MN ≅ RS under the rule in which if a = b, and b = c; then automatically a = c.
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