- 1). Measure the sides and angles of the triangles using a protractor, a measuring tool used in geometry. Obtain as many measurements as possible.
- 2). Check if both triangles have three pairs of equal sides.
- 3). Check if both triangles share two equal sides with an equal angle between them.
- 4). Check if both triangles have any two angles and one side in common.
- 5). Check if both triangles are right triangles. Right triangles contain one 90 degree angle. If so, see if their hypotenuses (the longest side of the right triangle) and one leg are of equal length.
- 6). Decide if the triangles are congruent. If any of the possibilities in step 2-5 are true, the triangles are congruent.
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