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The two triangles are similar because the simplified ratio of the vertical height to the horizontal length for both triangles is .
The two triangles are similar because the simplified ratio of the vertical height to the horizontal length for both triangles is .

The two triangles are neither similar nor congruent because the corresponding vertical and horizontal distances are not equal.
The two triangles are neither similar nor congruent because the corresponding vertical and horizontal distances are not equal.

The two triangles are congruent because the hypotenuses of both triangles lie on the same line.
The two triangles are congruent because the hypotenuses of both triangles lie on the same line.

The slopes of the hypotenuses of the two triangles are not equal since the triangles are not congruent.
The slopes of the hypotenuses of the two triangles are not equal since the triangles are not congruent.
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The two triangles are similar because the simplified ratio of the vertical height to the horizontal length for both triangles is the same.