Can Marie draw a second triangle with different side lengths and the same angle measures

For Marie to draw a second triangle with different angle measures and the same side lengths, she can use the concept of the Side-Side-Side (SSS) congruence. This means that if the side lengths are the same, the angles formed will also be the same, creating a congruent triangle. Thus, she cannot create a triangle with different angle measures using the same side lengths.

To draw a second triangle with different side lengths and the same angle measures, Marie can use the Angle-Angle (AA) similarity rule. By maintaining the same angle measures but changing the ratios of the sides, she can create a similar triangle that has different lengths but preserves the angle measures.

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