To form different triangle types, change the length of one or two segments in Part II. For scalene triangles, make all sides unequal. For equilateral triangles, make all sides equal. For isosceles triangles, make two sides equal or two angles opposite equal sides equal.
Part III: Changing Segment Lengths to Form Different Triangle Types
To form a scalene triangle, change the length of at least one of the segments to create unequal lengths for all three sides. For example, you could change the length of AB to 7 units, BC to 10 units, and AC to 13 units.
To form an equilateral triangle, all three sides must have equal lengths. So, you would need to change the length of one or two segments to make them the same length as the other two. For example, you could change the length of AB to 14 units, making all three sides equal.
To form an isosceles triangle, either two of the sides must have equal lengths, or the two angles opposite those sides must have equal measures. For example, you could change the length of AB to 14 units and the length of AC to 12 units, or you could change the angle measures opposite AB and AC to be equal.
By varying the lengths of the segments in Part II, you can create different triangle types and explore the properties that define each type.