Examine the graph. Triangles S T U & X Y Z with these points: S (0, 0); T (0, 2); U (negative 10, 2); X (5, negative 1); Y (5, negative 2); & Z (10, negative 2). A line goes through U, S, X, & Z.

If you want to show that the slope of the line passing through points U, S, X, and Z is constant, why is it important to know if △STU and △XYZ are similar?

Select the answer that is completely correct.

1 It's important to know if △STU and △XYZ are similar because the corresponding sides of similar triangles are proportional. That means that the measure of SU¯¯¯¯¯¯¯ can be shown to be equal to the measure of XZ¯¯¯¯¯¯¯¯.
2 It's important to know if △STU and △XYZ are similar because the corresponding sides of similar triangles are proportional. That means that the slope of SU¯¯¯¯¯¯¯ can be shown to be equal to the slope of XZ¯¯¯¯¯¯¯¯.
3 It's important to know if △STU and △XYZ are similar because the corresponding sides of similar triangles are equal. That means that the measure of SU¯¯¯¯¯¯¯ can be shown to be equal to the measure of XZ¯¯¯¯¯¯¯¯.
4 It's important to know if △STU and △XYZ are similar because the corresponding sides of similar triangles are equal. That means that the slope of SU¯¯¯¯¯¯¯ can be shown to be equal to the slope of XZ¯¯¯¯¯¯¯¯.