a. Triangles ABC and CDE are called _ triangles.
b. The slope of the line AE can be written as _
c. This is a _ relationship.
a. Triangles ABC and CDE are called adjacent triangles.
b. The slope of the line AE can be written as m.
c. This is a linear relationship.
a. Triangles ABC and CDE are called similar triangles.
b. The slope of the line AE can be written as (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line AE.
c. This is a proportional relationship.
a. Triangles ABC and CDE are called similar triangles.
To determine if two triangles are similar, you need to compare their corresponding angles and side lengths. If their corresponding angles are equal and their corresponding side lengths are proportional, then the triangles are similar.
b. The slope of the line AE can be written as the change in y-coordinate divided by the change in x-coordinate.
To find the slope of a line, you need two points on the line. In this case, the two points are A and E. You can calculate the change in y-coordinate by subtracting the y-coordinate of point A from the y-coordinate of point E, and calculate the change in x-coordinate by subtracting the x-coordinate of point A from the x-coordinate of point E. Then, divide the change in y-coordinate by the change in x-coordinate to find the slope of the line AE.
c. This is a proportional relationship.
To determine if a relationship is proportional, you need to check if there is a constant ratio between the two variables. In a proportional relationship, as one variable increases or decreases, the other variable also increases or decreases at the same rate. To identify a proportional relationship, you can compare the values of the two variables and check if their ratios remain constant.