10. Looking at the graph:
(3 points)
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 congruent triangles.
b. The slope of the line AE can be written as -2.
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 rise / run.
c. This is a proportional relationship.
To answer these questions, you need to analyze the given graph and identify the characteristics being described.
a. Triangles ABC and CDE are called identical triangles. To confirm this, locate two triangles that have the same shape and size. In this case, triangles ABC and CDE seem to be identical because they have the same angles and corresponding sides in the same proportion.
b. To find the slope of the line AE, you need to calculate the change in y-coordinates divided by the change in x-coordinates. First, identify two points on the line AE. Then, subtract the y-coordinates of these points and divide it by the corresponding difference in x-coordinates. For example, if one point on AE is (x1, y1) and another point is (x2, y2), the slope would be (y2 - y1) / (x2 - x1).
c. The word "relationship" can have various meanings depending on the context. In this case, without further information, it is difficult to determine the exact type of relationship being referred to. However, it could be a linear relationship if the graph represents a straight line, or it may indicate a correlation between variables if the graph has a specific pattern.