To determine which statement is false about the triangles, we need to analyze the characteristics of the triangles in question. However, as I do not have a visual representation of the triangles, I'll outline how each statement can be evaluated:
A. The triangles are congruent. - Two triangles are congruent if they have the same shape and size, meaning all corresponding sides and angles are equal.
B. The triangles are similar. - Triangles are similar if they have the same shape but may differ in size, meaning their corresponding angles are equal, and their sides are in proportion.
C. The triangles are proportional. - This typically refers to the sides of the triangles having a consistent ratio, which would be true for similar triangles.
D. Both are right triangles. - This means that both triangles have one angle that is exactly 90 degrees.
To determine which statement is false, you would need to check the following:
- Are all sides and angles of the triangles equal?
- Are the angles of the triangles equal but sides in proportion?
- Are the sides proportional while not being equal?
- Do both triangles contain a right angle?
If you know the characteristics of the triangles or can provide specific details (such as angles or side lengths), that information would help identify which statement is false.
If one triangle is not the same size as the other, statement A would be false; if they have the same angles but different side lengths, statement A would be false, but statement B would be true; and if one or both are not right triangles, statement D would be false.
In summary, without the graph, you should analyze these statements based on the properties of triangles depicted to find the false statement.