Question

A landscape architect recommends installing a triangular statue with vertices at (10, −10), (10, −8), and (7, −10). a. Is the triangle congruent to triangle T? Justify your answer. b. Propose a series of rigid motions that justifies your answer to part a.

a) The triangles are congruent; they share the same dimensions.
b) The triangles are not congruent; different shapes and sizes.
c) Yes, by translation and reflection.
d) No, there is no way to make them congruent.

Answer 1

The given information is insufficient to determine if the triangle is congruent to triangle T.

Step-by-step explanation:

Let's analyze the given information to determine if the triangle is congruent to triangle T:

The given coordinates for the vertices of the triangle are (10, -10), (10, -8), and (7, -10).

Triangle T is not described in the question, so we cannot determine if the triangles are congruent based on their dimensions alone. In order to determine the congruency, we need more information about triangle T.

Therefore, we cannot determine if the triangle is congruent to triangle T based on the given information.

b) Since we cannot determine the congruency of the triangles, we cannot propose a series of rigid motions to justify the answer.