Question

Plans for a new park call for gardens directly across the sidewalk from each other to be congruent. If the vertices of a tulip garden are located at (21, -y1), (х2, -у2), (х3, -уз), and (x4, -y4), will the tulip garden be congruent to the rose garden?

a) Yes, the tulip garden will be congruent to the rose garden.
b) No, the tulip garden will not be congruent to the rose garden.
c) It depends on the specific coordinates of the rose garden.
d) It depends on the dimensions of the rose and tulip gardens.
e) Insufficient information is provided to determine congruence.

Answer 1

The congruence of the tulip garden and rose garden depends on the coordinates of the rose garden.

Step-by-step explanation:

In order to determine if the tulip garden will be congruent to the rose garden, we need to compare the coordinates of the two gardens. Congruent means that the two figures have exactly the same size and shape. If the gardens are congruent, the corresponding vertices will have the same coordinates.

Since the tulip garden is described by the coordinates (x1, -y1), (x2, -y2), (x3, -y3), and (x4, -y4), we can compare these coordinates to the coordinates of the rose garden. If the corresponding vertices of the rose garden have the same coordinates, then the two gardens will be congruent.

Therefore, the answer to this question is (c) It depends on the specific coordinates of the rose garden.