Question

Plans for a new school call for classrooms directly across the hall from each other to be congruent. This computer printout shows a math classroom. If the vertices of a science classroom are located at (–3x1, yı).(-322, y2),(-3x3, 43), and (-324, ), will the science classroom be congruent to the math classroom? a) Yes b) No

Answer 1

It cannot be determined from the given information.

Option (c) is true.

Explanation:

To determine if the science classroom is congruent to the math classroom, we need to compare the corresponding sides and angles of the two polygons.

From the given information, we have the vertices of the science classroom as (-3x1, y1), (-322, y2), (-3x3, 43), and (-324, y4).

However, we do not have the values of y1 and y4, which makes it impossible to determine the lengths of the corresponding sides or the congruence of the polygons.

Therefore, based on the given information, we cannot determine if the science classroom is congruent to the math classroom.

Thus,

Option (c) is true.