Question

Find the missing y-coordinate that makes the two triangles congruent.

Triangle ABC: A(8,4), B(2,6), C(5,0)
Triangle MNO: M(7,4), N(1,2), O(4, y)
(1 point)
Responses

4
4

−2
negative 2

0
0

−4

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine the missing y-coordinate of point O in triangle MNO, we need to find the y-coordinate that makes triangles ABC and MNO congruent.

Triangles are congruent if they have the same shape and size, and their corresponding sides and angles are equal. In this case, we can see that the x-coordinates of points A, B, and C in triangle ABC are shifted to the left by 1 unit in triangle MNO to get points M, N, and O.

Since the x-coordinates of M, N, and O have changed from A, B, and C, the y-coordinate of O must remain the same to maintain congruence. Therefore, the missing y-coordinate that makes the two triangles congruent is 0.

Therefore, the correct answer is 0.