Triangle PQR with vertices P(-2,3),Q(2,4),R(1,-1) in the line x=-3
I assume you mean a reflection.
P is 1 unit to the right of x = -3
so P' will be 1 unit to the left, at (-4,3)
do the same for Q and R
Answer
To find out if the triangle PQR lies on the line x = -3, we need to check if all the vertices of the triangle have x-coordinate equal to -3.
Let's go step by step:
1. Coordinates of vertex P are P(-2,3). The x-coordinate of P is -2, which is not equal to -3. Therefore, P is not on the line x = -3.
2. Coordinates of vertex Q are Q(2,4). The x-coordinate of Q is 2, which is not equal to -3. Hence, Q is also not on the line x = -3.
3. Coordinates of vertex R are R(1,-1). The x-coordinate of R is 1, which is not equal to -3. Therefore, R is not on the line x = -3.
Since none of the vertices of the triangle have an x-coordinate equal to -3, we can conclude that the triangle PQR does not lie on the line x = -3.