Answer:
A. (7, -5)
Step-by-step explanation:
The given coordinates of the vertices of ΔPQT are;
P(-2, 5), Q(-2, 1) and T(-5, 1)
The length of the side TQ = 3 units
The length of the side PQ = 4 units
Therefore, the length of the side PT = √(3² + 4²) = 5
The coordinates of the line segment AB = A(1, 3), B(1, -5)
Therefore, using a scale factor of 2, where the sides PQ and AB are corresponding sides, we have;
Where BC is the corresponding side to the TQ on ΔPQT, we have;
The length of BC = 2 × The length of TQ = 2 × 3 units = 6 units (distant from B along the x-axis)
Therefore, the possible points for the point C are;
C(1 - 6, -5) or C(1 + 6, -5)
C(-5, -5) or C(7, -5)
Therefore, the correct option is option A. C(7, -5).
