Find Coordinates of Point C Given Points A and B

Published on August 6, 2024

Question

What are the coordinates of point C?

Answer

Let’s break this down:
  1. Understand the information: We know point A is at (1,1) and line segment AB has a length of 2 units. Line segment BC has a length of 1 unit. We also see that BC is perfectly vertical.
  2. Find the x-coordinate of B and C: Since AB is a horizontal line and A is at (1,1), point B must also have an x-coordinate of 1 + 2 = 3. Point C is directly above B, so it also has an x-coordinate of 3.
  3. Find the y-coordinate of B and C: Since AB is horizontal, point B has the same y-coordinate as point A, which is 1. Point C is 1 unit above B, so its y-coordinate is 1 + 1 = 2.
Therefore, the coordinates of point C are (3, 2).
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