Problem 3: Find the points on a circle of its octants with the circle centered at(5,5)and has a radius of 8 units. (with the aid of the table shows the result) Problem 4: Translate the triangleABChas vertices[A(−8,6),B(−8,9),C(−4,6)]+9units in thex-direction and−4in they-direction. (with the aid of the graph, show the result) Problem 5: Determine the coordinate of the vertices of triangleABC[A(−8,7),B(−3,7),C(−4,3)]after a counterclockwise rotation of180∘around the origin. (with the aid of the graph, show the result)

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A: The solution is given in the next steps for your reference.

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Any Pair Segment

A line segment is the part of a line that is represented by a connection of two end points. It encompasses both ends of the line, as well as all points in between. The length of a line cannot be measured, but the length of a segment can be measured. If a line segment is bounded by two end points, it is called a closed line segment, whereas an open line segment does not have both endpoints. A line segment with a single endpoint is called half-open. A closed line segment contains every point on the line that exists between the two end points. For example, if L is a line, then AB is a line segment of line L where A and B are endpoints of the line segment.