options: Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.

Find the point on a directed line segment between two given points that partitions the segment in a given ratio.

Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, Ö3) lies on the circle centered at the origin and containing the point (0, 2).

Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).
problem_activity: Task
Three unit squares and two line segments connecting two pairs of
vertices are shown. What is the area of $\triangle ABC$?
[IMG]


correct_option_index: 2

3