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Geo.6 Coordinate Geometry

I can prove triangles are congruent using coordinates.
I can reflect, rotate, and translate figures in the coordinate plane.

I can use coordinate transformation notation to take points in the plane as inputs and give other points as outputs.

I can determine whether a transformation produces congruent or similar images (or neither).

I can derive an equation for a circle in the coordinate plane.

I understand how squared binomials relate to the equation of a circle.

I can complete the square to find the center and radius of a circle.

I know that a parabola is the set of points equidistant from a given point and line.

I can derive an equation for a parabola in the coordinate plane given a focus and a directrix.

I can use the definition of slope to write the equation for a line in point-slope form.

I can prove that the slopes of parallel lines are equal.
I can use slopes of parallel lines to solve problems.

I can prove that the slopes of perpendicular lines are opposite reciprocals.
I can use slopes of perpendicular lines to solve problems.

I can gather information about a line and write its equation.

I can use a graph to find the intersection points of a line and a circle.

I can use coordinates of figures to prove geometric theorems.

I can calculate the coordinates of a point on a line segment that partitions the segment in a given ratio.

I can determine the point where the medians of a triangle intersect.

I can determine the point where the altitudes of a triangle intersect.