# Geo.6 Coordinate Geometry

### Lesson 1

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

### Lesson 2

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

### Lesson 3

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

### Lesson 4

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

### Lesson 5

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

### Lesson 6

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

### Lesson 7

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

### Lesson 8

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

### Lesson 9

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

### Lesson 10

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

### Lesson 11

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

### Lesson 12

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

### Lesson 13

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

### Lesson 14

• I can use coordinates of figures to prove geometric theorems.

### Lesson 15

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

### Lesson 16

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

### Lesson 17

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