Unit 8 Connecting Algebra and Geometry
Find the distance between two points in the coordinate plane.
Find the perimeter of a geometric figure in the coordinate plane.
In this lesson, we learned to find the distance between two points. We used the Pythagorean theorem to develop a formula that could be used whenever we need to find the length of a segment between two points. The formula can be applied to find the length of the sides of a geometric figure in the coordinate plane to calculate the perimeter.
Locate the midpoint of a segment and a point that divides the segment in a given ratio.
In this lesson, we examined strategies for dividing a line segment into two parts that fit a given ratio. One common application of this concept is to find the coordinates of the midpoint of a segment, given the coordinates of the endpoints.
Recognize parallel and perpendicular lines in a coordinate plane.
Write the equation of a line parallel or perpendicular to a given line through a given point.
In this lesson, we learned criteria for determining if two lines in a coordinate plane are parallel or perpendicular. We also learned how to write equations of lines parallel or perpendicular to a given line through a given point.
Prove quadrilaterals are parallelograms, rectangles, rhombi, or squares using coordinates.
Find the perimeter and area of a quadrilateral on the coordinate plane.
In this lesson, we used the distance formula, the midpoint rule, and the properties of slopes of parallel and perpendicular lines to determine if a given set of