Unit 8 Connecting Algebra and Geometry
Lesson 1
Learning Focus
Find the distance between two points in the coordinate plane.
Find the perimeter of a geometric figure in the coordinate plane.
Lesson Summary
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.
Lesson 2
Learning Focus
Locate the midpoint of a segment and a point that divides the segment in a given ratio.
Lesson Summary
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.
Lesson 3
Learning Focus
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.
Lesson Summary
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.
Lesson 4
Learning Focus
Prove quadrilaterals are parallelograms, rectangles, rhombi, or squares using coordinates.
Find the perimeter and area of a quadrilateral on the coordinate plane.
Lesson Summary
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