9.3.4.4 Use coordinate geometry to represent and analyze line segments and polygons, including determining lengths, midpoints and slopes of line segments.

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Presentation transcript:

Use coordinate geometry to represent and analyze line segments and polygons, including determining lengths, midpoints and slopes of line segments.

Guiding Question: How can we identify different shapes in the coordinate plane? Name the different types of triangles What is different about them? Name different types of quadrilaterals What is different about each of them? If 2 lines have the same slope, what does that mean? If 2 lines have a slope that multiplies to (-1), what does that mean?

Guiding Question: How can we identify different shapes in the coordinate plane? Determine this type of triangle How about this one? A (3, 7), B( -6, 1) & C(5, -1) 1. Find slopes (any perpendicular?) 2. Find Distances to see if any are equal. A (4, -2), B( 5, 5) & C (-1, 3) What type of triangle is this?

Guiding Question: How can we identify different shapes in the coordinate plane? Remember the quadrilaterals and what makes each one different Remember diagonals, and which have segments that are perpendicular.

Guiding Question: How can we identify different shapes in the coordinate plane? Determine which type of shape this is. A (-2, -1), B (-1, 3), C(9, 0) & D( 10, 4) Find slopes Find distances Find Midpoints Sketch the graph to help you if you can. Determine the type of quadrilateral described by the vertices J(–2, 6), K(1, 2), L(6, 2), and M(3, 6). Show the steps of your solution.

Guiding Question: How can we identify different shapes in the coordinate plane? Assignment: Shapes in the coordinate plane Worksheet.