Warm-Up: Problem of the Day Find the distance between P(3, 16) and Q(7, 4) Is this line segment parallel, perpendicular, or neither compared to y = ⅓x.

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Presentation transcript:

Warm-Up: Problem of the Day Find the distance between P(3, 16) and Q(7, 4) Is this line segment parallel, perpendicular, or neither compared to y = ⅓x + 4?

Classifying Shapes on a Coordinate Plane Learning Goal: I can use the characteristics of slope and side lengths to verify shapes on a coordinate plane.

Classifying Shapes Classifying Triangles – By side length (scalene, isosceles, equilateral) – By slope of adjoining sides (right, non-right) Classifying Quadrilaterals – By side length and slope of adjoining/opposite sides How could you prove a triangle is isosceles? How could you prove a quadrilateral is a rectangle?

Example 1 The vertices P(6, 36), Q(-30, 9), R(-12, -15), and S((24, 12) mark out the corners of a building site. Prove that these coordinates will create a rectangular building site.

Example 2 A triangle has vertices D(-7, 0), E(2, 1), and F(-3, 5). Prove that triangle DEF is an isosceles right triangle.

Homework Complete handout: Definitions/Properties (triangle  trapezoid) – Use ‘key ideas’ pg. 178 and glossary Pg. 182 # 1ace, 2ab, 3, 4, 5, 8, 9ab

Classifying Shapes Practice - 1 A quadrilateral has vertices W(-3, 2), X(2,4), Y(6, -1), Z(1, -3) – Find the length and slope of each side of the quadrilateral – Based on your calculations, what type of quadrilateral is WXYZ?

Classifying Shapes Practice - 2 Determine the type of triangle described by the set of vertices A(2, 4), B(5, -5), C(-4, -2)

Homework Pg. 183 # 11ace, 13ace, 14, 18