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**6.7 Polygons in the Coordinate Plane**

Formulas and the coordinate plane Distance formula To determine whether sides are congruent. To determine if diagonals are congruent. Midpoint formula To determine the coordinates of the midpoint of a side. To determine whether diagonals bisect each other. Slope formula To determine whether opposite sides are parallel. To determine whether diagonals are perpendicular. To determine whether sides are perpendicular.

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**Classifying a Triangle**

Is triangle ABC scalene, isosceles, or equilateral.

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**Classifying a Triangle**

ABC is an isosceles triangle.

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**Classifying a Parallelogram**

Is parallelogram ABCD a rhombus? Explain. Since the slopes are not opposite reciprocals, the diagonals are not perpendicular. Therefore, ABCD is not a rhombus.

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**Classifying a Quadrilateral**

A kite is shown. What is the most precise classification of the quadrilateral formed by connecting the midpoints of the sides of the kite?

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**Opposite sides are congruent**

Opposite sides are congruent. Sides are vertical and horizontal, making them perpendicular. Therefore, ABCD is a rectangle.

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More Practice!!!!! Homework – Textbook p. 403 #5 – 16 ALL.

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