6.6 Reasoning about Special Quadrilaterals

Objective: Identify special quadrilaterals based on limited information.

Family of Fours

1) Determine whether the quadrilateral is a trapezoid, parallelogram, rectangle, rhombus, or square. EXPLAIN your reasoning. Piece of the diagonals are congruent.. Nothing about the sides Nothing about the angles So we cant classify this too specifically Must be a parallelogram

2) Determine whether the quadrilateral is a trapezoid, parallelogram, rectangle, rhombus, or square. EXPLAIN your reasoning. All sides are congruent No info about the angles square rectangle Must be a rhombus

3) Determine whether the quadrilateral is a trapezoid, parallelogram, rectangle, rhombus, or square. EXPLAIN your reasoning. The top angles and the bottom angles are supplementary, meaning the top and bottom are parallel No info about the side lengths Base angles are congruent Must be an isosceles trapezoid

4) Determine whether the quadrilateral is a trapezoid, parallelogram, rectangle, rhombus, or square. EXPLAIN your reasoning. Angles are all right angles (90 degrees) No info about the side lengths Must be a rectangle

5) Determine whether the quadrilateral is a trapezoid, parallelogram, rectangle, rhombus, or square. EXPLAIN your reasoning. All Angles are supplementary, meaning the top and bottom are parallel and the left and the right No info about the side lengths Must be a parallelogram

6) Determine whether the quadrilateral is a trapezoid, parallelogram, rectangle, rhombus, or square. EXPLAIN your reasoning. <L and <M are supplementary, meaning the top and bottom are parallel No info about the side lengths Must be a trapezoid

7) Which kinds of quadrilaterals can you form with four straws of the same length? You must attach the straws at their ends and cannot bend any of them. square rhombus parallelogram rectangle