1. 6.6 Reasoning about Special Quadrilaterals

2. WARM UP

3. Objective:
Identify special quadrilaterals based on limited information.

4. Family of Fours

5. 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

6. 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

7. 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

8. 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

9. 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

10. 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

11. 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