7.1 Classifying Quadrilaterals Warm-up (IN) Learning Objective: to identify quads by using their properties, recognizing the relationships between the diagonals and to use their properties in real-world applications True or False. If false, give a reason why. 1.A square is a regular parallelogram. 2. A rhombus is an equilateral parallelogram. 3. A parallelogram is a trapezoid. 4. A rectangle is an equiangular parallelogram. 5. If 2 lines are perpendicular, the product of their slopes is 1. T T F T F
Learning Objective: to identify quads by using their properties, recognizing the relationships between the diagonals and to use their properties in real-world applications Notes Name all of the types of quadrilaterals! Hint…there should be 6! Kite – A quad with 2 pairs of consecutive congruent sides
Ex 1 – Create a Venn Diagram using all 6 terms (include a sketch of each shape) Quads Kite trapezoid parallelogram rectangle rhombus square
Learning Objective: to identify quads by using their properties, recognizing the relationships between the diagonals and to use their properties in real-world applications Diagonals of a rhombus – Are perpendicular Diagonals of a rectangle – Are congruent
Learning Objective: to identify quads by using their properties, recognizing the relationships between the diagonals and to use their properties in real-world applications In a kite – One diagonal is a line of symmetry And it bisects the other diagonal perpendicularly Ex 1 – Given the kite with, PR=9 units and SR=6 units. Find SL. M S L P R
HW – p. 343 #6-9, Out – The diagonals of a convex quadrilateral form 4 triangles. In which quadrilaterals are the triangles right? Isosceles? Congruent? Explain! Summary – Today, I think… POW!!