…what you should have learned…

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## …what you should have learned…

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**Properties of Triangles**and Quadrilaterals …what you should have learned…**Investigation #1: Midpoints of Triangle Sides - Length**• ‘x’ is half the length of ‘y’ y x • ‘y’ is twice the length of ‘x’ • If ‘x’ is 6 cm long, ‘y’ is….. 12 cm • If ‘y’ is 32 m long, ‘x’ is….. 16 cm**y**x Investigation #2: Midpoints of Triangle Sides - Slopes the lines are parallel**Diagonals of Parallelograms**• the diagonals of parallelograms intersect at their midpoints.**Midpoints of Quadrilateral Sides**• when the midpoints of any quadrilateral are connected, the interior figure is always a parallelogram.**Verifying Properties of Geometric Figures**What does it mean to ‘verify’? Prove Give evidence**To verify…**• Draw a labeled diagram • Decide what properties you will need to show are true • Complete calculations • Make ‘therefore statements’ to conclude that the conditions for the specified figure are met.**#1 – parallelogram**• Opposite sides are parallel • Opposite sides are equal in length**#2 – right triangle**• Two sides are perpendicular (have negative reciprocal slopes)**#3 – rhombus**• Opposite sides are parallel • All sides are equal in length**#4 – rectangle**• Adjacent sides are perpendicular • Opposite side are equal in length