Do-Now Solve the following proportions. Is it possible to prove the lines parallel? If so, state a reason. 82° 98° 100° Main.

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Presentation transcript:

Do-Now Solve the following proportions. Is it possible to prove the lines parallel? If so, state a reason. 82° 98° 100° Main

Proving a Given Figure Rectangle Rhombus Trapezoid Parallelogram Right Triangle

1)Distance Formula to verify Pythagorean Theorem 2)Slope formula to show that 2 sides are perpendicular Main

Parallelogram 1)Distance formula to show both pairs of opp sides are congruent 2)Midpoint formula to show that diagonals bisect each other 3)Slope formula to show both pairs of opp sides are parallel 4)Slope formula to show one pair of opp sides parallel and distance formula to show these same sides congruent Main

Rectangle If it is already known that it is a parallelogram… 1)Distance formula to show diagonals congruent 2)Slope formula to show two consecutive sides perpendicular Once done, to prove a square…show all four sides are equal Main

Rhombus If it is already known that it is a parallelogram… 1)Distance formula to show all 4 sides congruent 2)Slope formula to show diagonals are perpendicular Once done, to prove a square…show consecutive sides perpendicular. Main

Trapezoid 1) Slope formula to show that only one pair of opposite sides are parallel and the other sides are not parallel. Main