Robin English Concept Card Not Trapezoids Special Cases of Trapezoids Trapezoid Figure 1 Isosceles Trapezoid Figure 2 Key CCoonncceepptt Q Quueessttiioonnss T Trraappeezzooiidd FFaaccttss Same Length A trapezoid is a four sided shape (quadrilateral) and has at least one pair of parallel sides (figures 1 & 2). It can be called an isosceles trapezoid (figure 2) if the sides that aren’t parallel are equal in length and angles from coming from a parallel side are equal (a=b & c=d). The two parallel lines are called bases and the two non parallel lines are called the legs (figure 2). All the interior angles of a trapezoid always add up to 360 degrees. The angles on the same leg of the trapezoid are called supplementary angles because they add up to 180 degrees. See the trapezoid model (figure 1) where angle NML and angle MLO equal 180 degrees. Same Angle Parallel Sides 180° 360° Angle Degrees Can you name the other shapes in the shaded box above? (rhombus, rectangle, circle, parallelogram, triangle, kite, square) If a four sided shape is also called a quadrilateral, which shapes are called quadrilaterals like the trapezoid? What other shapes have at least one pair of parallel lines? Which ones have two sets of parallel lines? What other shapes have equal angles coming from parallel sides? What shape(s) above has a total of 180 degrees? What shape(s) above also have 360 degrees? Why do you think there are special cases of trapezoids? What do those shapes have in common with a trapezoid? Why is there only one four sided shape that is not considered a special case of a trapezoid?
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