8.5 use properties of trapezoids and kites...8.5 use properties of trapezoids and kites + trapezoid:...
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8.5 Use Properties of Trapezoids and Kites
+Trapezoid: quadrilateral with exactly one pair of parallel sides.
Two pairs of base angles: A and D & B and C
**Find the slopes of RS and OT. Are they the same? If so, they are parallel.
Slope of RS: 1/2Slope of OR: 1/2
Angle K = 85Angle M and J are congruent because it’s isosceles.M = J = 95
+Midsegment of a trapezoid: segment that connects the midpoints of the legs
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MN = (28 + 12)/2 = 40/2 = 20
3. yes, the diagonals are congruent4. Yes, EFG is 70 by consecutive interior angles
J K
LM
N P
9cm
12 cm
90
90
To find ML : (9 + x) / 2 = 12ML = x = 15
x
+Kite: Quadrilateral that has two pairs of consecutive congruent sides, but opposite sides are not congruent
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Since angle E and G are not congruent, D and F must be congruent.
2x + 124 + 80 = 360Angle D = Angle F = X = 78
3x + 75 + 90 + 120 = 360
X = 2575 degrees is the measure of the angles that are congruent
Find the missing side lengths. Leave your answers in simplest radical form
+P. 546 (3-27, odd)