Download Notes - Traps and Kites

Sec 6.4 and 6.5 notes.notebook
Sec. 6.5 – Trapezoids and Kites
• Trapezoids ‐ a quadrilateral with exactly one pair of parallel sides, referred to as bases
Trapezoid
• Isosceles Trapezoid ‐ a trapezoid with congruent legs
• Trapezoid Theorems
If a trapezoid is isosceles then:
‐ each pair of base angles is congruent ‐ the diagonals are congruent.
Isosceles trapezoid
Sec 6.4 and 6.5 notes.notebook
Examples:
If the length of WY = 3x + 8, and the length of XZ = 6x ­ 4, find x.
(Trapezoids connued)
Midsegment – the segment that connects the midpoints of the legs.
Midsegment Theorem: The midsegment of a trapezoid is parallel to each base and its length is one half the sum of the lengths of the bases (the average of the bases)
Sec 6.4 and 6.5 notes.notebook
Triangle Midsegment – the segment that connects the midpoints of 2 sides of a triangle.
Midsegment Theorem: The midsegment of a triangle is parallel to the third side and half as long as the third side.
Find the length of RT.
R
T
16
Find x, given the length of the midsegment.
Sec 6.4 and 6.5 notes.notebook
The midsegment of the trapezoid has length 10 cm. Find x.
2x
10
6x ­ 4
Kite: quad that has two pairs of consecuve congruent sides, but opposite sides are not congruent.
Kite Theorems:
• exactly one pair of opposite angles is congruent.
• diagonals are perpendicular.
Sec 6.4 and 6.5 notes.notebook
Find the length of the sides of the kite.
Find the perimeter and area of the kite.