8.5 Notes: Kites and Trapezoids
Trapezoid Vocabulary:
Trapezoid:
Leg:
Base:
Isosceles Trapezoid:
Right Trapezoid:
Example 1: Find the missing angle measurements:
Example 3: If JN = 10.6 and NL=14.8, find KM.
Example 2: Find the missing angle measurements.
Example 2: If KM=12x - 11 and
JL = 9x-2, find x.
Example 4-5: Find the value of a that would prove the following is an isosceles trapezoid.
Trapezoid Midsegment Theorem
•
Segment that connects the midpoints of the legs.
• The midsegment is equal to half the sum of the base lengths.
Example 6: Find the length of the midsegment:
Find x:
Find the length of the missing base:
Kites
•
•
•
Two pairs of consecutive congruent sides.
One pair of opposite angles are congruent.
Diagonals are perpendicular.
Parallelogram
Figure with four sides
Angles add to 360
degrees
All ∠s are ≅
Both pairs of opposite
∠s are ≅
Only one pair of
opposite ∠s are ≅
All sides are ≅
Both pairs of opposite
sides are ≅
Both pairs of opposite
sides are ||
Only one pair of
opposite sides are ||
Diagonals are ⊥
Diagonals are ≅
Diagonals bisect angles
at vertex
Diagonals bisect each
other
Rectangle
Rhombus
Square
Kite
Trapezoid
Isosceles
Trapezoid