Transcript Trapezoids

Trapezoids
By: Anna Wang, Shaina Varughese, Paola
Saavedra
Interesting facts
The area of the trapezoid is equal to the average of the bases
times the height. So, you add the two bases, divide by 2, and
then multiply by the height. This would be:
area = ((b1 + b2) / 2)h
• The geometric centroid lies on the median between the two
parallel sides at a distance
• The median of a trapezoid is the line segment that connects
the midpoints of the 2 nonparallel sides of the trapezoid (the
legs).
Definition of a Trapezoid
• A quadrilateral with
exactly one pair of parallel
sides.
• The isosceles trapezoid is a
trapezoid whose
nonparallel opposite sides
are congruent.
Parts of a Trapezoid
• Two angles that share a base of a trapezoid are the
base angles of the trapezoid.
• Base Angles
• Base Angles
Theorem 6-15
• Theorem:
• The base angles of an isosceles trapezoid are
congruent.
Angle Y and K are congruent.
K
Y
Theorem 6-16
• The diagonals of an isosceles trapezoid are congruent.
• Line AB is congruent to line DC.
A
D
C
B