What is a Trapezoid?
It is a quadrilateral with EXACTLY 1 pair
of parallel sides.
The parallel sides are bases.
It has 2 pairs of base angles.
The nonparallel sides are the legs.
If the legs of a trapezoid are congruent,
then the trapezoid is an isosceles
Theorems you should know about
TRAPEZOIDS (found on page 356):
If a trapezoid is isosceles, then each pair of base
angles is congruent.
If a trapezoid has a pair of congruent base
angles, then it is an isosceles trapezoid.
A trapezoid is isosceles if and only if its diagonals
Midsegment of a Trapezoid:
-It is the segment that connects the
midpoints of its legs.
- Theorem (pg.357): The midsegment
of a trapezoid is parallel to each base
and its length is ½ the sum of the
lengths of the bases.
HEY GEOMETRY STUDENTS:
WE WANT YOU TO
A manufacture wants you to create
a traditional 3’ tall x 2’ wide kite.
You must use a piece of
construction paper to make a scale
model kite for the company.
KITE MAKING RULES:
You MUST show the
actual measurements for the sides
and angles of your kite.
You may use a ruler, protractor,
scissors, pencil, and construction
It must be a kite, not a rhombus!
• Colorize and design your kite,
put a tail on it, and any other
necessary features you think
will make your chances better
for the company to want your
scale model kite.
What must get done:
Use a piece of construction paper to
make a scale model of a 3’ tall x 2’
MUST show actual measurements of
angles and sides.
Extra Credit: Design, colorize, put a tail on your kite,
and any necessary features.
What we learned
To be a KITE means:
It is a quadrilateral.
It has 2 pairs of consecutive congruent sides
The opposite sides are NOT congruent.
(pg.358 – Theorem 6.18): “If a quadrilateral is a
kite, then its diagonals are perpendicular.”
(pg.358 – Theorem 6.19): “If a
quadrilateral is a kite, then exactly 1 pair
of opposite angles are congruent.”
What is the difference between
a trapezoid and a kite?
– A trapezoid is a quadrilateral with
EXACTLY 1 pair of parallel sides.
– A kite is a quadrilateral that has 2
pairs of consecutive congruent sides,
but opposite sides are NOT
Pg 360: 28-33
Pg 376: 14-19
Finish kite for Extra credit.