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TrapezoidsSec: 8.6
Sol: G.8 a, b, c
Foldable
* Fold over the fourth cut section and write Trapeziod on the outside.* Reopen the fold.
1. Opposite angles are congruent.
2. Consecutive angles are supplementary.
3. Opposite sides are congruent.
4. Diagonals bisect each other.
5. Diagonals make 2 congruent triangles.
1.Is a special type of parallelogram.
2. Has 4 right angles
3. Diagonals are congruent.
1. Is A Special type of Parallelogram
2. Has 4 Congruent sides
3. Diagonals are perpendicular.
4. Diagonals bisect opposite angles
1. Is a parallelogram, rectangle, and rhombus
2. 4 congruent sides and 4 congruent (right) angles
Foldable
* On the left hand section, draw a trapezoid.
1. Opposite angles are congruent.
2. Consecutive angles are supplementary.
3. Opposite sides are congruent.
4. Diagonals bisect each other.
5. Diagonals make 2 congruent triangles.
* On the right hand side, list all of the properties of a trapezoid.
1.Is a special type of parallelogram.
2. Has 4 right angles
3. Diagonals are congruent.
1. Is A Special type of Parallelogram
2. Has 4 Congruent sides
3. Diagonals are perpendicular.
4. Diagonals bisect opposite angles
1. Is a parallelogram, rectangle, and rhombus
2. 4 congruent sides and 4 congruent (right) angles
1. 1. Is a quadrilateral with exactly onepair of parallel sides.
2. There are two pairs of bases angles.
A trapezoid is a quadrilateral with exactly __________ pair of _____________________ sides.
Example:
The parallel sides are called _______________.The nonparallel sides are called ________________.In a trapezoid there are two pairs of
_________________ angles.
B
E
C
D
In a trapezoid, ONLY one pair of
opposite sides can be parallel. If
both pairs of opposite sides are
parallel, the quadrilateral is a
________parallelogram_____.
one
parallel
Bases
Legs
Base
Base
Base
Leg LegBase Angles
If the legs of a trapezoid are congruent, then the trapezoid is an _________ trapezoid.
Example:
Isosceles
RK
D O
According to the property
above, which two sides are
congruent?
________ and ________
Label the picture
appropriately.
Theorem 8.18 : Both pairs of base angles of an isosceles trapezoid are Congruent.
Theorem 8.19 : The diagonals of an isosceles trapezoid are Congruent.
RK
D OAccording to the property above,
which two pairs of angles are
congruent?
________ ________
________ ________
Label the picture appropriately.
RK
D O According to the property
above, which two segments
are congruent?
________ ________
The _________ of a trapezoid is the segment that joins the midpoints of its legs.
Theorem 8.20 : The median of a trapezoid is Parallel to the bases, and its measure is one-half the sum of the measures of the Bases.
Median
M R
E
CY
A
According to the statement above, if RM is the median,
which segments are congruent to each other?
________ ________
________ ________
A B
CD
EF
)(2
1DCABEF
Suggested Assignments:
Classwork: Handouts
Homework: pg 442 13-19 all 39