Download Exit Problem -haRd in before you leave the room. What is the most

Exit Problem -haRd in before you leave the room.
What is the most descriptive name for each quadrilateral below?
1)
4)
Name
Notes
Honors Geometry
A)Proving that a Quadrilateral is Rectangle
t) Prove that the quadrilateral is a parallelogram and then use either of the
following methods to complete, the proof.
t) If a parallelogram contains at least one .....
it is a rectangle.
2) If the diagonals of a parallelogram are
parallelogram is a rectangle.
II)
If all four angles of a quadrilateral are
a rectangle.
angle, then
,then the
angles, then it is
B) Proving that a Quadrilateral is a Rhombus
I ) Prove that the quadrilateral is a parallelogram and then apply either of
the following methods
1) If parallelogram contains a pair of consecutive sides that are
, then it is a rhombus.
2) If either diagonal of a parallelogram
parallelogram, then it is a rhombus.
If the diagonals of a quadrilateral are
each other, then the quadrilateral is a rhombus.
two angles of the
bisectors of
C) Proving that a Quadrilateral is a Square
I) tf a quadrilateral is both a
and a
, then it is a square.
Name
Honors Geometry
A) Proving that a quadrilateral is a kite
I)
II)
If two disjoint pairs of consecutive sides of a quadrilateral are
congruent, then it is a kite.
If one of the diagonals of a quadrilateral is the perpendicular
bisector of the other diagonal, then-it is a kite.
B) ~roving that a trapezoid is isosceles
I) If the nonparallel sides of a trapezoid are congruent, then it is an
isosceles trapezoid.
II) If the Iower or upper base angles of a trapezoid are congruent, then
it is an isosceles trapezoid.
III) If the diagonals of a trapezoid are congruent, then it is isosceles.
Intro
Honors Geometry
Given:
A~//CD
ZABC _~ ZADC
AB -~ AD
Prove;
ABCD is a rhombus
B
C
Name.
Honors Geometry
I/~10/12
Given: GJMO is a parallelogram
,M
OH ± GK
MK alt. of AMKJ
PROVE: OHKM is a rectangle
2) Given:
Z~r~vVX is isos, with base WX
RY / /WX
Prove: RWXY is an isos, trap
T
3)Given:
GH ~- GK
HM =- KM
Prove: HMK] is a kite
H
K
3. Givel~: AEFD and BFDE are paralielograms
Prove: ADFB is an isos. trapezoid
F
A
E