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Chapter 5-KEY
Section Abbrev.
Page
5.1
Polygon Sum
259
Conjecture
Statement
5.2
263
Exterior Angle
Sum
Conjecture
Equiangular
Polygon
Conjecture
For any polygon, the sum of the measures of
a set of exterior angles is 360˚.
5.3
269
Kite Angles
Conjecture
The non-vertex angles of a kite are
congruent.
5.3
269
Kite Diagonals The diagonals of a kite are perpendicular.
Conjecture
5.3
269
Kite Diagonal
Bisector
Conjecture
Kite Angle
Bisector
Conjecture
The diagonal connecting the vertex angles
of a kite is the perpendicular bisector of the
other diagonal.
The vertex angles of a kite are bisected by a
diagonal.
Trapezoid
Consecutive
Angles
Conjecture
Isosceles
Trapezoid
Conjecture
The consecutive angles between the bases
of a trapezoid are supplementary.
Isosceles
Trapezoid
Diagonals
Conjecture
The diagonals of an isosceles trapezoid are
congruent.
5.2
263
5.3
269
5.3
270
5.3
271
5.3
271
Drawing/Sketch
The sum of the measures of the n interior
angles of an n-gon is: 180˚(n-2)
The measure of each interior angle of an
equiangular n-gon by using either of these
formulas: 180˚-
360
180(n  2)
or
n
n
The base angles of an isosceles trapezoid
are congruent.
5.4
275
5.4
276
Three
Midsegments
Conjecture
Triangle
Midsegment
Conjecture
The three midsegments of a triangle divide
it into 4 congruent triangles.
The midsegment of a triangle is parallel to
the third side and half the length of the 3rd
side.
MD
5.4
277
Trapezoid
Midsegment
Conjecture
1
RA ; MD = RA
2
The midsegment of a trapezoid is parallel to
the bases and is equal in length to the
average of the lengths of the bases.
MD
TE
RA ; MD  TE  RA
2
5.5
281
Parallelogram
Opposite
Angles
Conjecture
The opposite angles of a parallelogram are
congruent.
 E   O;  L   V
5.5
282
Parallelogram
Consecutive
Angles
Conjecture
Parallelogram
Diagonals
Conjecture
The consecutive angles of a parallelogram
are supplementary.
 E+  L=180˚;  L+  O=180˚;
 O+  V=180˚;  V+  E=180˚
The diagonals of a parallelogram bisect each
other.
LM  MV ; EM  MO
5.5
282
5.6
291
Double-Edged If two parallel lines are intersected by a
Straightedge
second pair of parallel lines that are the
Conjecture
same distance apart as the first pair, then
the parallelogram formed is a rhombus.
5.6
292
Rhombus
Diagonals
Conjecture
Rhombus
Angles
Conjecture
The diagonals of a rhombus are
perpendicular, and they bisect each other.
Rectangle
Diagonals
Conjecture
The diagonals of a rectangle are congruent
and they bisect each other.
5.6
292
5.6
293
The diagonals of a rhombus bisect the
angles of the rhombus.
5.6
294
Square
Diagonals
Conjecture
The diagonals of a square are congruent,
perpendicular and they bisect each other.