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Polygon Properties - Ch 5
Quadrilateral Sum Conjecture
The sum of the measures of the four angles of any quadrilateral is….
...360 degrees.
C-30 p. 256
D
C
B
A
m∠ + A m∠ + B m∠ + C m∠ = 360D °
Polygon Properties - Ch 5
Pentagon Sum Conjecture
The sum of the measures of the five angles of any pentagon is…
...540 degrees.
C-31 p. 256
E
DC
B
A
m∠ + A m∠ + B m∠ + C m∠ + D m∠ = 540E °
Polygon Properties - Ch 5
Polygon Sum Conjecture
The sum of the measures of the n interior angles of an n-gon is….
... 180o(n - 2).
C-32 p. 257
Polygon Properties - Ch 5
Exterior Angle Sum Conjecture
For any polygon, the sum of the measures of a set of exterior angles is….
...360 degrees.
C-33 p. 261
E
DC
B
A
m∠ + A m∠ + B m∠ + C m∠ + D m∠ = 360E °
Polygon Properties - Ch 5Equiangular Polygon Conjecture
You can find the measure of each interior angle of an equiangular n-gon by using either of these formulas:….
180 - 360/n
C-34 p. 214
180(n - 2) / n
180(n−2)n
Polygon Properties - Ch 5
Kite Angles Conjecture
The _____________ angles of a kite
are _______________.
nonvertex
C-35 p. 267
congruent
Polygon Properties - Ch 5
Kite Diagonals Conjecture
The diagonals of a kite are….
...perpendicular.
C-36 p. 267
Polygon Properties - Ch 5Kite Diagonal Bisector Conjecture
The diagonal connecting the vertex angles of a kite is the ...
__________________________
... of the other diagonal.
C-37 p. 267
…perpendicular bisector...
Polygon Properties - Ch 5 Kite Angle Bisector Conjecture
The ______________ angles of a kite
are ______________ by a
___________ .
C-38 p. 267
vertex
bisected
diagonal
Polygon Properties - Ch 5Trapezoid Consecutive Angles Conjecture
The consecutive angles between the bases of a trapezoid are….
C-39 p. 268
…supplementary.
D
CB
A
m∠A+m∠B=180o
m∠C +m∠D=180o
Polygon Properties - Ch 5Isosceles Trapezoid Conjecture
The base angles of an isosceles trapezoid are ….
C-40 p. 269
…congruent.
∠A ≅∠B∠C ≅∠D
CD
BA
Polygon Properties - Ch 5Isosceles Trapezoid Diagonals Conjecture
The diagonals of an isosceles trapezoid are ….
C-41 p. 269
…congruent
CD
BA
AC ≅BD
Polygon Properties - Ch 5Three Midsegments Conjecture
The three midsegments of a triangle divide it into…
C-42 p. 273
...four congruent triangles.
Polygon Properties - Ch 5Triangle Midsegment Conjecture
A midsegment of a triangle is __________
to the third side and is ___________
the length of __________________.
C-43 p. 274
parallel
half
the third sideE
F
D
C
BA
Polygon Properties - Ch 5Trapezoid Midsegment Conjecture
The midsegment of a trapezoid is
_________ to the bases
and is equal in length to
__________________________________
C-44 p. 275
parallel
the average of the lengths of the bases.
Polygon Properties - Ch 5Parallelogram Opposite Angles Conjecture
The opposite angles of a parallelogram are…
C-45 p. 279
...congruent.D C
BA∠A ≅∠B∠C ≅∠D
Polygon Properties - Ch 5Parallelogram Consecutive Angles Conjecture
The consecutive angles of a parallelogram are…
C-46 p. 280
...supplementary.D C
BA
m∠ + A m∠ = 180B °m∠C + m∠D = 180°
Polygon Properties - Ch 5Parallelogram Opposite Sides Conjecture
The opposite sides of a parallelogram are…
C-47 p. 280
...congruent.D C
BA
AB ≅ CD and AD ≅ BC
Polygon Properties - Ch 5Parallelogram Diagonals Conjecture
The diagonals of a parallelogram…
C-48 p. 280
...bisect each other.
Polygon Properties - Ch 5
Double-edged Straightedge Conjecture
If two parallel lines are intersected by a second pair of parallel lines that are the same distance apart as the first pair, then the parallelogram formed is a …
C-49 p. 287
...rhombus.
Polygon Properties - Ch 5Rhombus Diagonals Conjecture
The diagonals of a rhombus are…
C-50 p. 288
...perpendicular..
.....and they...
...bisect each other.
Polygon Properties - Ch 5Rhombus Angles Conjecture
The ______________ of a rhombus
_______ the angles of the rhombus.
C-51 p. 288
diagonals
bisect
Polygon Properties - Ch 5
Rectangle Diagonals Conjecture
The diagonals of a rectangle are ___________
and they __________ each other.
C-52 p. 289
congruent
bisect
Polygon Properties - Ch 5Square Diagonals Conjecture
The diagonals of a square are
__________ and ______________
and they _________________.
C-53 p. 290
congruent
perpendicular
bisect each other