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Chapter 5
Vocabulary & Conjectures
5.1
Quadrilateral Sum
Conjecture
The sum of the measures of the four
interior angles of any quadrilateral is
________.
5.1
Pentagon Sum
Conjecture
The sum of the measures of the five
interior angles of any pentagon is
_________.
5.1
Polygon Sum
Conjecture
The sum of the measures of the n interior
angles of an n-gon is _______________.
5.2
Exterior Angle Sum
Conjecture
For any polygon, the sum of the measures
of a set of exterior angles is ________.
5.2
You can find the measure of each interior
angle of an equiangular n-gon by using
Equiangular Polygon
either of these formulas:
Conjecture
______________ or _____________
Kite (vertex angles and non-vertex angles)
5.3
5.3
Kite Angles
Conjecture
The ______________ angles of a kite are
_______________.
5.3
Kite Diagonals
Conjecture
The diagonals of a kite are
_________________.
1
5.3
Kite Diagonals
Bisector Conjecture
The diagonal connecting the vertex
angles of a kite is the _____________ of
the other diagonal.
5.3
Kite Angle Bisector
Conjecture
The ___________ angles of a kite are
______________ by a ______________.
Trapezoid (bases and base angles)
5.3
5.3
Trapezoid
Consecutive Angles
Conjecture
The consecutive angles between the bases
of a trapezoid are _________________.
Isosceles Trapezoid
5.3
5.3
Isosceles Trapezoid
Conjecture
The base angles of an isosceles trapezoid
are ________________.
5.3
Isosceles Trapezoid
Diagonals
Conjecture
The diagonals of an isosceles trapezoid
are ________________.
5.4
Three Midsegments
Conjecture
The three midsegments of a triangle
divide it into
_______________________________.
5.4
Triangle
Midsegments
Conjecture
A midsegment of a triangle is
__________ to the third side and
________ the length of ______________.
Midsegment (of a trapezoid)
5.4
2
5.4
Trapezoid
Midsegment
Conjecture
The midsegment of a trapezoid is
___________ to the bases and is equal in
length to
_________________________________
_________________________________.
5.5
Parallelogram
Opposite Angles
Conjecture
The opposite angles of a parallelogram
are _______________.
5.5
Parallelogram
Consecutive Angles
Conjecture
The consecutive angles of a
parallelogram are __________________.
5.5
Parallelogram
Opposite Sides
Conjecture
The opposite sides of a parallelogram are
_______________.
5.5
Parallelogram
Diagonals
Conjecture
The diagonals of a parallelogram
______________________________.
Rhombus (review term)
5.6
5.6
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
_______________.
5.6
Rhombus Diagonals
Conjecture
The diagonals of a rhombus are
______________, and they
_________________________.
5.6
Rhombus Angles
Conjecture
The ____________ of a rhombus
____________ the angles of the rhombus.
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Rectangle (review term)
5.6
5.6
Rectangle Diagonals
Conjecture
The diagonals of a rectangle are
_____________ and
______________________________.
Square (review term)
5.6
5.6
Square Diagonals
Conjecture
The diagonals of a square are
___________, _______________, and
______________________________.
Dart
5.7
4