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S. McMurtrie
NAME _____________________________
The Unit Organizer
4 BIGGER PICTURE
DATE ______________________________
Geometry
2
1
LAST UNIT/Experience
Right Triangles and
Trigonometry
8 UNIT SCHEDULE 5 UNIT MAP
3
CURRENT UNIT
Chapter 8: Quadrilaterals
8.1 Homework
G.1.2.1.4
8.2 Homework
G.1.2.1.2
8.3 Homework
8.1 Find Angle
Measures in
Polygons
M11.C.1.2.2
Find side lengths and angle
measures in different types of
quadrilaterals
G.1.2.1.2
G.1.2.1.2
8.5 Homework
G.1.2.1.2
8.2 Use
Properties of
Parallelograms
M11.C.1.2.2
M11.C.1.2.2
G.1.2.1.2
Test Chapter 8 Test
M11.C.1.2.2
8.5 Use Properties
of Trapezoids and
Kites
8.6 Homework
Rev Review Worksheet
8.6 Identify
Special
Quadrilaterals
Pages 504-564
Quiz Quiz 8.1-8.3
8.4 Homework
NEXT UNIT/Experience
Properties of Circles
8.3 Show that
a Quadrilateral
is a
Parallelogram
8.4 Properties
of Rhombuses,
Rectangles,
and Squares
M11.C.1.2.2
7
How do you find a missing angle measure in a convex polygon? (2.9)
How do you find angle and side measures in a parallelogram? (2.9)
How can you prove that a quadrilateral is a parallelogram? (2.9)
What are the properties of parallelograms that have all sides or all angles congruent? (2.9)
What are the main properties of trapezoids and kites? (2.9)
How can you identify special quadrilaterals? (2.9)
(13.1.11B)
cause/effect
examples
steps
6
UNIT
RELATIONSHIPS
UNIT SELF-TEST
QUESTIONS
M11.C.1.2.2
NAME _____________________________
The Unit Organizer
Chapter 8: Quadrilaterals
DATE ______________________________
9 EXPANDED UNIT MAP
8.1 Find Angle
Measures in
Polygons
Diagonals – a segment that
joins two non-consecutive
vertices of a polygon
The sum of the measures of
the interior angles of a
convex polygon is 180(n-2)
where n is the number of
sides
The sum of the measures of
the exterior angles of a
convex polygon is 360.
NEW
UNIT
SELF-TEST
QUESTIONS
10
8.2 Use
Properties of
Parallelograms
8.6 Identify
Special
Quadrilaterals
Find side lengths and angle
measures in different types of
quadrilaterals
8.3 Show that a
Parallelogram – a
quadrilateral where both
Quadrilateral is
pairs of opposite sides are
a
Parallelogram
parallel
In a parallelogram,
opposite angles are
congruent
If both pairs of opposite sides of
In a parallelogram,
a quadrilateral are congruent,
consecutive angles are
then it is a parallelogram.
supplementary.
If both pairs of opposite angles of
a quadrilateral are congruent,
then it is a parallelogram.
If one pair of opposite sides of a
quadrilateral are both congruent
and parallel, then the
quadrilateral is a parallelogram.
If the diagonals of a
quadrilateral bisect each other,
then the quadrilateral is a
parallelogram.
Pages 504-564
8.4
Properties of
Rhombuses,
Rectangles,
and Squares
Rhombus – a parallelogram with four
congruent sides
Rectangle – a parallelogram with four
right angles
Square – a parallelogram with four
congruent sides and four right angles
A parallelogram is a rhombus if and only
if its diagonals are perpendicular.
A parallelogram is a rhombus if and only
if each diagonal bisects a pair of opposite
angles.
A parallelogram is a rectangle if and only
if its diagonals are congruent.
8.5 Use
Properties of
Trapezoids and
Kites
Kite – a quadrilateral
that has two pairs of
consecutive congruent
sides, but opposite
sides are not
congruent
In a kite, diagonals
are perpendicular.
Trapezoid – a quadrilateral with exactly one pair In a kite, exactly on
of parallel sides
pair of opposite
Bases – the parallel sides of a trapezoid
angles are congruent.
Base angles – any angle associated with the base
of a trapezoid – there are two pairs
Legs – the nonparallel sides of a trapezoid
Isosceles trapezoid – a trapezoid with congruent
legs
In an isosceles trapezoid, base angles are
congruent.
If a trapezoid has a par of congruent base angles,
then the trapezoid is isosceles.
A trapezoid is isosceles if and only if its diagonals
are congruent.
Midsegment – a segment connecting the
midpoints of the legs of a trapezoid
The midsegment of a trapezoid is parallel to each
base and its length is one half the sum of the
lengths of the bases.
When will you need to know the midsegment of a trapezoid?
What are the common properties between the special quadrilaterals?
Can you create a Venn diagram to show the relationships between special quadrilaterals?
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