Geometry Chapter 6 Review

6-1 Properties and Attributes of Polygons
Practice: Classifying Polygons
3. Tell whether the polygon is regular or irregular. Tell
whether it is concave or convex.
6-1 Properties and Attributes of Polygons
Practice: Finding Interior Angle Measures and Sums in Polygons
5. Find the sum of the interior angle measures of a
convex heptagon.
6. Find the sum of the interior angle measures of a
regular 16-gon.
7. Find the measure of each interior angle of a
regular 16-gon.
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6-1 Properties and Attributes of Polygons
6-1 Properties and Attributes of Polygons
Practice
9. Find the measure of each interior angle of a regular
decagon.
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Practice: Finding Exterior Angle Measures
11. Find the measure of each exterior angle of a regular
dodecagon.
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6-1 Properties and Attributes of Polygons
6-2
6-1 Properties
Properties
ofAttributes
Parallelograms
and
of Polygons
Practice: Properties of Parallelograms
Practice
12. Find the value of b in the
following polygon.
In
CDEF, DE = 74 mm,
DG = 31 mm, and m∠FCD = 42°.
74
31
42°
1. Find CF.
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6-2
6-1 Properties
Properties
ofAttributes
Parallelograms
and
of Polygons
a) Find YZ.
6-3
6-1 Properties
andfor
Attributes
of Polygons
Conditions
Parallelograms
Practice: Applying Conditions for Parallelograms
4. Determine if the quadrilateral must be a parallelogram.
Justify your answer.
b) Find m∠Z.
c) Find m∠W.
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3. Find DF.
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Practice: Using Properties of Parallelograms to Find Measures
4. WXYZ is a parallelogram.
2. Find m∠EFC.
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6-3
6-1 Properties
andfor
Attributes
of Polygons
Conditions
Parallelograms
6-3
6-1 Properties
andfor
Attributes
of Polygons
Conditions
Parallelograms
Practice: Applying Conditions for Parallelograms
5. Determine if the quadrilateral must be a parallelogram.
Justify your answer.
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6. Determine if the quadrilateral
must be a parallelogram.
Justify your answer.
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6-3
6-1 Properties
andfor
Attributes
of Polygons
Conditions
Parallelograms
Practice
7. Determine if each quadrilateral
must be a parallelogram. Justify
your answer.
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Practice
6-3
6-1 Properties
andfor
Attributes
of Polygons
Conditions
Parallelograms
Practice: Proving Parallelograms in the Coordinate Plane
9. Show that quadrilateral ABCD is a parallelogram by using
Theorem 6-3-1. A(2, 3), B(6, 2), C(5, 0), D(1, 1).
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Propertiesand
of Special
Parallelograms
6-4
6-1 Properties
Attributes
of Polygons
Practice: Using Properties of Rhombuses to Find Measures
TVWX is a rhombus.
4. Find TX.
Propertiesand
of Special
Parallelograms
6-4
6-1 Properties
Attributes
of Polygons
Practice
CDFG is a rhombus.
6. Find m∠GCH if m∠GCD = (b + 3)°
and m∠CDF = (6b – 40)°
!!!!!
!!!!!
!!
!!!!!!!!!!!!!!!
5. Find m∠VTZ.
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Propertiesand
of Special
Parallelograms
6-4
6-1 Properties
Attributes
of Polygons
Conditionsand
for Special
Parallelograms
6-5
6-1 Properties
Attributes
of Polygons
Practice: Identifying Special Parallelograms
Practice
CDFG is a rhombus.
6. Find m∠GCH if m∠GCD = (b + 3)°
and m∠CDF = (6b – 40)°
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!!!!!
!!!!!
!!
Tell whether each quadrilateral is a parallelogram,
rectangle, rhombus, or square. Give all the names that
apply.
!!!!!!!!!!!!!!!
3.
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4.
Conditionsand
for Special
Parallelograms
6-5
6-1 Properties
Attributes
of Polygons
Practice: Identifying Special Parallelograms
Find the value of x that makes each parallelogram the
given type.
5. rhombus
6.
6-6
6-1 Properties
Attributes
of Polygons
Propertiesand
of Kites
and Trapezoids
Practice: Using Properties of Kites
In kite ABCD, m∠DAB = 54°, and m∠CDF = 52°.
76°
1. Find m∠BCD.
rectangle
54°
52°
( 7x + 6 )0
3x + 12
37 − 2x
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6-6
6-1 Properties
Attributes
of Polygons
Propertiesand
of Kites
and Trapezoids
2. Find m∠ABC.
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6-6
6-1 Properties
Attributes
of Polygons
Propertiesand
of Kites
and Trapezoids
Practice
Practice: Applying Conditions for Isosceles Trapezoids
4. Find the value(s) of a so that PQRS is
isosceles.
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6. Find EH.
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6-6
6-1 Properties
Attributes
of Polygons
Propertiesand
of Kites
and Trapezoids
More Practice
Find the length of the midsegment of each trapezoid.
7.
3n + 5
5n − 1
5n + 1
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