Name: _____________________________________________________________
CHAPTER 5 HOMEWORK
Day
Section
5.2
Pages
219-223
Assignment
#1, 2, 4, 5, 7-9, 12, 13 - 17, 20
17: Adria
20: Alexis
1
5.3
229-233
#1 – 7, 9, 10, 13, 15, 17, 18,
19, 27
19: Heather
27: Alisa
2
5.4
237-240
#1 – 3, 6 – 8, 11, 16, 19
16: Jamie
19: Sarah
3
Period: ________________
2010-2011
Definitions & Properties
Exterior and Interior angles of a triangle
Thm: If two lines are cut by a transversal and two
alternate interior angles are , then the lines
are parallel.
Thm: If two lines are cut by a transversal and two
alternate exterior angles are , then the lines
are parallel.
Thm: If two lines are cut by a transversal and two
corresponding angles are , then the lines
are parallel.
Thm: If two lines are cut by a transversal and two
interior (or exterior) angles on the same side
of the transversal are supplementary, then
the lines are parallel.
Thm: If two lines are perpendicular to the same line,
then the lines are parallel.
Parallel Postulate: For a given line and a point not on
the line, there is exactly one line through the
point parallel to the given line.
Thm: lines  alternate interior s 
Thm: lines  alternate exterior s 
Thm: lines  corresponding s 
Thm: lines  interior (or exterior) angles on the
same side of the transversal are supplementary
Thm: If a line is perpendicular to one of two parallel
lines, then it is perpendicular to the other.
Thm: If two parallels are cut by a transversal, then
ANY pair of angles is either congruent or
supplementary.
Polygon: plane figure that is the union of segments
that intersect pairwise at their endpoints
(vertices).
Convex Polygon: A polygon in which all interior
angles measure less than 180˚.
Diagonal: a segment joining to non-adjacent vertices.
Quadrilateral: four sided polygon
Parallelogram: opposite sides are parallel
Rectangle: parallelogram with a right angle
Rhombus: parallelogram with 2 consecutive sides
congruent.
Kite: quadrilateral with both pairs of adjacent sides
congruent.
Square: rectangle and rhombus
Trapezoid: exactly one pair of sides parallel
Done
CHAPTER 5 HOMEWORK
Day Section Pages
5.5
244-248
Assignment
#1 - 6, 15, 17, 23-24, 26
15: Kaylee
17: Olivia
3
5.6
251-254
#1, 2, 3, 5, 6, 8, 10, 11, 14, 17
6: Megan
14: Liz
17: Anika
4
5.7
258-262
#1 – 4, 6, 8, 13, 15
8: Jackie
15: Melissa
5
6
5.Rev
7
5.Test
264-267
#1, 2, 4, 6, 7, 11, 16, 19, 22
& Study Guide
3rd & 4th ~ Dec 3 (Friday)
Definitions & Properties
Parallelograms:
- Opposite sides are parallel
- Opposite sides are
- Opposite angles are
- Diagonal bisect each other
- Consecutive angles are supplementary
Rectangles:
- All the properties of parallelograms
- All angles are right angles
- Diagonals are
Rhombuses:
- All the properties of parallelograms
- All sides are
- Diagonals are
- Diagonals are
bisector of each other
- The diagonals make four right triangles
Squares:
- All the properties of rectangles and rhombuses
Prove a Quadrilateral is a Parallelogram
1. Both pairs of opposite sides are parallel
(converse of definition)
2. Both pairs of opposite sides are congruent
(converse of property)
3. A pair of opposite sides are congruent and
parallel
4. The diagonals bisect each other (converse of
property)
5. Both pairs of opposite angles are congruent
(converse of property)
Prove a Parallelogram is a Rectangle
1. A parallelogram with a right angle (converse
of definition)
2. Diagonals are congruent (converse of
property)
3. All four angles are right angles (converse of
property)
Prove a Parallelogram is a Rhombus
1. A parallelogram with two adjacent sides
(converse of definition)
2. Either diagonals bisects opposite angles
(converse of property)
3. Diagonals of a quadrilateral are perpendicular
bisectors
Prove a Parallelogram is a Square
1. A parallelogram that is a rhombus and a
rectangle (converse of definition)
Done