Download Assignment and Vocabulary Sheet November 7

Week: November 7 - 11 Geometry Assignments: LiteratureAssignments:
PUT THESE ASSIGNMENTS IN YOUR ASSIGNMENT NOTEBOOK!!!
Due: (Show work)
Tues:
Test Ch. 4, Voc. Ch. 4
Tues: Courtroom Visit papers
Wed: Thinking Cap Quiz Bowl
Read pp. 216 – 219, Voc. 5-2
p. 213 P 1 - 15
Wed. Summaries Ch. 10 – 19, Read Ch. 28 – 31,
Quiz Ch. 20 - 23
Thurs. Read pp. 224 – 227, Voc. 5-3
p. 220 P 1 – 24
Thurs. Voc. Ch. 24 - 27
Fri.
Fri. PQ Ch. 24 - 27
Read pp. 234 – 237, Voc. 5-4
P 229 P 1 – 26
Mon. Read pp. 241 – 244, Voc. 5-5
p. 244 P 1 – 27
Mon. Quiz Ch. 24 – 27, Voc. Ch. 28 - 31
One line of paper per line of work
Skip line between problems.
Fold paper in half.
Problems done in class on the left side,
remaining problems on the right side.
Numerators on 1 line, denominators on 2nd line.
Vocabulary check:
Score in margin on right next to #1
# correct / total
Correct work in red pen for the incorrect
Problems and those not done.
* CS = Complete sentences, include
question in answer, no pronouns without
corresponding noun. Skip line between
answers. Type all work not done in class.
Use cursive for classwork. Use erasable
pen. Follow writing standards.
Scoring Marks:
D = incorrect definition, ans = answer √
Sp = spelling error,
NAS = not a sentence,
Q in A = missing question in answer,
Gr = grammar error,
P = use of pronoun without noun,
M = meaning of voc. term is not clear
Heading and title must be complete.
Work done in pencil. Errors are erased, not crossed out. Before passing in your paper put your first
and last name on the back of the last
5-1
1) Indirect Proof Procedure:
a) List the possibilities for the conclusion.
b) Assume that the negation of this desired conclusion is correct.
c) Write a chain of reasons until you reach an impossibility. This will be a
contradiction of either
1) given information, or
2) a theorem, definition, or other know fact.
d) State the remaind possibility as the desired conclusion.
5-2
1) Theorem 30 – The measure of an exterior angle of a triangle is greater than the
measure of either remote interior angle.
2) Exterior angle of triangle – an angle formed whenever a side of the triangle is
extended to form an angle supplementary to the adjacent interior angle
Exterior angle
Adjacent interior angle
Remote interior angles
3) Theorem 31 – If two lines are cut by a transversal such that two alternate interior
angles are congruent, the lines are parallel.
(Short form: Alt. int. ∠ s ≅ ⇒ || lines)
4) Theorem 32 – If two lines are cut by a transversal such that two alternate exterior
angles are congruent, the lines are parallel.
(Short form: Alt. ext. ∠ s ≅ ⇒ || lines)
5) Theorem 33 - If two lines are cut by a transversal such that two corresponding
angles are congruent, the lines are parallel.
(Short form: Corr. ∠ s ≅ ⇒ || lines)
6) Theorem 34 - If two lines are cut by a transversal such that two interior angles on
the same side of the transversal are supplementary, the lines are parallel.
7) Theorem 35 - If two lines are cut by a transversal such that two exterior angles on
the same side of the transversal are supplementary, the lines are parallel.
8) Theorem 36 – If two coplanar lines are perpendicular to a third line, they are
parallel.
5–3
1) Parallel Postulate – Through a point not on a line there is exactly one parallel to
the given line.
2) Theorem 37 - If two parallel lines are cut by a transversal, each pair of alternate
interior angles are congruent. (Short form: || lines ⇒ alt. int. ∠ s ≅)
3) Theorem 38 – If two parallel lines are cut by a transversal, then any pair of the
angles formed are either congruent or supplementary.
4) Theorem 39 – If two parallel lines are cut by a transversal, each apir of alternate
exterior angles are congruent. (Short form: || lines ⇒ alt. ext. ∠ s ≅)
5) Theorem 40 – If two parallel lines are cut by a transversal, each pair of
corresponding angles are congruent. (Short form: || lines ⇒ corr. ∠ s ≅)
6) Theorem 41 - If two parallel lines are cut by a transversal, each pair of interior
angles on the same side of the transversal are supplementary.
7) Theorem 42 – If two parallel lines are cut by a transversal, each pair of exterior
angles on the same side of the transversal are supplementary.
8) Theorem 43 – In a plane, if a line is perpendicular to one of two parallel lines, it is
perpendicular to the other.
9) Theorem 44 – If two lines are parallel to a third line, they are parallel to each
other. (Transitive Property of Parallel lines
10)
5-4
1) Polygons – plane figures made up of line segments where consecutive sides
intersect only at endpoints. Nonconsecutive sides do not intersect. Polygons are
named by starting at any vertex and then proceeding either clockwise or
counterclockwise.
2) Convex Polygon – A polygon in which each interior angle has a measure less
than 180.
3) Diagonal of a Polygon – any segment that connect two nonconsecutive
(nonadjacent) vertices of the polygon.
4) Quadrilateral – a four-sided polygon.
5) Parallelogram – a quadrilateral in which both pairs of opposite sides are parallel.
6) Rectangle – a parallelogram in which at least one angle is a right angle.
7) Rhombus – a parallelogram in which at least two consecutive sides are
congruent.
8) Kite – a quadrilateral in which two disjoint pairs of consecutive sides are
congruent.
9) Square - a parallelogram that is both a rectangle and a rhombus.
10) Trapezoid – a quadrilateral with exactly one pair of parallel sides. The parallel
sides are called bases of the trapezoid.
11) Isosceles Trapezoid – a trapezoid in which the
nonparallel sides (legs) are congruent. In the figure, angle A and B are called the
lower base angles, and angles C and D are called the upper base angles.
5-5
1) Properties of Parallelograms:
a. Opposite sides are parallel
b. Opposite sides are congruent
c. Opposite angles are congruent
d. Diagonals bisect each other
e. Any pair of consecutive angles are supplementary
2) Properties of Rectangles:
a. All properties of parallelograms apply
b. All angles are right angles
c. Diagonals are congruent
3) Properties of Kites:
a. Two disjoint pairs of consecutive sides are congruent by defintion.
b. The diagonals are perpendicular
c. One diagonal is the perpendicular bisector of the other
d. One of the diagonals bisects a pair of opposite angles
e. One pair of opposite angles are congruent.
4) Properties of Rhombuses:
a. All properties of a parallelogram apply
b. All properties of a kite apply. All half properties become full properties.
c. All sides are congruent
d. Diagaonals bisect the angles.
e. Diagonals are perpendicular bisectors of each other.
f. The diagonals divide the rhombus into four congruent right triangles.
5) Properties of Squares:
a. All the properties of a rectangle apply
b. All the properties of a rhombus apply
c. The diagonals form four isosceles right triangles (45º-45º-90º triangles)
6) Properties of Isoceles Trapezoids:
a. The legs are congruent
b. The bases are parallel
c. The lower base angles are congruent
d. The upper base angles are congruent
e. The diagonals are congruent
f. Any lower base angle is supplementary to any upper base angle.