Exam 3 Review
Exam 3 will cover sections 4.4
. We did omit construction 8 from 5.5 and so those constructions will be omitted
In 5.1 and 5.2, you should be familiar with the names and what each of
the following mean:
is a transversal, then corresponding angles are congruent.
From the postulate you should be able to prove any of the following four theorems (given as 1)
is a transversal, then all of the following angle relationships hold
Alternate interior angles are congruent.
Alternate exterior angles are congruent.
on the same side of the transversal are supplementary.
Exterior angles on the same side of the transversal are supplementary.
Postulate 2: (converse of Postulate 1):
are two lines cut by a tran
with a pair of corresponding angles
From this postulate, you should be able to prove any of the following four theorems (given as 1).
are two lines cut by a transversal
a pair of congruent alternate interior angles, then
A pair of congruent alternate exterior angles congruent, then
A pair of supplementary interior angles on the same side of the transversal, then
A pair of supplementary exterior angles on the same side of the transversal, then
ere will be three proofs each worth 8
10 points. These fall into 2 categories.
In a figure with parallel lines, be able to prove angles are congruent or supplementary
use Postulate 1 and
4. Exercise 39 page 227.
In a figure with certain
angles congruent or supplementary, be able to prove certain lines are parallel
Postulate 2 and Theorems 5
8. Exercises 35, 36 page 227.
Proving properties of quadrilaterals, or conversely, proving that quadrilaterals with certain properties must be a
______________ (kite, parallelogram, rhombus, trapezoid, isosceles trapezoid)
Prove that opposite sides of a parallelogram are congruent. (Theorem 5.15)
Prove if the opposite sides of a quadrilateral are congruent, then the quadrilateral is
parallelogram. (Theorem 5.17
The converse of 5.15)
To prove a quadrilateral is a parallelogram, it is necessary to show that opposite sides are parallel, so you
will want to use Postulate 2 and Theorems 5
#37, 38, 40
: # 40, 43, 44,
using straightedge and compass
4 of them worth 5 points each.
Section 4.4: Know the 6 basic constructions and use them to 1) construct an angle #13,14,17 2) construct an
altitude, median, perpendicular bisector in a triangle 21, 22
Section 5.5: Construct parallel lines
Construction 7 : #2,
Construct a quadrilateral with certain givens: # 5,7,9,15
Chapters 4, 5 Miscellaneous
Apply the perpendicular bisector theorem #37
Know the names and be able to identify and
determine angles when parallel lines are cut by a transversal. Section
Know the names and be able to identify and determine angles when parallel lines are cut by a transversal AND
also apply the exterior angle theorem and angle bisector th
eorem. 5.2: 1
23 (Be sure you can explain why using
appropriate names and terms)
Never questions about properties of quadrilaterals. 5.3, 5.4 + properties about Kites (see #40
Utilize properties of quadrilaterals to find ang
le and side measures in figures containing these quadrilaterals. 5.3
35, 45; 5.4
37. Again, you should be able to explain why for the true statements
show that you know which