Geometry
Chapter 3 BIG Quiz 3.1 – 3.5
Section: 5 points each
Basic: 1 Correct: 3 points
Proficient: 2 Correct: 4 points
Advanced: 3 Correct: 6 points
Name____________________
Date ___________ Period ___
MUST SHOW ALL WORK FOR FULL CREDIT!
Section 1: Properties of Parallel Lines –
Use the figure below to classify each of the following pairs of angles as either
alternate-interior angles, corresponding angles, same-side interior angles, or vertical
angles:
a)
b)
c)
d)
e)
<11 and <15
<13 and <16
<1 and <13
<3 and <13
<5 and <7
______________________________
______________________________
______________________________
______________________________
______________________________
Section 2: Properties of Parallel Lines –
B. Find the measure of <1 and <2.
<1 =___________
<2= ___________
P. Find the value of x for which l ∕∕ m.
x = ________
A. Find the value of x for which l ∕∕ m.
x = ________
Section 3: Proving Lines Parallel –
B. Find the value of x for which a // b.
a
b
P. Using the figure below, if <3 and < 8 are supplementary, which lines can you
conclude are parallel? Justify
A. Using the figure in above, <1 and <9 are corresponding angles. If m<1 = 60 – 2x and
m<9 = 70 – 4x, determine the value of x for which the lines l and m are parallel.
Section 4: Parallel Lines and the Triangle Angle-Sum Theorem –
B. Find the value of <1.
<1 = _______
P. Find the measure of <2.
<2 = _______
A. Find the value of x, y, and z.
x = ________
y = ________
z = ________
Section 5: Parallel Lines and the Triangle Angle-Sum Theorem –
B. Find the measure of <3 and <4.
P. Classify the triangle below by its sides
AND its angles.
< 3 = ______
< 4 = ______
A. Find the value of x, y, and z.
x = _______
y = _______
z = ________
Section 6: Polygon Angle-Sum Theorem –
B. Find the missing angle measure.
y = ________
P. What is the sum of the measures of the angles of an hexagon?
A. The sum of the measures of the angles of a regular polygon is 1980. How many sides does the
polygon have?
Section 7: Polygon Angle-Sum Theorem –
B. Classify the polygon and tell whether it is convex or concave.
P. What is the sum of the measures of the exterior angles, one at each vertex, of a hexagon?
18. The measure of an exterior angle of a regular polygon is given. Find the measure of
an interior angle, and find the number of sides.
30°
Measure of interior angle ______
Number of sides ________
Section 8: Vocabulary –
____ Equilateral
A. all angles congruent
____ Convex
B. all sides congruent
____ Transversal
C. a line that intersects 2 coplanar lines at 2 points
____ Regular Polygon
D. all interior diagonals
____ Concave
E. equilateral and equiangular
____ Equiangular
F. diagonals outside of the figure