Chapter 6
Honors Geometry
How many sides does a polygon have if the
sum of the measures of the interior angles
is 2880?
18 Sides
Find the sum of the exterior angles (one per
vertex) of a 23-gon.
360
How many sides does a polygon that
contains 27 diagonals have?
9 Sides
Name the polygon whose ratio of each
interior angle to each exterior angle is 4:1.
A.
B.
C.
D.
E.
F.
Quadrilateral
Pentagon
Hexagon
Heptagon
Octagon
Decagon
Opposite angles of an isosceles trapezoid
are:
A.
B.
C.
D.
Complementary
Supplementary
Congruent
No relationship
ABCD is a rhombus. Find
mCDB if mABC = 126.
A. mCDB = 126
B. mCDB = 63
C. mCDB = 54
D. mCDB = 27
Sahas has a shape he knows to be a
parallelogram and all four sides are
congruent. Which information does he
need to know to determine whether it is
also a square?
A. The diagonal bisects a pair of opposite
angles.
B. The diagonals bisect each other.
C. The diagonals are perpendicular.
D. The diagonals are congruent.
LMNO is a rhombus. Find x.
A. 5
B. 7
C. 10
D. 12
LMNO is a rhombus. Find y.
A. 6.75
B. 8.625
C. 10.5
D. 12
If JKLM is a kite, find KL.
A. 5
B. 6
C. 7
D. 8
The diagram shows a car jack used to raise a car
from the ground. In the diagram, AD  BC and
AB  DC. Based on this information, which
statement will be true, regardless of the height
of the car jack.
A. A  B
B. A  C
C. AB  BC
D. mA + mC = 180
Find the measure of an interior angle of a
regular polygon that has 10 sides.
A. 180
B. 162
C. 144
D. 126
Find the measure of an interior angle of a
regular polygon that has 12 sides.
A. 135
B. 150
C. 165
D. 180
What is the sum of the measures of the
interior angles of a 20-gon?
A. 3600
B. 3420
C. 3240
D. 3060
What is the sum of the measures of the
interior angles of a 16-gon?
A. 3060
B. 2880
C. 2700
D. 2520
Find x if QRSTU is a regular pentagon.
A. 21
B. 15.25
C. 12
D. 10
What type of regular polygon has interior
angles with a measure of 135°?
A. pentagon
B. hexagon
C. octagon
D. decagon