IAG 3/4 CHECK FOR UNDERSTANDING:
FUNCTIONAL RELATIONSHIPS
Preparation:
A. What is the sum of the measures of the interior angles of any triangle? (2)
B. Given a hexagon, how many triangles can be formed from one vertex? (2)
C. What is the sum of the measures of the interior angles of any hexagon? (2)
D. Given an octagon, how many triangles can be formed from one vertex? (2)
E. What is the sum of the measures of the interior angles of any octagon? (2)
F. In general, how do you find the sum of the measures of the interior angles of
any polygon? (2)
pentagon
hexagon
octagon
decagon
1. Find the sum of the measures of the interior angles of a decagon. (3-)
a. Find the sum of the measures of the interior angles of a pentagon. (3-)
2. Find the measure of one interior angle of a regular decagon. (3)
a. Find the measure of one interior angle of a regular 12-gon. (3)
3. The sum of the measures of the interior angles of a regular polygon is 2160°.
How many sides does the polygon have? (3)
a. The sum of the measure of the interior angles of a regular polygon is
1080°. How many sides does the polygon have? (3)
4. The measure of a side of a regular hexagon is equal to the measure of one of
its interior angles divided by 4. Find the length of a side. (3+)
a. The measure of a side of a regular hexagon is equal to the measure of
one of its interior angles decreased by 40. Find the length. (3+)
5. Write an equation to model the number of line segments in each figure
below, then find the number of line segments required to make the 25th
figure. (2+)
a. Write an equation to model the number of line segments in each
figure, then determine which figure would have 93 line segments. (3)
Fig 1
Fig 2
Fig 3
6. Write an equation to model the number of line
segments in each figure, then find the number of
line segments required to make the 55th figure.
(3)
Fig 1
a. Write an equation to model the
number of line segments in each
figure, then determine which figure
would have 216 line segments. (3)
Fig 4
7. Write an equation to model the perimeter
of each figure at right, then determine which
figure would have a perimeter of 192 units.
(3+)
b. Write an equation to model the
number of line segments in each
figure, then find the perimeter of
the 8th figure. (3)
Fig 1
8. Write an equation to model the number
of dots in each figure at right, then find the
number of dots in the 7th figure. (3)
a. Write an equation to model the
number of dots in each figure at
right, then determine which figure
would have 128 dots. (3+)
Fig 2
Fig 3