PreAlgebra 7
QUIZ REVIEW
Name _______________________
CMP3
Sections 2.1 – 2.4
Period _____ Date _____________
Section(2.1) Focus: Students will find the sum of the interior angles of regular polygons and the measure
of one interior angle.
(a) What is meant by the adjective regular polygon?
(b) How many sides do each of the following regular polygons have? Equilateral triangle _____ Square _____
Pentagon _____ Hexagon _____ Octagon ______ Decagon ______
(c) What is the formula that predicts the sum of the interior angles of a regular polygon? Apply this formula to a
regular hexagon and to a regular octagon
(d) What is the formula that will give you the measure of one of the interior angles of a regular polygon?
Apply this formula to a regular pentagon and a regular decagon
(e) What is the sum of the angles in any triangle? _____
What is the sum of the angles for any quadrilateral? _____
(f) Show how you could divide the following polygon into triangular regions that would give you the sum of
the interior angles
(g) For regular polygons, does changing the length of the side affect the measure of the interior angles?
Section (2.2) Focus: What is the angle sum of any polygon with n number of sides? Use (n-2)180
(a)
(b) Find the measures of the interior angles without using a protractor or angle ruler
85°
°°°
110°
(c) Is a rectangle a regular polygon? Explain your reasoning
(d) Find the angle sum for a polygon that has 12 sides
x°
°°°
95°
°°°
(e)
Find the measure of angle x
85°
°°°
35°
°°°
Section (2.3) Focus: Using regular polygons to tile a surface without overlaps or gaps (tessellations)
(a) In a honeycomb, what shape are the cells?
(b) Why do these shapes fit together so neatly? (think about how many of them are positioned around a point
and the measure of the interior angles.)
(c) What is the total rotation around the intersection of the three sides?
(d) Why doesn't a pentagon tile a surface? Can you arrange a few of them around a point with no gaps or
overlaps?
(e) What are some irregular shapes that can be tiled successfully?
Section (2.4) Focus: What is an exterior angle of a polygon and what do you know about the sum of the
measures of all the exterior angles?
(a) How does a convex polygon differ from a concave polygon?
(b) Use (n-2)180 to find the sum of the interior angles for this concave polygon
(c) For this shape, label the interior angle and the exterior angle; what is the sum of the measures of the two
angles? _________ We say that the two angles are __________________________.
(d) Find the measures of the exterior angles; what is the sum of all the exterior angles? ______________
125°
°°°
105°
°°°
95
°
°°°
110°
°°°
105°
°°°
(e) Find the measures of angles x and y
x°
°°°
y°
°°°
125°
°°°
35°
°°°
(f) Find the measures of angles x, y, and w
y°
°°°
w°
°°°
x°
°°°
45°
°°°
35°
°°°