(I) What are the characteristics of polygons?
-Closed figure; no open places
-Consists of straight line segments; no curves
-Connected at endpoints called vertices; no
segments that intersect at other places
-Outline of polygon can be traced without
visiting any vertex more than once and
returning to the starting point
These are polygons
These are not polygons; why?
(II) Types of Angles: degree?
-Acute angles:
-Right angles:
-Obtuse angles:
-Reflex angles:
(III) How do we construct Benchmark
angles that will help us to draw
rotations?
Estimate these angles; you must show
the Benchmark angles
This is in the 3rd
Quadrant
This is in the 3rd
Quadrant
This is in the
4th Quadrant
Construct these angles using Benchmarks. Be
sure to make the dotted lines of the axes dark
so they show up
115 degrees
325 degrees
(III) Complementary and Supplementary
Angles: what do they sum to?
-What is the complement for an angle of 29 degrees?
-What is the supplement for an angle of 78 degrees?
-What is the Benchmark for complements?
-What is the Benchmark for supplements?
Complement:
Complement:
Supplement:
58 °
?°
76 °
(IV) What do these shapes have in common?
(A)
(B)
(C)
(D)
(V) These blue shapes were grouped together
but the red one wasn’t; how come?
(VI) Use your protractor or angle ruler to
find the measures of the angles in each shape
(VII) Construct this polygon:
(A) ∆ABC, with angle B = to 30° and angle C
a right angle; segment BC = to 2 inches. Be
sure to label your diagram! Helpful Hint:
Draw segment BC first
(VIII) Here is a clock with the hour hand at
the start of an hour. Sketch the angle formed
by the minute hand after five minutes have
passed. What is the measure of the angle that
is formed by the two hands?
12
9
3
6