(I) What are the characteristics of polygons? -Closed figure; no open places -Consists of straight line segments; no curves -Connected at endpoints called.

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Presentation transcript:

(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 4 th Quadrant This is in the 3 rd Quadrant This is in the 3 rd Quadrant

Construct these angles using Benchmarks. Be sure to make the dotted lines of the axes dark so they show up 115 degrees325 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? ? ° 58 ° 76 ° Supplement: Complement:

(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?