SHAPES AND DESIGN

REVIEW FOR QUIZ

Sections 1.1 – 1.5

(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 4th Quadrant

This is in the 3rd

Quadrant

This is in the 3rd

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?

? °

58 °76 °

Supplement:

Complement: 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?

6

12

9 3