Unit 2 – Similarity, Congruence, and Proofs Review Quiz #3 Constructing Polygons

All of the vertices must touch the circle Question 1 When a figure is inscribed in a circle, how many of the vertices must touch the circle? All of the vertices must touch the circle

False True False False True or False: Question 2 True or False: There is only one way to construct a regular polygon False The diameter of a given circle determines the size of the polygon inscribed in the circle. True It is not possible to construct regular polygons without using a ruler and a protractor. False False Only regular polygons can be inscribed in a circle.

Locate a point on the circle Question 3 What is the first step when constructing an equilateral triangle inscribed in a given circle? Locate a point on the circle

Construct the diameter of the circle Question 4 What is the first step when constructing a square inscribed in a given circle? Construct the diameter of the circle

An equilateral triangle Question 5 Think about the process for constructing a regular hexagon in a given circle. Which of the following figures is also inscribed in a circle using the same process? An equilateral triangle

All (6) of the vertices must touch the circle Question 6 If a regular hexagon is inscribed in a circle, how many of the vertices must touch the circle? All (6) of the vertices must touch the circle

False True False False True or False: Question 7 True or False: There is only one way to construct an equilateral triangle inscribed in a circle. False The diameter of a given circle determines the size of the equilateral triangle inscribed in the circle. True It is not possible to construct an equilateral triangle without using a ruler and a protractor. False False Equilateral triangles cannot be constructed.

Locate any point on the circle Question 8 What is the first step with constructing an equilateral triangle inscribed in a given circle? Locate any point on the circle

Question 9 After locating the diameter of a given circle, what is the next step in constructing a square inscribed in the circle? Place the sharp point of the compass on one endpoint of the diameter and swing an arc larger than the radius of the circle

An equilateral triangle Question 10 The same process used for constructing a regular hexagon inscribed in a given circle can be used to construct which other figure inscribed in a given circle? An equilateral triangle

Question 11 The following construction is incomplete. Based on the markings shown, what figure will be constructed? A square

Question 12 The following construction is incomplete. Based on the markings shown, what figure will be constructed? A hexagon

An equilateral triangle Question 13 The following construction is incomplete. Based on the markings shown, what figure will be constructed? An equilateral triangle

An equilateral triangle and a hexagon Question 14 The following construction is incomplete. Based on the markings shown, what figures will be constructed? An equilateral triangle and a hexagon

Question 15 Which incomplete construction shows the location of the third vertex of an equilateral triangle inscribed in a circle? Answer Choice “D”