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

2. 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

3. 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.

4. 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

5. 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

6. 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

7. 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

8. 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.

9. 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

10. 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

11. 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

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

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

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

15. 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

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