Practice Page
Directions: Read each question carefully. Choose the best answer.
1.
In the diagram of a construction at the right, what does cd represent?

Choose:
bisector of ∠ACB
perpendicular bisector of ab
median drawn to ab
altitude drawn to ab
basic1

 

 

2.
Which diagram shows the construction of a 45º angle?
 
Choose:

pb2aa

pb2bb
pb2a
pb2a

 

 

3.
The diagram at the right shows a construction of an equilateral triangle with side length, AB. Which of the following statements justifies this construction?

Choose:
m∠A + m∠B + m∠C = 180
m∠A = m∠B = m∠C
AB = AC = BC
AB + BC > AC
pb3

 

 

4.
In the diagram of a construction at the right, what does cd represent?

Choose:
perpendicular bisector of ab
median drawn to ab
altitude drawn to ab
bisector of ∠ACB
pb4

 

 

5.
A triangle has each of its three medians constructed with the intersection point labeled P. Which of the following statements is true?

Choose:
The medians never intersect outside the triangle.
A circle with center at P will intersect each vertex of the triangle.
Point P is equidistant from each of the sides of the triangle.
A circle with center at P will be tangent to each of the sides of the triangle.
thinkguy

 

 

6.
You are given the task of constructing a right triangle. You draw a horizontal line, place a starting point on the line, A, and construct a perpendicular at A. Which of the following statements describes your next step?

Choose:
place a point on the vertical perpendicular, and bisect the segment formed.
connect any point on the vertical perpendicular with a point on the horizontal line (but not A).
place a point on the vertical perpendicular, and copy the right angle at this point.
bisect the right angle at A.

 

 

7.
A line segment can be divided into equal sections using the "bisect a segment construction" as long as the number of equal sections desired is

Choose:
a multiple of 2, such as 2, 4, 6, 8,10, ...
a multiple of 4, such as 4, 8, 12, 16, ...
a perfect square, such as 4, 9, 16, 25, ...
a power of 2, such as 2, 4, 8, 16, ...
thinkgirl2

 

 

8.
When inscribing a square in a circle, you are relying on which fact about squares?

Choose:
They contain four right angles.
They have opposite angles congruent.
The diagonals are congruent and perpsymbol.
The diagonals bisect the angles.
squaresmall

 

 

9.
Which of the following constructions is used when dividing a line segment into 5 equal segments?

Choose:
bisect a segment
parallel line through a given point
perpendicular through a point not on a line
perpendicular bisector
compassguy

 

 

10.
When preparing the construction of a regular hexagon inscribed in a circle, which of the following statements is NOT true?

Choose:
The length of the radius of the circle becomes the length of each side of the hexagon.
The interior angles of the hexagon each contain 60º.
A series of 6 congruent equilateral triangles can be formed in the interior of the hexagon.
The perimeter of the hexagon is equal in length to the length of three diameters of the circle.

 

 

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