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:
AB + AC > BC
m∠A = m∠B = m∠C
AB = BC = CA
m∠A + m∠B + m∠C = 180
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.
You are given two angles and a side and asked to construct a triangle where the side is included between the two angles. Which of the following descriptions, of the order of the constructions, will always produce the triangle?

Choose:
Construct the side first, then construct the two angles.
Construct both angles first, then construct the side.
Construct one angle, then the side, and finally the other angle.
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.
If asked to construct an isosceles triangle with 30º base angles, which construction(s) could be used in the production of the 30º angles?

Choose:
equilateral triangle construction
bisect angle construction
copy angle construction
All of the above.

 

 

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

 

 

10.
You are asked to construct a triangle given the three sides. Which of the following theorems applies directly to this construction?
Choose:
If two sides of a triangle are congruent, the angles opposite them are congruent.
The sum of the angles of a triangle is 180º.
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
The midline of a triangle is parallel to the third side and half the length of the third side.

 

 

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