 More Constructions Terms of Use    Contact Person: Donna Roberts  1.
In the diagram of a construction at the right, what does represent?

Choose:
 bisector of ∠ACB perpendicular bisector of median drawn to altitude drawn to  2.
Which diagram shows the construction of a 45º angle?

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

Choose:
 perpendicular bisector of median drawn to altitude drawn to bisector of ∠ACB 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. 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, ... 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 . The diagonals are and . The diagonals bisect the angles. 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.
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. 