QuestionJoaquin is constructing the perpendicular bisector of . What should be his first step?
A
A. Open his compass so that the distance from the two points of the compass is less than half the length of .
B. Open his compass so that the distance from the two points of the compass is half the length of .
C. Open his compass so that the distance from the two points of the compass is wider than half the length of .
D. Open his compass so that the distance from the two points of the compass is one quarter the length of .
Studdy Solution
STEP 1
1. Joaquin is using a compass and straightedge to construct the perpendicular bisector.
2. The goal is to find the correct initial step for constructing the perpendicular bisector.
STEP 2
1. Understand the purpose of the perpendicular bisector.
2. Determine the correct compass width for the initial step.
3. Choose the appropriate option based on the compass width.
STEP 3
Understand the purpose of the perpendicular bisector:
The perpendicular bisector of a line segment is a line that divides the segment into two equal parts at a angle.
STEP 4
Determine the correct compass width for the initial step:
To construct the perpendicular bisector, the compass should be opened to a width that is more than half the length of . This ensures that when arcs are drawn from points and , they intersect at two points, which can then be connected to form the perpendicular bisector.
STEP 5
Choose the appropriate option based on the compass width:
The correct initial step is to open the compass so that the distance from the two points of the compass is wider than half the length of .
Thus, the correct answer is:
C. Open his compass so that the distance from the two points of the compass is wider than half the length of .
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