QuestionIs constructing an angle bisector like constructing a perpendicular bisector? Choose the correct answer below.
Studdy Solution
STEP 1
Question: What is an angle bisector?
A) A line which cuts a line segment into two equal parts at 90 degrees
B) A line or ray that divides an angle into two equal angles
C) A line that intersects an angle at one point
D) A line that intersects a line segment at its midpoint
Answer: B) A line or ray that divides an angle into two equal angles
STEP 2
Question: What is a perpendicular bisector?
A) A line that intersects a line segment at its midpoint
B) A line or ray that divides an angle into two equal angles
C) A line which cuts a line segment into two equal parts at 90 degrees
D) A line that intersects an angle at one point
Answer: C) A line which cuts a line segment into two equal parts at 90 degrees
STEP 3
Question: How is an angle bisector constructed?
A) By drawing arcs from the vertex of the angle and drawing a line from the vertex to the point where the arcs intersect
B) By drawing an arc from each endpoint of the line segment and drawing a line through the points where the arcs intersect
C) By drawing arcs from the midpoint of the line segment and drawing a line through the points where the arcs intersect
D) None of the above
Answer: A) By drawing arcs from the vertex of the angle and drawing a line from the vertex to the point where the arcs intersect
STEP 4
Question: How is a perpendicular bisector constructed?
A) By drawing arcs from the vertex of the angle and drawing a line from the vertex to the point where the arcs intersect
B) By drawing an arc from each endpoint of the line segment and drawing a line through the points where the arcs intersect
C) By drawing arcs from the midpoint of the line segment and drawing a line through the points where the arcs intersect
D) None of the above
Answer: B) By drawing an arc from each endpoint of the line segment and drawing a line through the points where the arcs intersect
STEP 5
Question: What is the main difference between the construction of an angle bisector and a perpendicular bisector?
A) The construction of an angle bisector involves drawing arcs from the same point while the construction of a perpendicular bisector involves drawing arcs from two different points
B) The construction of an angle bisector involves drawing arcs from two different points while the construction of a perpendicular bisector involves drawing arcs from the same point
C) The construction processes are the same
D) None of the above
Answer: A) The construction of an angle bisector involves drawing arcs from the same point while the construction of a perpendicular bisector involves drawing arcs from two different points
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