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How many lines in a plane could be perpendicular bisectors of a segment?
In a plane, there are infinitely many lines that can serve as perpendicular bisectors of a given segment. The unique perpendicular bisector of a segment is a specific line that divides the segment into two equal parts at a right angle. However, any line parallel to this unique bisector, at any distance, can also be considered a perpendicular bisector if it intersects the segment at its midpoint. Thus, while the unique perpendicular bisector exists, an infinite number of lines can be drawn parallel to it.
How many bisectors could a segment have?
A segment has exactly one bisector. This bisector is a line (or line segment) that divides the original segment into two equal parts and is perpendicular to it. No matter the length of the segment, the unique bisector will always pass through the midpoint of the segment.
Which shape could never have perpendicular lines a circle a triangle a rectangle or a square?
A circle !!!!!!
Which shape has no parallel sides but at least 1 pair of adjacent perpendicular sides?
It could be a right angle triangle
Is a quadrilateral perpendicular?
It could be but does not have to be... (Perpendicular to what?)
Whats a segment that is equally distant from two endpoints of the segment of a triangle?
The description seems a bit confusing (to me) but it sounds like it could be a perpendicular bisector of a side of a triangle.
Is median and the altitude of a triangle the same?
The median is a line from a vertex to the midpoint of the opposite line and an altitude is a line from a vertex to the opposite line which is perpendicular to the line. These are NOT the same thing in most triangles. The only time they could be the same is in an equilateral triangle.
How would the construction be different if you changed the compass setting in step 4 of the perpendicular bisector construction?
If the compass angle is changed, the entire geometric shape being drawn is different. For example, if a triangle is being drawn, it could change from an obtuse triangle from a ninety degree triangle.
How many lines in a plane could be perpendicular bisectors of a segment?
In a plane, there are infinitely many lines that can serve as perpendicular bisectors of a given segment. The unique perpendicular bisector of a segment is a specific line that divides the segment into two equal parts at a right angle. However, any line parallel to this unique bisector, at any distance, can also be considered a perpendicular bisector if it intersects the segment at its midpoint. Thus, while the unique perpendicular bisector exists, an infinite number of lines can be drawn parallel to it.
In the diagram below xy is the perpendicular bisector of jk?
It could be, but without the diagram it is not possible to be certain.
How do you find center of a circle given 3 points on the circle?
You have points A, B, and C. Using a compass and straight edge, find a perpendicular bisector of AB (that is, a line that is perpendicular to AB and intersects AB at the midpoint of AB. Next, find a perpendicular bisector of BC. The two lines you found will meet at the center of the circle.
How do you bisect an obtuse angle?
In the same way that you bisect an acute triangle. Alternatively, you could extend one of the rays of the obtuse angle so that you have an acute angle. Bisect that angle and then draw a perpendicular to the bisector of the acute angle through the vertex.
What is the approximate length of the base of an isosceles triangle if the congruent sides are 3 feet and the vertex angle is 35 degress?
The median of an isosceles triangle from its apex is also the perpendicular bisector of the base. This line divides the triangle into two congruent right angled triangles whose hypotenuse is 3 feet and whose apical angle is 35/2 = 17.5 degrees. If the base of the original triangle was 2b cm then sin(17.5) = b/3 so that b = 3*sin(17.5) = 0.9cm so that the base was 2b = 1.8 feet Alternatively, you could use the sine rule on the triangle:
How many bisectors could a segment have?
A segment has exactly one bisector. This bisector is a line (or line segment) that divides the original segment into two equal parts and is perpendicular to it. No matter the length of the segment, the unique bisector will always pass through the midpoint of the segment.
Is a right triangle a perpendicular shape?
Not necessarily. It is a plane shape which could be horizontal.
Which shape could never have perpendicular lines a circle a triangle a rectangle or a square?
A circle !!!!!!
Which shape has no parallel sides but at least 1 pair of adjacent perpendicular sides?
It could be a right angle triangle
