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BC and DE
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What is the perpendicular bisector equation to the line segment of -1 -6 and 5 -8?
Points: (-1, -6) and (5, -8) Midpoint: (2, -7) Perpendicular slope: 3 Perpendicular bisector equation: y = 3x -13
How do you find the midpoint the slope the perpendicular slope and the equation for the perpendicular bisector of the line segment joining the points of 3 5 and 7 7?
Midpoint = (3+7)/2, (5+7)/2 = (5, 6) Slope of line segment = 7-5 divided by 7-3 = 2/4 = 1/2 Slope of the perpendicular = -2 Equation of the perpendicular bisector: y-y1 = m(x-x1) y-6 =-2(x-5) y = -2x+10+6 Equation of the perpendicular bisector is: y = -2x+16
What is the perpendicular bisector equation joining the line segment of -2 plus 5 and -8 -3 giving brief details?
Points: (-2, 5) and (-8, -3) Midpoint: (-5, 1) Slope: 4/3 Perpendicular slope: -3/4 Use: y-1 = -3/4(x--5) Bisector equation: y = -3/4x-11/4 or as 3x+4y+11 = 0
What is a line that intersects two or more coplanar lines at different points?
It is a tranversal.
Describe the coordinates of all points in all the quadrants?
The coordinates of all points in the coordinate plane consist of ordered pairs of numbers.
Are any points on the perpendicular bisector of a segment equally distant from the 2 endpoints?
All of the points on a perpendicular bisector are equidistant from the endpoints of the segment.
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.
What statement describes the points on the perpendicular bisector?
The points on the perpendicular bisector of a segment are equidistant from the segment's endpoints. This means that if you take any point on the perpendicular bisector, it will be the same distance from both endpoints of the segment. Additionally, the perpendicular bisector is a line that divides the segment into two equal parts at a right angle.
How do you name an angle bisector?
To name an angle bisector, you typically use the vertex of the angle and the points where the bisector intersects the sides of the angle. For example, if you have an angle formed by points A, B, and C, where B is the vertex, and the bisector intersects the sides at points D and E, you can name the angle bisector as segment BD or segment BE, depending on which side you refer to. It’s also common to denote the angle bisector with the symbol for bisector, such as ( \overline{BD} ) or ( \overline{BE} ).
What is a characteristic of a perpendicular bisector?
Given a straight line joining the points A and B, the perpendicular bisector is a straight line that passes through the mid-point of AB and is perpendicular to AB.
If R and S are two points in the plane the perpendicular bisector of RS is the set of all points equidistant from r and a?
The perpendicular bisector of a segment RS is the line that is perpendicular to RS at its midpoint and divides the segment into two equal parts. Any point on this bisector is equidistant from points R and S, meaning the distance from a point on the bisector to R is the same as the distance to S. This property makes the perpendicular bisector a key concept in geometry, especially in constructions and proofs involving distances and triangles.
What is the locus of points equidistant from two points?
The perpendicular bisector of the straight line joining the two points.
If a and b are two points in the plane the perpendicular bisector of ab is the set of all points equidistant from a to b?
The perpendicular bisector of the line segment connecting points ( a ) and ( b ) in a plane is a line that is perpendicular to the segment at its midpoint. This line consists of all points that are equidistant from ( a ) and ( b ). Therefore, if any point lies on the perpendicular bisector, it maintains equal distance from both points. This property is fundamental in geometry and is used in various applications, including triangulation and construction.
What is the locus point equidistant from two points AB that are 8 cm apart?
The locus point is the perpendicular bisector of AB. The locus point is the perpendicular bisector of AB.
What is the difference between a perpendicular line and a perpendicular bisector?
A perpendicular line is one that is at right angle to another - usually to a horizontal line. A perpendicular bisector is a line which is perpendicular to the line segment joining two identified points and which divides that segment in two.
If R and S are two points in the plane the perpendicular bisector of is the set of all points equidistant from R and S.?
The perpendicular bisector of the line segment connecting points R and S is a line that is perpendicular to the segment at its midpoint. Any point on this line is equidistant from R and S, meaning the distance from any point on the bisector to R is the same as the distance to S. This property makes the perpendicular bisector a crucial concept in geometry, particularly in triangle construction and circle definition.
What Line t is the perpendicular bisector of FG. If line t intersects FG at point H statements must be true Check all that apply.?
The answer letters always rearrange so here are the answers point H is the midpoint of FG line t intersects FG at a right angle Line T is perpendicular to FG
