To construct a segment congruent to a given segment, you typically use a compass and straightedge. First, draw a line segment of the desired length using the given segment as a reference. Place the compass point on one endpoint of the original segment, adjust it to the other endpoint, and then draw an arc. Finally, use the same compass width to create a new arc from a chosen point on the new line, marking the intersection to form the congruent segment.
equilateral triangles
on any ray,there is exactly one point at a given distance from the endpoint of the ray
If MV measures 3 cm, then the segment that must also measure 3 cm is the segment that is congruent to MV. In geometric contexts, this often applies to segments that are opposite or corresponding in a given shape, such as in triangles or other polygons where two sides are equal in length. Without additional context, it’s difficult to specify further, but generally, any segment identified as congruent to MV will also measure 3 cm.
To construct segment EF with a length equal to the sum of segments AB (5) and CD (8), first draw segment AB measuring 5 units. Then, from one endpoint of segment AB, use a compass to measure out 8 units to create segment CD. Finally, connect the endpoint of segment CD to the endpoint of segment AB to form segment EF, which will measure 13 units in total.
Yes, the midpoint of a given line segment must lie on the line segment itself. The midpoint is defined as the point that divides the segment into two equal parts, which means it is located directly between the endpoints of the segment. Therefore, by definition, the midpoint is always a point on the line segment.
a line or segment that is perpendicular to the given segment and divides it into two congruent segments
No, because Segment Construction Postulate may be use in any rays,there is exactly one point at a given distance from the end of the ray and in Segment Addition Postulate is is you may add only the Lines.
Equilateral triangles
equilateral triangles
on any ray,there is exactly one point at a given distance from the endpoint of the ray
Finding the midpoint of a segment Drawing a perpendicular line segment from a given point to a given segment Drawing a perpendicular line segment through a given point on a given segment Drawing a line through a given point parallel to a given line
Finding the midpoint of a segment Drawing a perpendicular line segment from a given point to a given segment Drawing a perpendicular line segment through a given point on a given segment Drawing a line through a given point parallel to a given line
Finding the midpoint of a segment Drawing a perpendicular line segment from a given point to a given segment Drawing a perpendicular line segment through a given point on a given segment Drawing a line through a given point parallel to a given line
If MV measures 3 cm, then the segment that must also measure 3 cm is the segment that is congruent to MV. In geometric contexts, this often applies to segments that are opposite or corresponding in a given shape, such as in triangles or other polygons where two sides are equal in length. Without additional context, it’s difficult to specify further, but generally, any segment identified as congruent to MV will also measure 3 cm.
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To construct segment EF with a length equal to the sum of segments AB (5) and CD (8), first draw segment AB measuring 5 units. Then, from one endpoint of segment AB, use a compass to measure out 8 units to create segment CD. Finally, connect the endpoint of segment CD to the endpoint of segment AB to form segment EF, which will measure 13 units in total.
Yes, the midpoint of a given line segment must lie on the line segment itself. The midpoint is defined as the point that divides the segment into two equal parts, which means it is located directly between the endpoints of the segment. Therefore, by definition, the midpoint is always a point on the line segment.