The correct illustration is provided.
Explanation:
Utilizing a tool like Geogebra, commence by creating a line segment. Label the endpoints as C and D.
Next, draw the perpendicular bisector of the segment and denote the intersection with CD as B, then introduce a point A above this line.
Measure the distance from C to B and from B to D. Both distances will be equal.
Measure the length from A to B. If this distance is not equal to that from C to B, adjust A along line AB until the distances match.
With a compass and straightedge:
First, create segment CD and ensure the endpoints are labeled.
Adjust your compass to slightly more than half the distance between C and D. With it set at C, draw an arc above CD.
Using the same compass setting at D, draw another arc to intersect your first arc above CD. Mark the intersection as E.
Connect E to CD with a straightedge and label the intersection as B.
Set your compass to the distance from C to B. Position it on B and mark an arc on EB. Designate this intersection point as A.
Thus, AB will equal both CB and BD.
Explanation:
Utilizing a tool like Geogebra, commence by creating a line segment. Label the endpoints as C and D.
Next, draw the perpendicular bisector of the segment and denote the intersection with CD as B, then introduce a point A above this line.
Measure the distance from C to B and from B to D. Both distances will be equal.
Measure the length from A to B. If this distance is not equal to that from C to B, adjust A along line AB until the distances match.
With a compass and straightedge:
First, create segment CD and ensure the endpoints are labeled.
Adjust your compass to slightly more than half the distance between C and D. With it set at C, draw an arc above CD.
Using the same compass setting at D, draw another arc to intersect your first arc above CD. Mark the intersection as E.
Connect E to CD with a straightedge and label the intersection as B.
Set your compass to the distance from C to B. Position it on B and mark an arc on EB. Designate this intersection point as A.
Thus, AB will equal both CB and BD.
