Question

Given that the images represent 4 steps in the construction of a line segment congruent to a given line segment, which is step 3 in the construction?

Answer 1

Answer:

Adjust the compasses' width to the point Q. The compasses' width is now equal to the length of the line segment PQ.

Step-by-step explanation:

Start with a line segment PQ that we will copy. Mark a point R that will be one endpoint of the new line segment. Set the compasses' point on the point P of the line segment to be copied. Adjust the compasses' width to the point Q. The compasses' width is now equal to the length of the line segment PQ.

Answer 2

Two line segments are said to be congruent if they have the same length. They need not be parallel to each other.

• Congruent line segments can be constructed by using a compass and a straightedge.

• When two line segments exactly measure the same, they are known as congruent lines.

• For example, two line segments XY and AB have a length of 8 inches and are hence known as congruent lines.

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