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What is a construction copy of segment TU or RS using a compass and straightedge?

A. Segment RT
B. Segment UV
C. Segment TS
D. Segment SR

1 Answer

4 votes

Final answer:

To construct a copy of segment TU or RS using a compass and straightedge, place the compass at one endpoint, draw an arc, then draw a line connecting the arc to the other endpoint. Option D is correct.

Step-by-step explanation:

To construct a copy of segment TU or RS using a compass and straightedge, we will use the method of copying a line segment. Here are the steps:

Place the compass at point T and adjust its width so that it crosses segment TU.

Without changing the compass width, draw an arc that cuts the line at two points. Label these points as A and B.

Place the compass at point A and draw an arc that cuts the previous arc at point C.

Draw a line connecting point C to point U. This line, labeled as CU, is a copy of segment TU.

Therefore, the construction copy of segment TU or RS using a compass and straightedge is Segment SR.

User Ronald Coarite
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