Question

youre being asked to create a new segment named kr. which step of the construction is being illustrated?

• draw from k, this will be one endpoint of the new line segment.
• pick a point, h, on the arc that will be the other endpoint of the new line segment.
• draw line segment kr using a straight edge.
• without changing the width of the compass, place the compass on point h, keeping the same compass width, draw an arc where the other endpoint will be.

Explanation:

To determine the step of construction, we analyze each option:

1. Option 1: "Name point \( K \); this will be one endpoint of the new line segment." – This is the initial step of naming an endpoint, but the image shows a compass (or drawing tool) in use, not just naming a point.

1. Option 2: "Pick a point, \( H \), on the arc that will be the other endpoint of the new line segment." – The image does not show selecting a point on an arc as the final endpoint (this is more likely a mid - step in copying a segment, but the visual here is about drawing the segment itself).

1. Option 3: "Draw line segment \( KH \) using a straightedge." – The image shows a tool (likely a straightedge or pen) being used to draw the segment between \( K \) (and presumably \( H \) or another point), which matches the action of drawing the line segment after determining endpoints.

Answer:

1. Draw line segment \( KH \) using a straightedge.