Answer:
D. a is equal to
Step-by-step explanation:
Let us assume that segment PQ is 8 units, so that its midpoint M is at 4 units to both P and Q.
Given that X is the midpoint of PM, this implies that X is at 2 units to both P and M.
Then;
PX = aPQ
⇒ = a x 8
= 8a
Therefore, a must be equal to , so that;
PX = 8a
= 8 x
= 2 units
Thus, a is equal to is the correct option.
The next step that should be taken by Ian to bisect segment CD is: A. swing arcs on both sides to intersect the first two arcs created.
<h3>What is a line segment?</h3>A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length (numerical value).
In Geometry, a line segment can be measured by using the following measuring instruments:
In Geometry, an arc can be defined as a trajectory that is generally formed when the distance from a given point has a fixed length (numerical value).
Based on the information provided, the next step that should be taken by Ian to bisect segment CD is swinging arcs on both sides to intersect the first two arcs created.
Read more on arcs here: brainly.com/question/17170805
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<u>Complete Question:</u>
Ian is bisecting segment CD. First, Ian places the compass on point D, opens it to a width larger than half of the segment, and swings an arc on both sides of segment CD. Then, Ian keeps the compass the same width and places it on the other point C. What is the next step?
Swing arcs on both sides to intersect the first two arcs created.
Swing an arc that intersects the segment.
Swing arcs that intersect a point that is not on the segment.
Swing an arc that intersects the opposite endpoint.
