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Vinvika [58]
3 years ago
13

Will give brainliest no one is helping me:(

Mathematics
1 answer:
Shalnov [3]3 years ago
6 0

9514 1404 393

Answer:

  see below for instructions

Step-by-step explanation:

You will need to do these constructions yourself. We cannot put marks on your paper for you.

The instructions below apply to part 3. A subset of the instructions applies to parts 1 and 2. The tools you need are a compass and a straightedge.

__

1. Draw line AB, and mark point X on it.

2. Choose a suitable radius for your compass and draw arcs with that radius centered at X. Label the points of intersection with line AB points E and G.

__

From here, the instructions are the same for constructing a perpendicular bisector of any segment. In what follows, we are construction the perpendicular bisector of segment EG. Thus, these instructions apply directly to parts 1 and 2. Points E and G will refer to the end points of the segment you are bisecting.

3. Set your compass radius to <em>more than half the distance</em> between points E and G.

4. Draw an arc centered at E that extends above and below the center of segment EG.

5. <em>Using the same radius</em>, draw arcs centered at G that cross the arc you drew in step 4. Label the points of intersection point P and Q.

6. Draw line segment PQ. This is the perpendicular bisector of EG. (For part 3, it will go through point X.)

__

In the attached, we show the "arcs" as full circles. They need not be. They only need to have sufficient length to make sure they cross where they need to cross.

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