QuestionConstruct the perpendicular bisector of $\overline{AB}$ . What is the second step and the final step of the construction?

Studdy Solution

STEP 1

Assumptions1. We have a line segment $\overline{AB}$ . . We have a compass and a straightedge for the construction.
3. The perpendicular bisector is a line that divides the line segment into two equal parts at a right angle.

STEP 2

The first step in constructing the perpendicular bisector of a line segment is to place the compass at one end of the line segment, say point $A$ , and draw an arc that is more than half the length of the line segment.
$\text{Place compass at point } A \text{ and draw an arc}$

STEP 3

The second step is to keep the same compass width, place the compass at the other end of the line segment, point $B$ , and draw another arc that intersects the first arc.
$\text{Place compass at point } B \text{ and draw another arc}$ So, the correct option for the second step isOption B With the same compass setting, put the compass point on point $B$ and draw another long arc. Label the points where the two arcs intersect each other as $X$ and $Y$ .

STEP 4

The third step is to draw a line through the two points where the arcs intersect. This line is the perpendicular bisector of $\overline{AB}$ .
$\text{Draw a line through points } X \text{ and } Y$

STEP 5

The final step is to label the point where the perpendicular bisector intersects $\overline{AB}$ as $M$ , which is the midpoint of $\overline{AB}$ .
$\text{Label the intersection of the perpendicular bisector and } \overline{AB} \text{ as } M$ So, the correct option for the final step isOption F Locate $M$ , the midpoint of $\overline{AB}$ .

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms