Geometry ! celeste is constructing the perpendicular bisector of st⎯⎯⎯⎯⎯ . which set of instructions explains a correct way to begin the construction? a) place the compass point on point s and open the compass so that the pencil point is on the midpoint of the line segment. draw an arc on each side of the segment. b) place the compass point on the midpoint of the line segment and open the compass so that the pencil point is on point s. draw an arc on each side of the segment. c) place the compass point on point s and open the compass so that the pencil point is on the segment, but closer to point t than to point s. draw an arc on each side of the segment. d) place the compass point on point s and open the compass so that the pencil point is on the segment, but closer to point s than to point t. draw an arc on each side of the segment.

The answer is C.

Step-by-step explanation:

Given the line segment ST. we have to give the instruction to construct the perpendicular bisector of line ST.

So to construct the perpendicular bisector of line our first step is to place the compass at one end of line and then adjust the compass more than half of line segment and draw the arc on each side of segment.

After that Keeping the same compass width, draw arcs from other end of line. Place scale where the arcs intersect, and draw the line segment.

So, the correct match is option C )  Place the compass point on point S and open the compass so that the pencil point is on the segment, but closer to point T than to point S. Draw an arc on each side of segment.

no not all of them.

step-by-step explanation:

some of them have a square base.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.