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QuestionSketch the figure where STundefined\overrightarrow{S T} bisects right ∠PSQ\angle P S Q. What’s the first step? A, B, C, or D?

Studdy Solution

STEP 1

Assumptions1. We are given a right angle ∠PSQ\angle PSQ. . The vector undefined\overrightarrow{} bisects this right angle.

STEP 2

The first step in constructing the figure is to draw the right angle ∠PSQ\angle PSQ. This is the base of our figure.
Draw ∠PSQDraw\, \angle PSQ

STEP 3

Next, we need to draw the vector undefined\overrightarrow{} that bisects the right angle ∠PSQ\angle PSQ. To do this, we need to find the midpoint of the angle.
Draw undefined that bisects ∠PSQDraw\, \overrightarrow{}\, that\, bisects\, \angle PSQ

STEP 4

To find the midpoint of the angle, we can use a compass. Place the point of the compass at the vertex of the angle (point), and draw an arc that intersects both rays of the angle.
Use compass to find midpoint of ∠PSQUse\, compass\, to\, find\, midpoint\, of\, \angle PSQ

STEP 5

Without changing the compass width, move the point of the compass to where the arc intersects one of the rays, and draw another arc within the angle.
Draw another arc within the angleDraw\, another\, arc\, within\, the\, angle

STEP 6

Repeat this process from the point where the arc intersects the other ray of the angle. The point where the two arcs intersect is the midpoint of the angle.
Find intersection of arcs to get midpoint of ∠PSQFind\, intersection\, of\, arcs\, to\, get\, midpoint\, of\, \angle PSQ

STEP 7

Draw the vector undefined\overrightarrow{} from the vertex of the angle (point) to the midpoint of the angle. This vector bisects the angle into two equal parts.
Draw undefinedDraw\, \overrightarrow{}

STEP 8

Now, we have successfully constructed the figure as described. The vector undefined\overrightarrow{} bisects the right angle ∠PSQ\angle PSQ into two equal parts.
So, the correct answer to the question "What is the first step?" is B. Draw ∠PSQ\angle PSQ.

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