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A student constructs a line tangent to circle O at point P, on the circle. She followed the given steps.

Step 1: Draw a line from the center O through P that extends beyond the circle.

Step 2: With a compass on P, draw an arc on each side of P and label Q and R.

Step 3: With a compass on Q, set its width equal to and make an arc.

Step 4: With the compass on R, using the same width as the previous step, make another arc intersecting the previous arc and label the intersection S.

Step 5: Draw a line through P and S.

Which step contains an error and how can it be fixed?

A.
Step 4: Set the width of the compass equal to .
B.
Step 2: Set the compass on O, not P.
C.
Step 3: Set the width greater than .
D.
Step 5: Draw a line through O and S.

Respuesta :

The error that was made is found in; C: Step 3 and it can be corrected by Setting the width greater than.

How to draw a line tangent to a circle?

When trying to construct a line tangent to circle O at a point say P, the steps are as follows;

Step 1; Draw a line from the center through P and beyond the circle.

Step 2; With the compass on P, draw an arc each side of P, creating Q and R.

Step 3; With the compass on Q, set its width to a setting greater than QP.

Step 4; Make an arc in a random location using Q as center with distance less than QR but greater than QP.

Step 5; Without changing the compass width, repeat step 4 for point R, creating point S.

Step 6; Draw a line through P and S.

Step 7; PS is the line tangent to circle O at point P

Looking at the steps and comparing to the question, it is clear that the error was in step 3 where they made the compass on Q equal to QP rather than greater than QP.

Read more about tangent to a circle at; https://brainly.com/question/17040970

jredbonilla

Answer:

C: Step 3 and it can be corrected by Setting the width greater than.

Step-by-step explanation:

in case you have not noticed the man who posted on top did say the answer at first then explained why, he desierves brainliest, and who ever didint see his post and made that coment, well, hes kinda blind

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