Alex wants to construct a line segment through R that makes the same angle with line segment QR as line segment PQ . The figure below shows a step to construct a congruent angle at R:

A line segment QR is drawn. PQ is a line segment that makes an obtuse angle of about 120 degrees with QR. An arc, indicating the measure of angle PQR intersects PQ at S and QR at T. Another arc drawn from point R is a reflection of the first arc but of the same measure and intersects QR. A compass with its ends at points S and T is shown.

Which figure shows the next step to construct a congruent angle at R? (1 point)

Alex wants to construct a line segment through R that makes the same angle with line segment QR as line segment PQ The figure below shows a step to construct a class=

Respuesta :

Answer: is C

Step-by-step explanation:

Please see attached drawing of the next step of the construction to

creating the same angle as as QR with PQ.

A description of the next step is to place the compass at the point of intersection of the arc drawn from point R and the line QR

What are the steps required to construct the same angle with a line segment as an initial segment angle?

The steps to create the same angle are as follows;

  • Draw a line through the point R from another point such as point Q

  • Draw an arc by placing the compass at the point Q to intersect QR at T and QP at S

  • With the compass width QT = QR, place the compass at the point R and draw an arc intersecting the line QR at a point U

  • Adjust the compass width by placing the compass at point T and adjusting the width to the point S to get a width of TS

  • Place the compass at the point U and with the width TS, draw an arc to intersect the previous arc drawn from R at point V

  • Draw a line passing through point of intersection of the two arcs V passing through R

The next step is therefore;

To place the compass at the point of intersection of the arc drawn from point R and the line QR (point U).

Please see attached drawing of the next step created with MS Visio

Learn more about geometric construction here:

https://brainly.com/question/13160630

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