Question

Tyrell is constructing an angle congruent to angle Q. The work he has done so far is shown below.

Which of the following best describes what Tyrell should do next?
A. Adjust the compass setting to measure the distance from point R to point s.
B. Place the tip of the compass on point S.
C. Place the tip of the compass on point R
D.Place the tip of the compass on point X.

Answer 1

D.Place the tip of the compass on point X

Explanation:

To construct an angle congruent to angle Q involves drawing an angle X that is the same measure as angle Q. Below are the steps involved.

i) First measure any length with your compass and place the compass on point Q to draw an arc to touch both lines at point R and S.

ii) With the same length used to draw the arc that touch at point R and S, place the compass on point X and then draw an arc, the point at which the arc touches the line on which point x lies should be labeled T.

iii) measure with the distance with the compass from point R to S. With the distance, place the compass on point T and draw an arc.

iv) Where the arc from (iii) and (ii) intersect should be labeled T. From point T draw a line to point X.

The resulting angle is a congruent angle to angle Q