Question

Gabriela will construct a line parallel to (EF) through point (G). What should be her first step?

a) Draw a line through point (G) intersecting (EF).
b) Draw a line through point (G) and point (E).
c) With the compass point on (G), construct an arc that intersects (EF).
d) With the compass point on (E), construct an arc that intersects (EF).

Answer 1

Gabriela should choose option c) With the compass point on (G), construct an arc that intersects (EF). Without changing the compass width, place the compass point on the arc's intersection with line (EF) and draw another arc.

Step-by-step explanation:

To construct a line parallel to (EF) through point (G), Gabriela should choose option c) With the compass point on (G), construct an arc that intersects (EF).

Here are the steps to follow:

1. Place the compass point on point (G).
2. Extend the compass to create an arc that intersects line (EF).
3. Without changing the compass width, place the compass point on the arc's intersection with line (EF) and draw another arc.
4. Label the intersection of the two arcs as point (H).
5. Draw a line through point (G) and (H).