Question

Gabriela will construct a line parallel to EF¯¯¯¯¯ through point G.

What step should be her first step?

A. Draw a line through point G and point E.

B. With the compass point on G, construct an arc that intersects EF¯¯¯¯¯ .

C. Draw a line through point G intersecting EF¯¯¯¯¯.

D. With the compass point on E, construct an arc that intersects EF¯¯¯¯¯.

Answer 1

In order to draw a line parallel to line segment EF though point G, the first step is to use a compass on point G. The arc drawn should be tangent to line segment EF, meaning the arc intersects line segment EF at a single point.

Answer 2

C. Draw a line through point G intersecting EF¯¯¯¯¯.

Explanation:

We are given a line EF and a point G outside of line EF.

We need to draw a parallel line to EF through a point G outside given line.

In order to draw a parallel line, we need to make an angle though G point with a segment. By using that angle we would be able to draw a parallel line to EF through point G.

In order to make that angle, we need to draw a line through point G intersecting EF.

Therefore, first step would be :

C. Draw a line through point G intersecting EF¯¯¯¯¯.