Question

PLZ HELP ME

If segment AB is ⊥ segment DF, then segment DF is ________.


perpendicular to line t


parallel to segment CD


parallel to line t


perpendicular to segment CD

Answer 1

parallel to line t (option c)

Explanation:

It is given that segment AB⊥ segment DF

Segment DF

If we consider two lines DF and t

Here, ∠PED= 90°

From the figure ∠B=90°

∠PED= ∠B=90°

They form corresponding angles are equal

Since, corresponding angles are equal, Lines are parallel

Hence, Line segment DF is parallel to line t

Answer 2

Option C will be correct i.e. parallel to line t.

Explanation:

See the diagram attached to this question.

It is given that segment DF is perpendicular to segment AB ....... (1)

Again as the line t is a tangent on the circle at point B and AB is the diameter

So, we can say segment AB is perpendicular to line t ....... (2)

Therefore, from the conditions (1) and (2), we can conclude that segment DF is parallel to line t.

Hence, option C will be correct. (Answer)