Question

Which statement can be combined with its converse to form a true biconditional?

Answer 1

Answer:

D)

I couldn't read C. It contained words like rat, raid devices?

Step-by-step explanation:

The converse of p->q is q->q.

So let's look at each choice:

A) The converse of

"if the measure of an angle is 30, then it is an acute angle"

is:

"If is is an acute angle, then the measure is 30"

The converse is not true so the biconditional will not be true.  There are other angles beside 30 that are acute.

B) The converse of

"if two lines intersect, then the two lines are not skew"

is:

"If the two lines are not skew, then the two lines intersect"

The converse is false because if it isn't skewed, then they could still be parallel and parallel lines don't intersect.

D) The converse of

"if an angle is a straight angle, then it’s sides are opposite rays.:

is:

"If the angle's sides are opposite rays, then it's angle is straight"

True.

So the biconditional is

"an angle is straight, if and only if, the angle's sides are opposite rays.