which statement is true? (not drawn to scale) a line f and line h are parallel. b line f and line g are…

Explanation:

Step1: Recall parallel - line angle rules

If two lines are parallel, corresponding angles are equal, alternate - interior angles are equal, and same - side interior angles are supplementary.

Step2: Analyze angles related to line f and h

For line f and h, we can see that the angles formed by the transversal with line f and h are not equal in the corresponding or alternate - interior sense.

Step3: Analyze angles related to line f and g

For line f and g, we note that the angles formed by the transversal with line f and g are not equal in the corresponding or alternate - interior sense.

Step4: Analyze angles related to line g and h

For line g and h, the angles formed by the transversal with line g and h are not equal in the corresponding or alternate - interior sense.

Step5: Conclusion

Since there are no equal corresponding, alternate - interior, or supplementary same - side interior angles that would indicate parallel lines, there are no parallel lines in the figure.

Answer:

D. There are no parallel lines in the figure.