Question

e. conjectures are often written in the form, “if…, then….”. a statement in if - then form is called a conditional statement. make a conjecture about corresponding angles by completing this conditional statement: “if ______, then corresponding angles are equal.”

Explanation:

Step1: Recall the concept of corresponding angles

Corresponding angles are equal when two parallel lines are cut by a transversal. So we need to fill the "if" part with the condition that leads to corresponding angles being equal.

Step2: Determine the condition

The well - known geometric principle is that if two parallel lines are cut by a transversal, then corresponding angles are equal. So the "if" part should be "two parallel lines are cut by a transversal".

Answer:

two parallel lines are cut by a transversal