Question

determine whether the following statements on basic geometry concepts are true or false. two lines that are parallel to the same line are parallel to each other. a line segment can be extended infinitely in both directions. in a circle, the distance from the center to any point on the circle is called the radius. if two angles are complementary, their measures add up to 90 degrees. perpendicular lines form four right angles at the point of intersection.

Explanation:

Step1: Recall parallel - lines definition

Parallel lines are lines in a plane that do not intersect. If two lines are parallel to the same line, they are parallel to each other. This statement is true.

Step2: Recall line - segment property

A line - segment has two endpoints. A line can be extended infinitely in both directions. A line - segment cannot be extended infinitely in both directions on its own. This statement is false.

Step3: Recall circle - radius definition

In a circle, the distance from the center to any point on the circle is called the radius. This statement is true.

Step4: Recall complementary - angles concept

Complementary angles are two angles whose measures add up to 90 degrees. This statement is true.

Step5: Recall perpendicular - lines property

Perpendicular lines form four right angles at the point of intersection. This statement is true.

Answer:

True, False, True, True, True