Which statement is NOT true for a pair of a intersecting lines?

A. They form two pairs of congruent angles.
B. They form four pairs of complementary angles.
C. They form four pairs of supplementary angles.
D. They form two pairs of vertical angles.

Thanks

The statement that is NOT true for a pair of intersecting lines is option B. They do not form four pairs of complementary angles. Complementary angles are angles that add up to 90 degrees, and intersecting lines do not necessarily create angles that are complementary to each other.

To determine which statement is NOT true for a pair of intersecting lines, let's analyze each statement individually.

A. They form two pairs of congruent angles.
When two lines intersect, they form two pairs of congruent angles. This statement is true.

B. They form four pairs of complementary angles.
Complementary angles are angles that add up to 90 degrees. When two lines intersect, they do not form complementary angles. This statement is NOT true.

C. They form four pairs of supplementary angles.
Supplementary angles are angles that add up to 180 degrees. When two lines intersect, they form four pairs of supplementary angles. This statement is true.

D. They form two pairs of vertical angles.
Vertical angles are a pair of non-adjacent angles that are formed when two lines intersect. When two lines intersect, they do indeed form two pairs of vertical angles. This statement is true.

Therefore, the statement that is NOT true for a pair of intersecting lines is B. They form four pairs of complementary angles.

They form four pairs of complementary angles