Geometry

Question Analysis:
This question involves applying the Law of Syllogism and the Law of Detachment to draw a valid conclusion from the given statements.
The main focus is on understanding the logical relationships between the statements and identifying which conclusion must be true.

Key Concept Explanation:
Law of Syllogism:
If "If P, then Q" and "If Q, then R" are both true, then "If P, then R" is also true.
Law of Detachment:
If "If P, then Q" is true, and P is true, then Q must be true.

Step-by-Step Solution:
Apply the Law of Syllogism:
From Statement 1 and Statement 3, we can conclude:
"If two lines are perpendicular, then they form four angles measured 90 degrees."
This is because "If P, then Q" and "If Q, then R" together imply "If P, then R."

Apply the Law of Detachment:
Since Line AB is perpendicular to line CD (P is true), and we have "If P, then R," we can conclude:
" Line AB and line CD form four 90-degree angles."

Evaluate the Options:
A) Line AB and line CD form four 90-degree angles.
This is true based on the conclusion above.

B) Line AB and line CD form one right angle.
Th...