QQuestionMathematics
QuestionMathematics
# Question 1 of 10
## 2 Points
## If $\mathscr{H}_{\perp} \square$, which statement is true?
A. $\mathscr{R}$ and $\square$ meet at a straight angle.
B. $\mathscr{R}$ and $\square$ are coplanar and do not intersect.
C. $\mathscr{R}$ and $\square$ meet at a right angle.
D. $\mathscr{R}$ and $\square$ are not in the same plane.
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Answer
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Step 1:Let me solve this step by step:
Step 2:: Understand the notation
- $\mathscr{H}_{\perp}$ typically represents a plane that is perpendicular to another plane or line
- The symbol $\perp$ universally means "perpendicular" in geometric contexts
Step 3:: Analyze the meaning of $\mathscr{H}_{\perp} \square$
- This notation suggests that the plane $\mathscr{H}$ is perpendicular to the plane $\square$
Step 4:: Consider the geometric implications of perpendicular planes
- When two planes are perpendicular, they do not intersect in a line within the same plane - They intersect at a right angle - Any line in one plane that is perpendicular to the line of intersection will be perpendicular to the other plane
Step 5:: Evaluate the given options
A. Incorrect - Planes don't "meet at a straight angle" B. Incorrect - Perpendicular planes are not coplanar C. Correct - Perpendicular planes meet at a right angle D. Incorrect - Perpendicular planes actually do not lie in the same plane
Final Answer
C. $\mathscr{R}$ and $\square$ meet at a right angle.
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