Questions: Morgan drew 3 lines. - Line A moves in the same direction as Line B and the lines never intersect. - Line B forms a perfect right angle (90° angle) with Line C. Which statement is correct about these lines? Line B is parallel to Line C Line C is perpendicular to Line A Line C is parallel to Line A Line A is perpendicular to Line B Connor created an angle that formed a 130° angle. What type of angle did he create? obtuse straight acute right

Morgan drew 3 lines.
- Line A moves in the same direction as Line B and the lines never intersect.
- Line B forms a perfect right angle (90° angle) with Line C.

Which statement is correct about these lines?
Line B is parallel to Line C
Line C is perpendicular to Line A
Line C is parallel to Line A
Line A is perpendicular to Line B

Connor created an angle that formed a 130° angle. What type of angle did he create?
obtuse
straight
acute
right
Transcript text: Morgan drew 3 lines. - Line $A$ moves in the same direction as Line $B$ and the lines never intersect. - Line $B$ forms a perfect right angle ( $90^{\circ}$ angle) with Line $C$. Which statement is correct about these lines? Line $B$ is parallel to Line $C$ Line $C$ is perpendicular to Line $A$ Line $C$ is parallel to Line $A$ Line $A$ is perpendicular to Line $B$ Connor created an angle that formed a $130^{\circ}$ angle. What type of angle did he create? obtuse straight acute right
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Solution

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Let's address each part of the question separately:

  1. About the lines:

    • Line $A$ moves in the same direction as Line $B$ and the lines never intersect. This means Line $A$ is parallel to Line $B$.
    • Line $B$ forms a perfect right angle ($90^{\circ}$ angle) with Line $C$. This means Line $B$ is perpendicular to Line $C$.

    Now, let's evaluate each statement:

    • Line $B$ is parallel to Line $C$: This is incorrect. Line $B$ is perpendicular to Line $C$, not parallel.

    • Line $C$ is perpendicular to Line $A$: This is correct. Since Line $A$ is parallel to Line $B$, and Line $B$ is perpendicular to Line $C$, Line $C$ must also be perpendicular to Line $A$.

    • Line $C$ is parallel to Line $A$: This is incorrect. Line $C$ is perpendicular to Line $A$, not parallel.

    • Line $A$ is perpendicular to Line $B$: This is incorrect. Line $A$ is parallel to Line $B$, not perpendicular.

    The correct statement is: Line $C$ is perpendicular to Line $A$.

  2. About the angle Connor created:

    • Connor created a $130^{\circ}$ angle.

    Let's evaluate the type of angle:

    • Obtuse: An obtuse angle is one that is greater than $90^{\circ}$ but less than $180^{\circ}$. A $130^{\circ}$ angle fits this description.
    • Straight: A straight angle is exactly $180^{\circ}$.
    • Acute: An acute angle is less than $90^{\circ}$.
    • Right: A right angle is exactly $90^{\circ}$.

    The correct type of angle is: obtuse.

In summary, the correct statement about the lines is that Line $C$ is perpendicular to Line $A, and the type of angle Connor created is obtuse.

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