Answer:
Line A B and Line C G are parallel.
Line C G and Line R S are perpendicular.
Line segment C G lies in plane X.
Step-by-step explanation:
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The following statements are true:
Line AB and line CG are parallel.
Line CG and line RS are perpendicular.
Line segment CG lies in plane X.
When the two lines lie in the same plane then they are said to be parallel lines.
Given information:
Planes X and Y intersect at a right angle.
Lies in plane X and do not intersect.
A) Line AB and Line CG are parallel: As both lines, AB and CG lie in plane X. Thus both are parallel and options A is the correct option.
B) Line AB and Line RS are parallel: As the line, AB lies in the plane X and the line RS lies in the plane Y. Thus both are perpendicular and not parallel. Option B is the incorrect option.
C)Line CG and Line RS are perpendiculars: As the line CG lies in the plane x and the line RS lies in the plane Y. Thus both are perpendicular. Option C is the correct option.
D) Line AB and Line RS must intersect: line RS passes from the middle of the plane Y and line AB passes from the left of the plane X centre. Thus they do not intersect each other. Option D is the incorrect option.
E) Line segment CG lies in plane X: As shown in the diagram, line CG lies in plane X. Thus option E is the correct option.
F) Line segment RS lies in plane X: As shown in the diagram, and the line lies RS in plane Y. Thus option F is the incorrect option.
Hence, the following statements are true:
Line AB and line CG are parallel.
Line CG and line RS are perpendicular.
Line segment CG lies in plane X.
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