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Planes X and Y intersect at a right angle. and lie in plane X and do not intersect. lies in plane Y.

Which statements are true? Check all that apply.
AB CG and are parallel.
AB RSand are parallel.
CG RS and are perpendicular.
AB and RS must intersect.
CG lies in plane X.
RS lies in plane X.

Planes X and Y intersect at a right angle and lie in plane X and do not intersect lies in plane Y Which statements are true Check all that applyAB CG and are pa class=

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Statements

A. AB and CG are parallel.

This statement is True

B. AB and RS are parallel

This statement is False

Because, AB and RS are perpendicular

C. CG and RS are perpendicular

This statement is True

D. AB and RS must intersect

This statement is False

Because, The lines AB and RS are perpendicular but do not intersect, the perpendicular distance between them is constant.  

E. CG lies in plane X

This statement is True

F. RS lies in plane X

This statement is False

Because, RS lies in plane Y

The statements which are true-

  • AB, CG and are parallel
  • CG RS and are perpendicular
  • CG lies in plane X.

What is parallel lines?

When the two lines lies in the same plane than 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) AB, CG and are parallel-As both the line AB and CG lies in the plane x. Thus both are parallel and the option A is the correct option.

  • b) AB RS and 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 the parallel. The option B is the incorrect option.

  • c)CG RS and are perpendicular--As the line CG lies in the plane x and the line RS lies in the plane y. Thus both are perpendicular. The option C is the correct option.
  • d) AB and RS must intersect-Line RS passes from the middle of the plane y and line AB passes from left of the plane x center. Thus they do not intersect each other.The option D is the incorrect option.
  • e) CG lies in plane X-As shown in the diagram, the line CG lies in the plane x. Thus The option E is the correct option.
  • f) RS lies in plane X-As shown in the diagram, the line lies RS in the plane y. Thus The option F is the incorrect option.

Hence the statements which are true-

  • AB, CG and are parallel
  • CG RS and are perpendicular
  • CG lies in plane X.

Learn more about the parallel line here;

https://brainly.com/question/16742265

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