Which statements are true? Select three options. Line A B and Line C G are parallel. Line A B and Line R S are parallel. Line C

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3 years ago

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Which statements are true? Select three options. Line A B and Line C G are parallel. Line A B and Line R S are parallel. Line C

G and Line R S are perpendicular. Line A B and Line R S must intersect. Line segment C G lies in plane X. Line segment R S lies in plane X.

Mathematics

1 answer:

defon · Answer 1 · 2022-04-30T04:05:43+03:00

Answer:

Line A B and Line C G are parallel.

Line C G and Line R S are perpendicular

Line A B and Line R S must intersect

Line segment C G lies in plane X

Step-by-step explanation:

Given that Planes X and Y intersect at a right angle.

From the image attached, line AB and CG are on the same plane X while line RS is on plane Y. Hence, line CG lies on plane X.

Since both line AB and CG line on the same plane, this means that both lines are parallel to each other.

Since plane X and plane Y are perpendicular to each other and line CG is on plane X and line RS is on plane Y, this means that both Line C G and Line R S are perpendicular.

Also Since plane X and plane Y intersect and line AB is on plane X and line RS is on plane Y, this means that both Line C G and Line R S intersect with each other at right angle.