Question

Describe the relationship between g ¢ f ⇌ and c ¢ d ⇌ when the two lines are perpendicular to a ¢ b ⇌ . Also, describe the relationship between g ¢ f ⇌ and c ¢ d ⇌ when c ¢ d ⇌ is not perpendicular to a ¢ b ⇌ . Zoom in or out on the coordinate plane, if needed.

Answer 1

If lines g-f and c-d are both perpendicular to line a-b, they are parallel to each other; if c-d is not perpendicular to a-b, then the relationship between g-f and c-d depends on their slopes.

Step-by-step explanation:

When two lines are perpendicular to the same line, they are parallel to each other. Therefore, if the lines g · f ⇌ and c · d ⇌ are perpendicular to the line a · b ⇌, it means that g · f ⇌ is parallel to c · d ⇌, with both lines having the same slope but possibly different y-intercepts. When the line c · d ⇌ is not perpendicular to a · b ⇌, then g · f ⇌ can have any relationship with c · d ⇌ depending on their respective slopes; they might intersect at some angle, be parallel, or coincident if they have the same slope and y-intercept.

Answer 2

When two lines are perpendicular to a third line, like AB, the relationship between their lengths depends on the specific situation. If AB is the x-axis and CD is the y-axis, GF and CD will intersect at a right angle. When CD is not perpendicular to AB, the relationship between GF and CD can vary depending on their positions and the slope of CD.

Step-by-step explanation:

When two lines, GF and CD, are perpendicular to AB, the relationship between their lengths depends on the specific situation. In general, if AB is a horizontal line and CD is a vertical line, then GF and CD will have a special relationship. Specifically, if AB is the x-axis and CD is the y-axis, the points G and F will have the same x-coordinate, and the points C and D will have the same y-coordinate. This means that GF and CD will intersect at a right angle.

On the other hand, when CD is not perpendicular to AB, the relationship between GF and CD can vary. The lengths of GF and CD will depend on the slope of CD and the position of G and F relative to CD. You may need to zoom in or out on the coordinate plane to better understand this relationship.

Your question is incomplete, but most probably the full question was:

Describe the relationship between GF and CD when the two lines are perpendicular to AB. Also describe the relationship between GF and CD when CD is not perpendicular to AB . Zoom in or out on the coordinate plane, if needed.