Which of the following statements is true?ResponsesA In the x,y-coordinate plane, the axes are parallel and intersect at the point (0, 0).In the x , y -coordinate plane, the axes are parallel and intersect at the point (0, 0).B In the x,y-coordinate plane, the axes are perpendicular and intersect at the point (0, 0).In the x , y -coordinate plane, the axes are perpendicular and intersect at the point (0, 0).C In the x,y-coordinate plane, the axes are perpendicular and intersect at various points.In the x , y -coordinate plane, the axes are perpendicular and intersect at various points.D In the x,y-coordinate plane, the axes are parallel and intersect at various points.
Question
Which of the following statements is true?ResponsesA In the x,y-coordinate plane, the axes are parallel and intersect at the point (0, 0).In the x , y -coordinate plane, the axes are parallel and intersect at the point (0, 0).B In the x,y-coordinate plane, the axes are perpendicular and intersect at the point (0, 0).In the x , y -coordinate plane, the axes are perpendicular and intersect at the point (0, 0).C In the x,y-coordinate plane, the axes are perpendicular and intersect at various points.In the x , y -coordinate plane, the axes are perpendicular and intersect at various points.D In the x,y-coordinate plane, the axes are parallel and intersect at various points.
Solution
The correct statement is B: In the x,y-coordinate plane, the axes are perpendicular and intersect at the point (0, 0).
Here's why:
In a coordinate plane, the x-axis and y-axis are two number lines that intersect at a right angle (90 degrees), which means they are perpendicular. They intersect at the origin, which is the point (0,0). This is a fundamental concept in geometry and graphing.
The other options are incorrect because:
A) The axes in a coordinate plane are not parallel. If they were, they would never intersect.
C) The axes in a coordinate plane only intersect at one point, the origin (0,0), not at various points.
D) Again, the axes in a coordinate plane are not parallel, and they only intersect at the origin (0,0).
Similar Questions
Read the statement given below and choose the correct answer.I. Any point on x-axis is of the form (x, 0) for all x.II. Any point on y-axis is of the form (0, y) for all y.III. Any point on both the axes is of the form (x, y) for all x and y.Which of the following is true ?I and III and IIII onlyIII only
If , which statement is true?A. and meet at a right angle.B. and meet at a straight angle.C. and are coplanar and do not intersect.D. and are not in the same plane.
If the point (x, y) is on the x–axis, which of the following must be true?
In the figure below, points X, Z, Q, R, and S lie in plane P.Points T and Y do not lie in plane P.For each part below, fill in the blanks to write a true statement.PZQRSTXY(a)Suppose line RZ is drawn on the figure.Then RZ and are distinct lines that intersect.(b)Another name for plane P is plane .(c)Y, , and are distinct points that are collinear.(d)Q, , , and are distinct points that are coplanar.
If , which statement is true?A. and are not in the same plane.B. and meet at a right angle.C. and meet at a straight angle.D. and are coplanar and do not intersect.SUBMITarrow_backPREVIOUS
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.