① If two angles are identical, they are vertical angles. ② If AB=BC, B is the midpoint of AC. ③ If each two of three straight lines intersect, there must be three intersections. ④ In one plane, there is only one straight line perpendicular to the known straight line through a po...
(ii)If two parallel lines are intersected by a transversal, then alternate interior angles are equal. (iii)Two lines perpendicular to the same line are perpendicular to each other. (iv)Two lines parallel to the same line are parallel to each other. (v)If two parallel lines are intersect...
Can lines and planes intersect with each other? Explain. Determine whether the two lines L_1 : x=t, y = 1-t, z=2+3t\L_2 : x = 2+2s, y = 2s, z = 3+s are parallel, skew or intersecting. Given the descriptions of two lines, find...
By a change of coordinate system, I mean simply choosing one of the vertices of the rectangle to be the origin, and using two perpendicular unit vectors for each of the adjacent sides (to the corner). Then, since you know the length of the sides of the rectangle, you can easily deduce...
Show that the line in which the planes x + 2y - 2z = 5 and 5x - 2y - z = 0 intersect is parallel to the line x = -3 + 2t, y = 3t, z = 1 + 4t. Write a paragraph proof of this theorem: In a plane, if two lines are perpendi...
2 True or false.(1)On the same piece of paper,if both the folding line a and the foldingline c are perpendicular to line b,then a //c.……()(2)Two parallel lines do not intersect.…()(3)Passing through a point not on a given line,we can draw infinitelymany lines parallel to ...
51、行线 perpendicular lines垂直线 plane 平面 polygon 多边形 quadrant象限whichof the following must be an odd integer?quadrilateral radiusradian四边形半径 弧度(弧长/半径)regularpolygon正多边形rectangular solidrectangle长方体长方形right angle right triangle squaresphere sidesurface area straight angle segment...
1.4 Intersections In geometry, figures intersect if they have any points in common. The intersection of two or more figures is the point or points that the figure have in common. A s t Postulate 3 Postulate 3: Intersection of Two Lines If two lines intersect, then their intersection is a...
10. B (Estimated Difficulty Level: 5) One way to do this question is to use the fact that the product of the slopes of two perpendicular lines (or line segments) is −1. The slope of the line segment on the left is (a − 0)/(2 − 0) = a/2. The slope of the line ...
A pair of perpendicular straight lines is drawn through the origin forming with the line2x+3y=6an isosceles triangle right-angled at the origin. The equation to the line pair is (a)5x2−24xy−5y2=0 (b)5x2−26xy−5y2=0