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Yes, line segments CD and dc are considered the same because they represent the same line segment regardless of the order of the endpoints. In geometry, the notation for a line segment does not depend on the sequence of the letters; both CD and dc denote the same path between points C and D.
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Ab and Ba are the same line because there are no endpoints to a line. Therefore, you can reverse the order of the letters. So, Cd and Dc are not the same ray because the first letter is the endpoint. So on ray Cd, point C is the endpoint and d is a point on the line coming from the endpoint. On ray Dc, D is the endpoint.
line AB intersects with line CD
Any line that is parallel to another line will have the same slope. So if line AB's slope is zero and line CD is parallel to AB, then its slope will also be zero. The slope of line CD, when perpendicular to AB, will be infinity. If line AB has a slope of zero that means its just a horizontal line passing some point on the y-axis. A line that is perpendicualr to this one will pass through some point on the x-axis and therefore have an infinite slope.
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yes it is
Slope of perpendicular line is the negative reciprocal. So it is -1/4
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No. Line CD is the same as line DC, but rays are always named from the origin point, so ray DC is a ray pointing in the opposite direction from ray CD.
This is just a hunch . . . If "line CD" is a line in a sketch that you're looking at in a textbook or a homework sheet, then I really have to see it, along with any other information that's labeled in the same drawing, before I can develop an answer. (That's a big part of the reason why they print the sketch there and give you the rest of the information . . . you need all of that in order to answer the question.)
You need to provide more information in order to answer this question. However, you need to use either Subsitution or Elimination. Substitue the equation of Line AB into the equation of Line CD. E.g. Line AB y=2x Line CD y=3x+2 2x=3x+2 3x-2x=-2 x=-2 Sub x=-2 into either equation y=2(-2) y=-4 Therefore, the point of intersection is (-2, -4).