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Q: The slope of line ab is 3 what is the slope of line CD if CD is parallel to ab?

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answerDraw two lines of equal lengths perpendicular to AB on the same side of AB and extend the line formed by joining the two end points of the two perpendicular lines which does not line on the line AB.

If point a has coordinates (x1,y1), and point b has coordinates (x2, y2), then the slope of the line is given by the formula: m = (y2-y1)/(x2-x1).

Let A, B, C and D be any four points on a non-vertical straight line. Suppose the vertical line from B meets the horizontal line from A at P, and the vertical line from C meets the horizontal line from D at Q. Now, AP and CQ are both horizontal so they are parallel and AC is an intercept. Therefore the corresponding angles BAP and DCQ are equal. BP and DQ are both vertical so they are parallel and BD is an intercept. Therefore the corresponding angles ABP and CDQ are equal. AP and CQ are both horizontal and BP and DQ so that angle APB = angle CQD = 90 degrees. Thus the corresponding angles of triangle ABP are congruent to those of triangle CDQ. Therefore the ratios of their sides is the same. AB/CD = AP/CQ = BP/DQ. In particular, AP/CQ = BP/DQ. By cross multiplication, BP/AP = DQ/CQ or, slope calculated from AB = slope calculated from CD.

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.

Draw and label line Ab

Related questions

The slope of line AB will be 1/2. Two parallel lines will always have the same slope, so if you know the slope of one line that is parallel to another, you know the other line's slope.

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.

If the lines AB and CD are parallel then they both will have the same slope of -8 but with different y intercepts

Slope of perpendicular line is the negative reciprocal. So it is -1/4

It is the additive property of equality, as the additive property of length, as applied to adjacent or parallel line segments.

Every line that's exactly on the AB line.

line AB intersects with line CD

-1/2 or -0.50

0.5

answerDraw two lines of equal lengths perpendicular to AB on the same side of AB and extend the line formed by joining the two end points of the two perpendicular lines which does not line on the line AB.

The question cannot be answered since it is inconsistent. It first states that AB equals 5 cm and then AB equals 6 cm. Please check your typing and resubmit.

For two items (Planes, lines, line segments, ect.) to be perpendicular that means that they meet at a 90 degree angle. Perpendicularity is denoted by the ⊥ symbol. For example line AB ⊥ line CD would mean that the line AB would be perpendicular to the line CD.

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