Question

in the sketch below, the coordinates of the vertices of triangle ABC are A(2:1), B(-2:-3) and C(-4:3) with D(-1: 2) on AC and E(-3;0) on BC. C4.3) 0-1:2 E 3.0) 1-2-3 1.1 Calculate the gradients of AB and DE. 1.2 What can you deduce about lines AB and DE? Give a reason for your answer.​

Answer 1

1.1 gradients of both AB and DE are 1

1.2 the lines are parallel

Explanation:

1.1

You can see from the graph, that both segment AB and segment DE have a rise of 1 unit for each run of one unit. The slope is the ratio of rise to run, so is 1/1 = 1.

The slope of each segment is 1.

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1.2

Lines with the same slope are parallel.

Lines AB and DE are parallel.