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Triangle ABC has been rotated 90° to create triangle DEF. Using the image below, prove that lines BC and EF have the opposite and reciprocal slopes. You must show all of your work to receive credit.

Triangle ABC has been rotated 90 to create triangle DEF Using the image below prove that lines BC and EF have the opposite and reciprocal slopes You must show a class=

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BC and EF have the opposite and reciprocal slopes.

According to the statement

we have given that the

Triangle ABC has been rotated 90° to create triangle DEF.

And we have to find the lines BC and EF have the opposite and reciprocal slopes.

So, For this purpose,

We know that the

Slope of a triangle represents the angle that are formed between positve X-axis moving anticlockwise towards y-axis.

And From triangle ABC

The slope of triangle ABC

AB = 4 and AC = 4 Then

slope of triangle = perpendicular / base

slope of triangle ABC = 4/4

so, it become tan45 degree which is 1.

So, Slope of BC is 1.

slope of triangle DEF = 4/-4

so, it become tan135 degree which is -1.

So, Slope of EF is -1.

Slope of ABC is 1, where as

Slope of DEF is -1

∴ BC and EF have the opposite and reciprocal slopes.

Learn more about the slopes here

https://brainly.com/question/3493733

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