Triangle abc is similar to triangle def. using the image below, prove that lines bc and ef have the same slope. you must show all of your work to receive credit.

Answer with Step-by-step explanation:

We are given that  triangle ABC and triangle DEF are similar.

We have to prove that slope of line BC is equal to slope of EF.

When two triangles are similar then their shapes are same but their size can be different or same.

Slope formula:

Using the formula

Slope of BC passing through the points B(-2,4) and C(1,1) is given by

Slope of EF passing through the points E (4,4) and F(6,2) is given by

Hence, slope of BC is equal to slope of EF.

Find the slope of the line BC and the slope of the line EF and compare them. See explanation.

Step-by-step explanation:

You can find the slope with the following formula:

Slope of the line BC

Notice in the figure that the points "B" and "C" are:

Then, you can identify that:

Substituting these coordinates into the formula for calculate the slope, you get that the slope of the line BC is:

Slope of the line EF

The points "E" and "F" are:

Then, you can identify that:

Substituting these coordinates into the formula for calculate the slope, you get that the slope of the line EF is:

Therefore:

126 maybe. sorry

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