Use the figures to complete the statements proving the converse of the Pythagorean theorem. Drag and drop a phrase, value, or equation into each box to correctly complete the proof.

The converse of the Pythagorean theorem states that if △ABC has sides of a, b, and c such that a² + b² = c² , then​△ABC​ is a Response area.

To prove this, consider the right triangle ​△DEF​ with sides a, b, and x. By the Pythagorean theorem, we know that for this triangle, a² + b² = x².

Since ​​a² + b² = c² and a² + b² = x²​​, it must be true that c² = x² . Because sides of triangles are positive, then we can conclude that c = x. Thus, the two triangles have congruent sides and are congruent.

Finally, if​​ ​△ABC​ is congruent to a right triangle, then it must also be a right triangle.

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step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

care to share were the trapezoid shown is ?