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.

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

10 b/c 5*2 =10

step-by-step explanation:

its the second choice.

step-by-step explanation:

the elements in the range will be 7 less than the elements in the domain.