Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. release your mouse button when the item is place. if you change your mind, drag the item to the trashcan. click the trashcan to clear all your answers. find the length of the hypotenuse of an isosceles right triangle whose legs are 1 unit in length.

The  length of the hypotenuse of the isosceles right triangle with leg of length  unit is:

√2 units.

Step-by-step explanation:

Let a and b denote the leg of a right triangle and c denote the hypotenuse of the right triangle.

Now we apply the Pythagorean Theorem as:

Now as triangle is isosceles.

Hence, a=b=1 unit

         Hence, the length of the hypotenuse is:

              √2 units.

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'.