Use rules of transformations to answer each of the items below. Be sure to answer in complete sentences, and when necessary, include your calculations. 1. Create your own set of coordinates for △BLU and graph it on a coordinate plane. Label each of the triangle's vertices.
2. Write a scenario involving the dilation of △BLU onto its image. In the scenario, include the scale factor between the similar triangles and the coordinates for the image. Graph the Image on the same coordinate plane as its pre-image.
3. Use the distance formula or Pythagorean Theorem to prove mathematically that △BLU is similar to its image. Include all necessary calculations..

Thats a lot I m sorry

a and b are equal

step-by-step explanation:

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).