HELP PLS 10PTS Two similar triangles below are shown on the coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x axis and from positive 6 to negative 6 on the y axis. A triangle ABC is shown with vertex A on ordered pair negative 2, negative 1, vertex B on ordered pair 0, 0, and vertex C on ordered pair 1, negative 3. A triangle A prime B prime C prime is also shown with vertex A prime on ordered pair negative 4, 2 , vertex B prime on ordered pair 0, 0 and vertex C prime on ordered pair 2, 6. Which set of transformations has been performed on triangle ABC to form triangle A′B′C′? Dilation by a scale factor of 4 followed by reflection across the x-axis Dilation by a scale factor of 2 followed by reflection across the x-axis Dilation by a scale factor of 4 followed by reflection across the y-axis Dilation by a scale factor of 2 followed by reflection across the y-axis

The set of transformation that has been performed on triangle ABC

to form triangle A'B'C' is " Dilation by a scale factor of 2 followed by

reflection about the x-axis " ⇒ 2nd answer

Step-by-step explanation:

The set of transformation that has been performed on triangle ABC

to form triangle A'B'C' is " Dilation by a scale factor of 2 followed by

reflection about the x-axis " ⇒ 2nd answer

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).