I NEED HELP RN PLS ASAP which series of transformations can be used to prove that X'Y'Z is congruent to XYZ, as shown by the graphs below?

A) Rotate XYZ 90 degrees counterclockwise about the origin and then translate it 8 units to right

B) Reflect XYZ across the line y = - x and then translate it 4 units to the left

C) Rotate XYZ 90 clockwise about the origin and then reflect it across X’Y that resulted from the rotation

D) Reflect XYZ across the line y = -x and then reflect it across X’Y that resulted from the first reflection

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.

-4, -2, 1, 4

step-by-step explanation:

domain = x values

range = y values