You didn't supply a list. The so-called rigid transformations of translation, rotation and reflection create congruent triangles.
Generally it's dilation by a factor about a point is preserves similarity but not congruency. Any transformation which includes such scalings but is otherwise rigid also preserves similarity but not congruency.
So basically, these questions want you to find the variable<em> x</em>, which you can do by isolating the variable.
3) x * 1/2 = 1/3 <-- To isolate the x in this case, you want to divide both sides by 1/2, aka multiply by 2.
x = 2/3
4) x * 3 = 2 <-- To isolate x, you want to divide both sides by 3
x = 2/3
5) 1/4 * x = 1/6 <-- To isolate x, you want to divide both sides by 1/4, aka multiply by 4.
x = 4/6 = 2/3
6) 4 1/2 * x = 1 1/2 <-- First, let's make these into improper fractions
9/2 * x = 3/2 <-- To isolate x, you want to divide both sides by 9/2, or multiply both sides by 2/9
x = 6/18 = 2/3
Answer:
angle 3 and angle 4 are equal because the diagonals/2 are equal. Angle 4 equals angle 1 due to opposite interior angles thereom. 90 degrees minus 37=53 degrees which is angle 2. Since angle 2 is equal to the angle GKH, 53+53=106 and 180-106=74 degrees, and due to vertical angles, angle 7 is 74 degrees.
12/100= 0.12
0.12* 10 = 1.2
12 - 1.2 = 10.8
1.2*6 = 7.2
10.8 + 7.2 = 18
To get the graph of g(x) = f(x-1) -2, you'd shift the graph of f right 1 unit and down 2 units.
The "x-1" in f(x-1) is a horizontal shift (left/right) and those are the opposite of what you'd think. Subtraction moves right, addition moves left.
The "-2" at the end is a vertical shift and that is what you'd expect with subtraction moving you down.
Go with the second answer:
The graph of f is shifted to the right 1 unit and down 2 units to create the graph of g.
