Figure A and figure B are similar right triangles. Which series of transformations could have been applied to Figure A to create Figure B?

A dilated 150% then reflected across the x-axis

B dilated 250% then reflected across the y-axis

C dilated 250% then rotated 270 degrees clockwise about the origin

D dilated 500% then rotated 90 degrees counterclockwise about the origin

Step-by-step explanation:

The legs of A seem to be about 2 and slightly less than 2 units in length.

The legs of B seem to be about 4.5 and 4.5 units in length

4.5/2 = 2.25 or 225% increase so NONE OF THE ABOVE answer is correct.

If we ASSUME that the legs of B are supposed to reach 5 and 5 (they don't) or the legs of A are both supposed to be 1.8 (hard to say, certainly the bottom one seems to exceed that)

then the dilation would be  5 / 2 = 2.50 or 250%

Which means we have an option of B) or C) to choose from

Reflecting A across the y axis would put B in the first quadrant so NO.

Rotating A  270° about the origin would give us B in the third quadrant which is correct.

So the CLOSEST answer is option C) (dilation not with standing)

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

step-by-step explanation: