Which transformation will map square OABC onto OA'B'C'? A. a reflection over the line y = x
B. a rotation of magnitude 360° about the origin
C. a reflection over the y-axis
D. a translation of 6 units to the left
E. a rotation of 180° about the origin

Hey there! I'm happy to help!

Our first square is the one in Quadrant 1.

OPTION A

The line y=x is one that goes upwards diagonally and passes through the origin. This just cuts the square in half, so reflecting over it would do nothing.

OPTION B

Rotating something 360 degrees just keeps it in the same spot.

OPTION C

Reflecting across the y-axis would put the first square on above the second square, so this option is wrong.

OPTION D

Translating the square 6 units to the left would put it very far away.

OPTION E

Rotating the square 180 degrees will put it in the diagonal quadrant. If you rotate the square it will be right where the second square is, so this translation is E. a rotation of 180 degrees about the origin

Have a wonderful day! :D

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.