The red figure is the transformed image of the blue figure. Gloria correctly identifies a single transformation that can move the blue figure onto the red figure. Layla correctly identifies a sequence of two transformations that can be used. Use the drop-down menus below to complete the statements describing the transformations they used.

The answers are;

First the blue image is translated -2x to the second quadrant quadrant and image (-x, y)

Then it is rotated 180° to get the the red figure with coordinates (x, -y)

Step-by-step explanation:

Two transformation that is equivalent to a reflection

We note that the x-coordinate values remain the same while the y-coordinate values change from +y to -y

Therefore, the two transformations are;

First the blue image with coordinates (x, y) is translated by -2x using the transformation T(-2x, 0) to get (-x, y)

Then it is rotated 180° to get the point (x, -y) which is the coordinate of the pink image.

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.