Solve this problem with full sentences and explain it . question 2  (02.05 mc) triangle pqr is transformed to triangle p'q'r'. triangle pqr has vertices p(8, 0), q(6, 2), and r(−2, −4). triangle p'q'r' has vertices p'(4, 0), q'(3, 1), and r'(−1, −2). plot triangles pqr and p'q'r' on your own coordinate grid. part a: what is the scale factor of the dilation that transforms triangle pqr to triangle p'q'r'? explain your answer. (4 points) part b: write the coordinates of triangle p"q"r" obtained after p'q'r' is reflected about the y-axis. (4 points) part c: are the two triangles pqr and p''q''r'' congruent? explain your answer. (2 points)

ANSWER TO QUESTION 1.

We plot the points:

and

We plot the image triangle also with the points,

and

See graph in attachment.

ANSWER TO QUESTION 2.

The scale factor is the ratio of the image length to the object length.

.

We need to use the distance formula to determine the two lengths.

Therefore the scale factor of the dilation is

.

.

ANSWER TO QUESTION 3

For a reflection in the y-axis we negate the x-coordinates. That means we are using the y-axis as our mirror line. The mapping is given as follows:

and

ANSWER TO QUESTION 4

We can see from the diagram that, PQR is bigger than P"Q"R".

The reason is that PQR was reduced by scale factor of half and then reflected in the y-axis to obtain P"Q"R".

Since dilation is not a rigid motion, the two triangles PQR and P''Q''R" are not equal in all respect, therefore they are not congruent.

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y > 1/3x

y < = -x + 4

hope this : )