After a dilation with a center of (0, 0), a point was mapped as (1, 4) → (4, y). a student determined y to be 16. evaluate the student's answer.

a.
the student is correct.
b.
the student incorrectly calculated the scale factor to be 4.
c.
the student incorrectly multiplied by the scale factor instead of adding it.
d.
the student incorrectly added the scale factor instead of multiplying by it.

2.under a dilation centered at the origin, the image is congruent to the preimage. what is the scale factor?

a.
–1 or 0
c.
only 1
b.
0 or 1
d.
–1 or 1

Which of the following would be a correct step in proving that triangle abc is congruent to triangle cda? a. use a protractor to measure the angles and show that all the corresponding angles are equal in measure. this will allow you to prove congruence by aaa. b. show that segment ab is parallel to segment cd and segment ad is parallel to segment cb. this will allow you to prove congruency by asa. c. show that is segment ab is perpendicular to segment ad. this will allow you to prove congruence by sas. d. none of the above.

Arrange the steps to solve this system of linear equations in the correct sequence. x + y = -2 2x – 3y = -9 tiles subtract 3x + 3y = -6 (obtained in step 1) from 2x – 3y = -9 (given) to solve for x. substitute the value of x in the first equation (x + y = -2) to get y = 1. the solution for the system of equations is (-3, 1). x = -15 the solution for the system of equations is (-15, 13). add 3x + 3y = -6 (obtained in step 1) to 2x – 3y = -9 (given), and solve for x. x = -3 substitute the value of x in the first equation (x + y = -2) to get y = 13. multiply the first equation by 3: 3(x + y) = 3(-2) 3x + 3y = -6.

Im so bad at fractions they are not my best math thing to work on