Question

What series of transformations from Triangle ABC to Triangle DEF shows that Triangle ABC is congruent to Triangle DEF?

a) A reflection across the y-axis and then a translation of 1 unit right, 2 units up
b) A clockwise rotation of 90 degrees followed by a translation to the right 4 and up 4
c) A reflection across the x-axis followed by a translation of 1 right and 1 down
d) A reflection across the line y=x followed by a rotation of 270 degrees

Answer 1

C

Explanation:

To show triangles ABC and DEF congruent by putting them oneach other, you need the following transformations:

reflect triangle DEF across the x-axis

then move triangle DEF left 1 unit

finally move triangle DEF down 1 unit

the option that has all this is C