How would you describe this series of transformations?
Responses
Translation of (2,0)
and then reflection across the x
-axis shows that triangle ABC
is congruent to triangle A′′B"C"
.
Translation of open paren 2 comma 0 close paren and then reflection across the x-axis shows that triangle cap A cap b cap c is congruent to triangle . - incorrect
Since triangles ABC
and A′′B"C"
do not have the same orientation, they are not congruent.
Since triangles cap A cap b cap c and do not have the same orientation, they are not congruent. - no response given
Reflection across the y
-axis and then a translation of (−3,−5)
shows that triangle ABC
is congruent to triangle A′′B"C"
.
Reflection across the y-axis and then a translation of open paren negative 3 comma negative 5 close paren shows that triangle cap A cap b cap c is congruent to triangle . - not selected, this is the correct answer
Rotation of 90 degrees clockwise and then reflection across the x
-axis shows that triangle ABC
is congruent to triangle A′′B"C"
.
Rotation of 90 degrees clockwise and then reflection across the x-axis shows that triangle cap A cap b cap c is congruent to triangle . - no response given
Score
Based on the responses provided, it seems that the series of transformations includes a reflection and a translation. The correct description is:
Reflection across the y-axis and then a translation of (-3,-5) shows that triangle ABC is congruent to triangle A′′B"C".