Question

Which of the following sets of points are reflections of each other across the x-axis?

A. (-6, -9) → (-6, -9)
B. (-6, -9) → (6, 9)
C. (-6, -9) → (-6, 9)
D. (-6, -9) → (-9, -6)





Triangle ABC is located at A(-4, 5), B (-4, -1), and C(-1,1). A translation of the triangle is located at A’(-2, 8), B’(-2, 2), and C’(1, 4). How is the triangle translated?
A. Triangle ABC is translated 3 units left and 2 units down.
B. Triangle ABC is translated 2 units left and 3 units up.
C. Triangle ABC is translated 2 units right and 3 units up.
D. Triangle ABC is translated 3 units right and 2 units up.

Answer 1

reflection across x axis means (x,y) turns to (x,-y)

just see which 2nd number becomes the oposite of the first one
that is option C



triangle
pick a point
(x,y)
x is left right
y is up down

so from A to A' it is
from (-4,5) to (-2,8)
from -4 to -2 is 2 units to right
from 5 to 8 us 3 units up

so 3 up and 2 right
2 right and 3 up


C is answer to both quesitons

Answer 2

Which of the following sets of points are reflections of each other across the x-axis?

answer is C. (-6, -9) → (-6, 9)

Triangle ABC is located at A(-4, 5), B (-4, -1), and C(-1,1). A translation of the triangle is located at A’(-2, 8), B’(-2, 2), and C’(1, 4). How is the triangle translated?

answer
C. Triangle ABC is translated 2 units right and 3 units up.