Question

Which glide reflection describes the mapping ABC to DEF?

https://dlap.gradpoint.com/Resz/~yUA6AAAAAAgA42nJ9M7UQA.O3AMxB6kBBqC0wFyhrYX6B/7234256,163/Assets/questions/test/geometry/geocomp/mc120-1.jpg

Answer 1

@Vocaloid

Answer 2

(x, y) (x + 1, y – 2) and reflected across x = 0


(x, y) (x + 2, y – 1) and reflected across y = −1


(x, y) (x + 1, y – 2) and reflected across y = −1


(x, y) (x + 1, y – 2) and reflected across y = 0

Answer 3

any attempts so far? points A and D correspond to each other so you just need to apply the transformations to point A and see which one gets you to point D

Answer 4

the last one?

Answer 5

that's a good attempt but not quite

Answer 6

first we translate this point (x+1,y-2) as indicated

Answer 7

what line do we have to reflect to get that green triangle to DEF?

Answer 8

x?

Answer 9

notice how we can reflect across this line to get from the upper triangle to DEF

what is the equation of the blue line?

Answer 10

x+1,y-2?

Answer 11

what is the equation of a horizontal line passing through y = -1?

Answer 12

x+2, y-1?

Answer 13

what is the slope of a horizontal line?

Answer 14

0

Answer 15

good, so what is the equation of a line, in y = mx + b form, of a horizontal line passing through y = -1?

Answer 16

if slope = 0 then the value of m is 0.

therefore the equation of a horizontal line passing through y = -1 is, simply, y = -1

therefore we must apply the transformation (x + 1, y – 2) and reflect across y = −1 as our solution.