A triangle is reflected across line L and then across line m. If the lines intersect, what kind of isometry is this composition of reflections?

Question

translation
rotation
reflection
glide reflection*****?

After a glide reflection, the point x is mapped to the point x' (3, -2). The translation part of the glide reflection is (x, y) ---> (x + 3 + y), and the line of reflection is y = -1. What are the coordinates of the original point x?

(6, 0)
(-1, 1)
(-2, -2)
(0, 0)

#1 I'm not sure on. I can never solve questions like #2. And in #2, the "--->" is a right arrow. Thanks

Answer 1

it was b and c

Answer 2

for the second question it is (0,0)

Answer 3

Sam is correct

Answer 4

P(2,3)—> P’ by a glide reflection with the given translation and line of reflection. What are the coordinates of P? 8. (X,y)—>(x+3,y-2);y=0
9.(x,y)—>(x-4,y+2);x=0

Answer 5

it is b rotation for the first one

Answer 6

Sam was right....

Answer 7

The full answers are:
1. D) Reflections and Glide Reflections
2. A) Translation
3. B) Rotation
4. C) Reflection
5. D) (0,0)
But I'm in honors so it might be different ^w^ Hope it helps anyway!

Answer 8

... good

Answer 9

... is still right!!