Reflections

Question 1

Reflection

Answer 1

a transformation that “flips” a figure over a certain line in the coordinate plane

Question 2

Does reflection change the figure’s orientation?

Answer 2

yes

Question 3

What type of line reflected over affects the top and right reflection?

Answer 3

diagonal line

Question 4

Are reflections rigid?

Answer 4

yes

Question 5

On a coordinate plane, if the line doesn’t actually exist what type of line do you draw? (eg. line of reflection)

Answer 5

dotted

Question 6

Rule if pre-image reflected over the y-axis

Answer 6

(x, y) -> (-x, y)

Question 7

Rule if pre-image reflected over the x-axis

Answer 7

(x, y) -> (x, -y)

Question 8

Rule if pre-image reflected over the line y=x

Answer 8

(x, y) -> (y, x)

Question 9

Rule if pre-image reflected over the line y=-x

Answer 9

(x, y) -> (-y, -x)

Question 10

What does notation mean in the context of transformations?

Answer 10

vector

Question 11

What do you do if you have 2+ reflections on the same graph?

Answer 11

Use prime, then double prime, then triple prime, etc.

Question 12

What happens if there are too many prime symbols on a number?

Answer 12

use a little roman number as a superscript

Question 13

In what order do you write directions when describing transformations in words?

Answer 13

left/right then up/down

Question 14

What can you use to solve a system of equations?

Answer 14

substitution