Unit 3 - Rigid Motions - Translations

Question 1

Definition of Translation (3)

Answer 1

1. Slide all the points
2. In the same distance
3. In the same direction

Question 2

What do you need to know to perform a translation?

Answer 2

Translation Vector

Question 3

What are two things that the translation vector tells us?

Answer 3

1. Direction to slide the preimage
2. Distance to slide a preimage

Question 4

Vector Notation

Answer 4

<A,B>

A - Horizontal Movement (left, right)
B - Vertical Movement (up/down

Question 5

Formula for Translation

Answer 5

(X+A, X+B)

Question 6

Is distance, angle measure and orientation preserved in translations?

Answer 6

Distance: Yes
Angle Measure: Yes
Orientation: Yes

Question 7

Are translations a rigid motion and why?

Answer 7

Yes, because distance and angle measure is preserved.

Question 8

What are glide reflections? (3)

Answer 8

1. Two Transformations
2. Line of Reflection
3. Translation in the direction of the LOR

Question 9

How do you know if a glide reflection occured?

Answer 9

The vector is PARALLEL to the LOR

Question 10

Formula for Glide Reflections when there is a reflection over the x - axis.

Answer 10

(x, 0)

Question 11

Formula for Glide Reflections when there is a reflection over the y - axis

Answer 11

(0, y)

Question 12

Formula for Glide Reflections when there is a reflection over y = x

Answer 12

X = Y

(x,y) or (-x,-y)

Question 13

Is a glide reflection a rigid motion?

Answer 13

Yes, for distance and angle measure is preserved

Question 14

What type of isometry are glide reflections?

Answer 14

Opposite, because a reflection occured.