Full Remote Day 10/28/20

Unit 3 - Rigid Motions

Full Remote Day 10/28/20

Open Ended

Finish the following sentence: A rigid motion preserves...

Multiple Choice

Which of the following is not an example of a rigid motion?

• reflection

• rotation

• dilation

• translation

Open Ended

A dilation does not preserve _____________, which is why it is NOT an example of a rigid motion.

Multiple Select

Select ALL transformations below that preserve side length and angle measure.

• $\left(x,\ y\right)\rightarrow\left(-y,\ x\right)$

• $\left(x,\ y\right)\rightarrow\left(x+3,\ y-1\right)$

• $R_{origin,\ 270\degree}$

• $r_{y=x}$

• $\left(x,\ y\right)\rightarrow\left(3x,\ y+3\right)$

Reflection Rules

• The x-axis is also called y=0

• The y-axis is also called x=0

Multiple Choice

 $\Delta DEF$  is the image of  $\Delta ABC$  after a relfection.  What is the line of reflection?

• y=0

• x=0

• x=1

• y=x

Multiple Choice

What are the coordinates of G', the image of G after a reflection over the line x=0.

• (1, -4)

• (-1, -4)

• (1, 4)

• (-1, 4)

Multiple Choice

Point P(5, 4) is reflected over the line $y=-x$  to create P'.  What are the coordinates of P'?

• (4, 5)

• (-5, -4)

• (-4, 5)

• (4, -5)

• (-4, -5)

Rotation Rules

• An angle of rotation that is positive is turned in the counter-clockwise direction.

Start at 3:08

https://www.youtube.com/watch?v=pqVKmLVIfl8&t=75s

Multiple Choice

What is the image of the point (-2, 5) after a rotation of  $90\degree$ counterclockwise around the origin?

• (-2, 5)

• (-5, -2)

• (-5, 2)

• (-2, -5)

Multiple Choice

Which transformation would take figure A onto figure B?

• a reflection over the line y = -x

• a rotation $180\degree$ about the origin

  
  

• a rotation $90\degree$ about the origin

• a reflection over the line y=x

Regents Question

After triangle ABC is rotated

90° around the origin, is angle measure preserved? Which coordinates are correct for the given vertex?

(1) Yes and B'(7, -5)

(2) No and A'(5, -2)

(3) No and A'(-5, 2)

(4) Yes and C'(-1, 4)

Translation Rules

•  $T_{3,\ -2\ }$  

•  $\left(x+3,\ y-2\right)$  

• right 3, down 2

Multiple Select

The image of the point (4,−3) under a translation is (1, 3). Which notation accurately represents this translation?
Check ALL that apply.

•  $T_{-3,\ 0\ }$  

•  $T_{-3,\ 6}$  

•  $\left(x-3,\ y+6\right)$  

•  $\left(x-3,\ y\right)$  

Open Ended

The image point of A after a translation right 1 unit and down 3 units is the point A'(5,−3). Determine the coordinates of the pre-image point A.

Delta Math Assignment

REMINDER:

Bring your compass tomorrow!