Rigid Motions 1: Translations and Reflections

Translations and Reflections

Multiple Choice

Congruent geometric figures have the:

• Same size

• Sides Equal

• Same Size and Same Shape

• Angles Equal

Multiple Choice

Which is the pre-image (first one)?

• Purple

• Blue

Multiple Choice

How do you correctly write an ordered pair?

• x,y

• (x,y)

• (y,x)

• (a,b)

Multiple Choice

In which quadrant is letter P?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Multiple Choice

Give the coordinates for POINT I.

• (-2, 5)

• (-2, -5)

• (2, 5)

• (2, -5)

Translations

• A translation is a transformation that slides a figure along a straight line.

• To translate a figure in a coordinate plane, add or subtract the given number of units to the preimage coordinates.

• Positive values translate a figure up or to the right.

• Negative values translate a figure down or to the left.

Multiple Choice

What does a translation do to a figure on the coordinate plane?

• Rotates it

• Flips it

• Shrinks it

• Slides it

Multiple Choice

What does this transformation say to do? (x, y) -----> (x, y +4) 

• slide down 4

• slide up 4

• slide right 4

• slide left 4

Multiple Choice

Translate the pink shape to the blue shape...

• 5 Right

  2 Down

• 5 Left

  2 Up

• 3 Right

  1 Down

• 3 Left

  1 Up

Multiple Choice

Identify the transformation from ABC to A'B'C'.

• (x+8, y+4)

• (x-8, y-4)

• (x+4, y+8)

• (x-4, y-8)

Multiple Choice

Write a rule for the translation: Move 2 right and 1 down

•  (x -1, y  + 2)

•  (x -2, y  + 1)

•  (x +2, y  - 1)

• (x +1, y  -  2)

Multiple Choice

How is triangle ABC being translated to triangle A'B'C'?

•  left 8, up 3

• left 4, up 9

• right 8, down 3

• right 4, down 9

Reflections

• A reflection is a transformation that is a flip.

• A point or figure is reflected in a line called the line of reflection.

• A reflection is a mirror image of the preimage.

• Each point in the image and preimage is the same distance from the line of reflection.

• The image has the same shape and size as the preimage.

Multiple Choice

Where will A' be at, if triangle ABC is reflected across the y-axis using the rule: (x,y) --> (-x,y)?

• (2,1)

• (1,-2)

• (-1,2)

Multiple Choice

Reflect Point C over the y-axis:

• (-3, 2)

• (3,2)

• (-2,3)

• (3,0)

Multiple Choice

If the dotted figure is the image, the original figure was reflected over the ...

• x-axis

• y-axis

Multiple Choice

Is the picture being reflected over the y-axis or x-axis?

• y-axis

• x-axis

Multiple Choice

What is a reflection?

• When you turn an object around a point.

• When you slide an object form one place to another.

• When you flip or mirror an object across a line.

• When you resize an object.

Multiple Choice

Which represents translating right 4 and down 2?

• (x - 2, y + 4)

• (x - 4, y - 2)

• (x + 4, y + 2)

• (x + 4, y - 2)

Multiple Choice

Determine where X' would be if you translated X 3 units to the left and 9 units down.

• (-4, 4)
• (-10, 2)
• (-4, -5)
• (-1, 5)

Multiple Choice

Which answer shows a reflection across the y-axis?

• a
• b
• c
• d

Multiple Choice

Which answer shows a reflection across the x-axis?

• d
• c
• b
• a

Multiple Choice

Find K' if the figure is reflected across the x-axis

• (4, 1))
• (-1, -4)
• (1, -4)
• (1, 4)

Multiple Choice

You want to reflect a figure over the horizontal line shown. 
What directions would you give? 
Reflect over the line: ________

• x = -4
• y = -4
• x - y = 4
• None of these