Sequences of Transformations
Congruent Figures
Vocabulary
Mix & Match
Random
100
What two transformations are needed to move a figure 4 units right and then flip it over the x-axis?
Translation & Reflection
100
What does it mean for two figures to be congruent?
The figures have to be the same size and shape.
100
A transformation that slides a figure without turning it.
Translation
100
What transformation takes (2,3) → (2,-3)?
Reflection across x-axis
100
Which body parts never stop growing and you can't trim.
Nose and Ears
200
Give a possible sequence of two transformations that maps a figure onto itself.
Rotate 360 degrees & reflect across a line of symmetry.
200
True or False: A figure and its reflections across the y-axis are congruent.
True. Reflections preserve size and shape.
200
A transformation that turns a figure about a point.
Rotation
200
What transformation takes (4,-1) → (-4,-1)?
Reflection across y-axis
200
What is the oldest chocolate bar in the USA still in production?
Hershey
300
What sequence of transformations would move figure 1 to figure 2?
Rotation 90 degrees counterclockwise.
300
Two polygons are congruent. What types of transformations can show this congruence?
Rigid transformations: reflections, rotations, translations
300
A transformation that flips a figure across a line.
Reflection
300
After a 180° rotation about the origin, the point (5,-2) moves to where?
(-5,2)
300
How can you make the number 7 even without using math operations?
Dropping the S
400
What single transformation could replace this sequence of transformations: Rotate a figure 90 degrees about the origin, then reflect across the y-axis.
Reflection across the x-axis.
400
A rectangle is reflected across the y-axis and translated up 5. Is the new figure congruent to the original?
Yes
400
The point around which a figure is rotated.
Point of rotation
400
How can a shape go from quadrant 1 to quadrant 3 and what would the signs of their coordinates be?
both coordinates are negative
400
What is the oldest football team?
Arizona Cardinals
500
A point at (1,1) is translated (2,3) and then rotated 90 degrees counterclockwise. Where does it end up?
(-4,3)
500
Explain how you could prove two figures are congruent using a sequence of transformations
By showing one can be mapped exactly onto the other without changing side lengths or angles.
500
A figure that shrinks or grows?
Dilation
500
You rotate a polygon 90° CCW, then reflect it across the x-axis. Is the new figure congruent to the original?
Yes
500
Where can you have a longer day then a longer year?
Venus