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# Transformations

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Transformations
• • What kind of transformation is this?
Reflection
•  20
• • What kind of transformation is this?
Rotation
•  20
• • How did the triangle move?
Rotated 90 degrees clockwise
•  20
• What is a rotation?
When a figure turns or rotates.
•  15
• • How can I get triangle A to triangle C in two movements?
2 counterclockwise rotations by 90 degrees
•  20
• What is a translation?
When you slide a figure
•  10
• • What kind of transformation is this?
A rotation
•  15
• • What kind of transformation is this? How did it go through the transformation?
Reflection over the x-axis.
•  25
• • How did the blue triangle translate to the red triangle?
5 units right, 3 units down.
•  15
• What is a reflection?
When you flip an image
•  10
• • How can I move from triangle C to A in just 1 move?
A reflection
•  15
• What two directions can you rotate?
Clockwise and Counterclockwise
•  10
• • How can I get from triangle PMT to triangle XYZ?
Reflect over x-axis then translate 10 units to the left.
•  20
• • If we reflected this over the x-axis, what would be the new coordinates of point b be?
(3,-2)
•  25
• What would to coordinates of the point be after a translation left 6 units and down 4?
(-5,0)
•  25
• • What transformation do we use to go from the orange triangle to triangle s?
A reflection over the y-axis.
•  15
• The points (-4, 8) is dilated by a scale factor of 5. What is the new point?
(-20, 40)
•  15
• • The purple triangle was dilated and resulted in the green triangle. What is the scale factor?
2
•  20
• The point (-5, 6) is rotated 90˚ clockwise about the origin. What are the coordinates of the new point?
(6,5)
•  15
• The point (-6, 8) is dilated by a scale factor of 2/3. What are the coordinates of the new point?
(-4, 16/3)
•  20
• Which transformation results in a similar figure (not a congruent one)?
translation
rotation
reflection
dilation
•  15
• A triangle is dilated with a scale factor of "x". If one of the vertices was at (-7, -2), which ordered pair represents the vertex after the dilation?
(-7 - x, -2 - x)
(-7x, -2x)
(-7 + x, -2 + x)
(-7/x, -2/x)
•  20
• • What 2 transformation occurred to move the blue triangle to the brown triangle?
Reflection (over the x-axis), Translation (5 left)
•  25
• • Are the blue and the pink triangle similar or congruent?
congruent
•  15
• D
•  25
• When you reflect across the y-axis, which coordinate do you not change: x or y?
y
•  15
• A figure is translated 8 units left and 2 units up. Write the rule.
(x - 8, y + 2)
•  20
• • Which rule was used to change ∆ABC to ∆A'B'C'?
(x+3, y+3)
(x-3, y-3)
(3x, 3y)
(1/3 x, 1/3 y)
•  20
• If the scale factor is greater than 1, will the new figure be bigger or smaller than the original?
bigger
•  20
• A square is rotated 180˚ about the origin. If one of the vertices was at (4,5), where will the new vertex be after the rotation?
(-4,-5)
•  15