Quiz on Transformation

Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• B
• C
• D

Triangle IJK has the coordinates listed.

I (5, -8) J (10, -8) K (7, -4)

Where is J' after a reflection over the y-axis?

• (10, 8)

• (-10,8)

• (-10, -8)

• (-8, -10)

Which of the following is the algebraic representation for a translation 7 units left and 6 units up?

• (x + 7, y - 6)

• (x - 7, y + 6)

• (x + 6, y - 7)

• (x - 6, y + 7)

Which is the algebraic representation for a rotation 180 degrees clockwise?

• (y, x)

• (-y, x)

• (y, -x)

• (-x, -y)

Which is true about the transformation shown?

• The graph shows a translation, and the pre-image and the image are congruent.

• The graph shows a reflection, and the pre-image and the image are congruent.

• The graph shows a translation, and the pre-image and the image are similar (same shape, different size).

• The graph shows a reflection, and the pre-image and the image are similar (same shape, different size).

Match the following TRANSLATIONS

• left 3, up 4

• (x, y)-->(x-3, y-4)

• right 3, down 4

• (x, y)-->(x+3, y-4)

• left 3, down 4

• (x, y)-->(x+5, y+2)

• left 5, up 2

• (x, y)-->(x-3, y+4)

• right 5, up 2

• (x, y)-->(x-5, y+2)

A reflection over the x-axis causes the ​ (a)   to stay the same and the ​ (b)   to switch.

The algebraic representation (motion rule) is ​ (c)  

• x-value
• y-value
• (x, y)-->(x, -y)
• (x, y)-->(-x, y)

A reflection over the y-axis causes the ​ (a)   to stay the same and the ​ (b)   to switch.

The algebraic representation (motion rule) is ​ (c)  

• y-value
• x-value
• (x, y)-->(-x, y)
• (x, y)-->(x, -y)

Match the following transformations:

• (x, y)-->(x, -y)

• Reflection over y-axis

• (x, y)-->(-x, -y)

• (x, y)-->(y, -x)

• Reflection over x-axis

• (x, y)-->(-x, y)

• (x, y)-->(-y, x)

Which of the following does NOT preserve congruence?

• Dilations

• Translations

• Reflections

• Rotations