Transformations

Transformations

By Anna Kate Rimmer

Multiple Choice

What is a translation?

• (x+k, y+k)

• (x, y) —> (x, -y)

• (x, y) —> (-x, -y)

• (xk, yk)

Multiple Choice

What is a 180 rotation?

• (x+k, y+k)

• (x, y) —> (-y, x)

• (x, y) —> (-x, -y)

• (x, y) —> (y, -x)

Multiple Choice

What is a dilation?

• (x,+k, y+k)

• (x-k, y-k)

• (x/k, y//k)

• (xk, yk)

Multiple Choice

Enlargement or reduction?  Find the scale factor!

• It's a reduction; the scale factor is 2.

• It's an enlargement; the scale factor is 2.

• It's an enlargement; the scale factor is 1/2.

• It's a reduction; the scale factor is 1/2.

Multiple Choice

What is an x axis reflection

• (x, -y)

• (-x, y)

• (-x, -y)

• (xk, yk)

Multiple Choice

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

• 90^o clockwise rotation

• 90^o counter clockwise rotation

• Reflection across the y-axis

• Reflection across the x-axis

Multiple Choice

Triangle ABC is going to be translated. How is ABC being translated if the rule (x,y) --> (x+3, y-2) is used?

• 3 up and 2 left

• 3 right and 2 down

• 3 left and 2 up

• 3 right and 2 up 

Multiple Choice

Determine where T' would be if you translated T three units to the right and six units up.

• (5, 1)

• (2, -5)

• (-1, 1)

• (8, -2)

Multiple Choice

Determine where X' would be if you reflected across the y-axis

• (1, 4)

• (1, -4)

• (-1, -4)

• (-1, 4)

Multiple Choice

Triangle ABC will be dilated by a scale factor of 1/2.  What will be the coordinates of C'?

• (-1, -2.5)

• (12, 6)

• (3, -1.5)

• (0, 1.5)

Multiple Choice

C(-6, 2) Rotate 90 degrees counterclockwise.

• C' (-6, 2)

• C' (6, 2)

• C' (2, -6)

• C' (-2, -6)

Multiple Choice

A(-2, 2) Rotate 180 degrees 

• A' (-2, 2)

• A' (-2, -2)

• A' (2, -2)

• A' (-2, -2)

Multiple Choice

Name the image of C(6, -4) under a rotation 90 degrees clockwise about the origin.

• C'(4, 6)

• C'(-4, -6)

• C'(6, 4)

• C'(-6, -4)

Multiple Choice

Triangle RST has vertices R(1, 1), S(1, 4), and   T(3, 1).  Graph the figure and its rotated image after a counterclockwise rotation of 180° about the origin. What are the coordinates of  Tʹ?

• (-3, -1)

• (-3,-2)

• (5,2)

• (5,4)

Multiple Choice

A(-2, 2) and B(3, 2)
Reflect over the x-axis 

• A' (-2, 2), B' (3, 2)

• A' (-2, -2), B' (3, -2)

• A' (2, -2), B' (-3, -2)

• A' (2, -2), B' (2, 3)

Multiple Choice

CB is translated 4 right and 3 down to C’B’. If CB is $$\sqrt[]{34}$$ long, how long is C’B’?

• 3

• 5

• $$\sqrt[]{34}$$

• Cannot be determined

Multiple Choice

The line segment AB is 5 units long. Translate 6 left. How long is A’B’?

• 11

• -1

• -11

• 5

Multiple Choice

Triangle ABC is transformed to triangle XYZ. Which rule would I perform if the triangle XYZ is similar, but not congruent?

• translate

• reflect

• rotate

• dilate

Multiple Choice

All angles in similar figures are congruent.  

• True

• False