FSA Review - Foundation #3: Transformations

FSA Review - Foundation #3: Transformations

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 Select

How is trapezoid ABCD translated to trapezoid A'B'C'D'? Select all that apply.

• Translation: (x, y) --> (x - 8, y + 5)

• Translated 5 units down and 1 unit right

• Translated 8 units down and 5 units right

• Translated 5 units down and 5 units right

• Translation: (x, y) --> (x + 5, y - 8)

Multiple Choice

Determine how to translate triangle ABC to triangle A'B'C'.

• (x - 9 , y + 2)

• (x + 2, y - 9)

• (x - 2, y + 5)

• (x - 2, y + 9)

Multiple Choice

Write a rule for the translation.

•  (x -1, y  + 2)
•  (x -2, y  + 1)
•  (x +2, y  - 1)
• (x +1, y  -  2)

Multiple Choice

What transformation is happening?
(x, y) ----> (x + 2, y - 3) 

• slide up 2, left 3
• slide right 2, up 3
• slide right 2, down 3
• slide left 3, right 2

Multiple Choice

What does a translation do to an image?

• Turns it 90* clockwise
• Mirrors it
• Shrinks it
• Slides it

Multiple Choice

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

• Translated 5 units down and 5 units to the right
• Translated 5 units down and 1 to the right
• Translated 8 units down and 5 units to the right
• Translated 5 units down and 4 units to the right

Multiple Choice

A vector is a ray with both ____________ and _____________.

• Wings and halos

• Space and time

• Direction and magnitude

• Radicals and exponents

Multiple Choice

Write in component form.

• <0, 4>

• <8, 2>

• <2, 8>

• <0, 2>

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

Reflections over the x-axis change the ____-__________. 

• y-coordinate
• x-coordinate
• y-axis
• x-axis 

Multiple Choice

Reflect over x-axis. Which point would be at (3, -6)

• A
• B
• C
• H

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

What is the Algebraic Notation for this Reflection?

• (x, y) → (y, x)
• (x, y) → (-x, y)
• (x, y) → (-y, -x)
• (x, y) → (x, -y)

Multiple Choice

What is the rule for the following reflection? 

• Reflection across       y = −1
• Reflection across        y = 1
• Reflection across            x = −1
• Reflection across          x = 1

Multiple Choice

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?

• A
• B
• C
• D

Multiple Choice

Triangle B is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• A
• B
• C
• D

Multiple Choice

Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.

• (-4,-3)
• (-4,3)
• (4,-3)
• (3,4)

Multiple Choice

What is the angle of rotation for this counterclockwise rotation about the origin?

• 90°
• 180°
• 270°
• 360°

Multiple Choice

If you were to rotate ABCD 180° about the origin, what would the coordinates of B' be?

• (0, 0)
• (-6, -5)
• (-1, 3)
• (-6, 2)

Multiple Choice

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

• (-5, 5)
• (-3, 5)
• (-5, 3)
• (-3, 3)

Multiple Choice

If you were to rotate ABCD 180°  about the origin, what would the coordinate of A' be?

• (-5, 5)
• (-3, -5)
• (-5, 3)
• (-3, 3)

Multiple Choice

Give the coordinate of point C after a rotation of 270⁰ clockwise about the point (-1, 1)

• (-2, 5)

• (-5, 0)

• (-2, 0)

• (0, -3)

Multiple Choice

Give the coordinate of point C after a rotation of 90⁰ clockwise about the point (-1, 1)

• (1, -4)

• (4, 1)

• (0, -3)

• (-2, 5)

Multiple Choice

Give the coordinate of point A after a rotation of 270⁰ counterclockwise about the point (1, 3)

• (2, 3)

• (1, 4)

• (4, 1)

• (0, 3)

Multiple Choice

Give the coordinate of point B after a rotation of 180⁰ about the point (2, 1)

• (1, 2)

• (2, 1)

• (0, 1)

• (1, 0)

Multiple Choice

Give the coordinate of the point A after of rotation of 90⁰ anticlockwise about the point (1, 3)

• (1, 4)

• (2, 1)

• (2, 7)

• (2, 3)

Multiple Choice

State the coordinate of the image of the given point G (-10,-6) under a dilation with center at the origin with the given scale factor of 1/2.

• G' (5,3)

• G' (20,12)

• G' (-20,-12)

• G' (-5,-3)

Multiple Choice

When A(3, 6) is under a dilation of 2 what are the coordinates of A'?

• (3, 6)

• (1.5, 3)

• (6, 12)

• (12, 6)

Multiple Choice

The point A (8, 12) was dilated to become point A' (2, 3). What was the scale factor?

• ½

• ¼

• 4

• 2

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

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

• ½
• ¼
• 4
• 2

Multiple Choice

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?

A(3,3) B(6,6) C(9,3)

• A'(9,9) B'(18,18) C'(27,9)

• A'(6,6) B'(9,9) C'(12,6)

• A'(0,0) B'(3,3) C'(6,0)

• A'(1,1) B'(2,2) C'(3,1)

Multiple Choice

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)

• A'(9,9) B'(18,18) C'(27,9)
• A'(6,6) B'(9,9) C'(12,6)
• A'(0,0) B'(3,3) C'(6,0)
• A'(1,1) B'(2,2) C'(3,1)

Multiple Choice

Dilate point $M\left(-1,8\right)$  by a scale factor of  $\frac{3}{2}$  and a center of dilation at  $\left(3,4\right)$  

•  $\left(-3,10\right)$  

•  $\left(10,3\right)$  

•  $\left(2,7\right)$  

•  $\left(-2,7\right)$  

•  $\left(10,7\right)$  

Multiple Choice

Triangle $ABC$  with vertices  $A\left(9,13\right)$   $B\left(12,11\right)$  and  $C\left(8,7\right)$  is dilated by a scale factor of  $2$  and centered at  $\left(11,14\right)$ . Where is  $C'$  located?

•  $\left(7,12\right)$  

•  $\left(13,8\right)$  

•  $\left(5,0\right)$  

•  $\left(0,5\right)$  

•  $\left(12,7\right)$  

Multiple Choice

Triangle $JKL$  with vertices  $J\left(-3,-2\right)$   $K\left(-3,-12\right)$  and  $L\left(-8,-12\right)$  is dilated by a scale factor of  $\frac{1}{5}$  and centered at  $\left(-13,2\right)$ . Where is  $K'$  located?

•  $\left(-4,-12\right)$  

•  $\left(11,2\right)$  

•  $\left(11,-2\right)$  

•  $\left(12,-4\right)$  

•  $\left(-11,-4\right)$  

Multiple Select

Triangle $PQR$  with vertices  $P\left(-4,9\right)$   $Q\left(-3,3\right)$  and  $L\left(3,10\right)$  is dilated by a scale factor of  $2$  and centered at  $\left(-2,7\right)$ . Which points are NOT vertices on Triangle  $P'Q'R'$ ? {Select all that apply}

•  $\left(-4,-1\right)$  

•  $\left(11,2\right)$  

•  $\left(11,-2\right)$  

•  $\left(8,13\right)$  

•  $\left(-11,-4\right)$