Transformations Review

Arrow Notation

100

The transformation 

(x, y) --> (2x-3, 2y+7) 

will do this to a figure.

What is 

-translate left 3 and up 7

-dilate with scale factor 2?

200

Find the new coordinates of (10,12) if you translate the point three units left and 4 units up.

What is (7,16)?

300

The transformation 

(x, y) --> (-y +2, x) 

will do this to a figure.

What is

- translate RIGHT 2

- Rotate 90^o CCW (or 270^o CW)?

400

Describe the transformation for this notation: 

(x,y) --> (0.5x, -0.5y)

What is 

- Dilate with scale factor 0.5

- Reflect over the x-axis?

500

The transformation 

(x, y) --> (-y + 1, -x - 3) 

will do this to a figure.

What is 

- Translate RIGHT 1 and DOWN 3

- Reflect over the line y = -x ?

Identify the Transformation

100

You suspect an object has been rotated. To confirm you do this to your paper.

What is turn it?

200

Find the new coordinates of (3,-2) after you reflect the point over the x-axis.

What is (3,2)?

300

You suspect an object has been reflected. To confirm you do this to your paper.

What is fold your paper to make the figures overlap?

- or connect corresponding (same letter) parts, find the midpoint, and draw in the line of reflection through the midpoint(s). 

400

A picture with one point (-3,4) was reflected over the line y=x. What should be the new coordinates of the point?

What is (4,-3)?

500

To determine the scale factor in a dilation, you

What is make a fraction with new (A') lengths or coordinates over the original (A) length or coordinate?

Polygons

100

A 10-sided figure. 

What is a decagon?

200

The order of a regular heptagon. 

What is 7?

300

Write the angle of rotational symmetry of a hexagon. 

What is 60^o?

400

The number of sides on a nonagon.

What is 9?

500

A figure with 20 sides. 

What is a 20-gon?

Function Notation

100

When f(x) = 22x - 50, f(2) = ?

What is -6 or (2, -6) ?

200

g(x) = (x-3)/2 + 5. 

When g(x) = 7, x = ?

What is 7, or (7, 7)?

300

f(x) = 3x - 8. f(-2) = ? 

What is -14?

400

g(x) = 0.5(x + 4) - 1. 

g(x) = 4, x = ?

What is 6, or (6, 4) ?

500

f(x) = 0.25(x - 3) - 5. f(7) = ?

What is -4, or (7, -4)?

Following a Rule

100

Figure QRST has vertices Q(2,-1), R (6,-1), S(6,-3) and T(2,-3). Which will be the coordinates of vertex R' after the rectangle is rotated 90º counterclockwise about the origin?

What is (1, 6)?

200

Which transformation does not result in a congruent figure?

What is a dilation?

300

A transformation that preserves size and shape.

What is an isometry?

400

The point A(-4, -2) is transformed using 

(x,y) --> (-2y, 2x+15). Find A'.

What is A'(4, 7)

500

Triangle A(0,2) B(4, 6) C(-2, 5) is transformed by 

(x,y) --> (1/2x + 3, -1/2y - 2). Find the new coordinates.

What is A'(3, -3) B'(5, -5) C'(2, -4.5)?