Algebraic Representations

• A

• B

• C

• D

• A

• B

• C

• D

Triangle A(2,5), B(1,-1), and C(-3,1) is dilated using the algebraic representation of (3x,3y). What is the new value of C’?

• (9,3)

• (-9,3)

• (-9,-3)

• (-1, -1/3)

Find the scale factor with points given:

• 7/8

• 8/7

• 8

• 7

How do you write the algebraic notation when the scale factor is 3?

• (x, y) --> (1/3x, 1/3y)

• (x, y) --> (-3x, -3y)

• (x, y) --> (x + 3, y + 3)

• (x, y) --> (3x, 3y)

If triangle ABC is dilated about the origin by a scale factor of 3, what will be the new coordinates of point B'? Hint: B is at (-4, -5)

• (-8, -10)

• (-12, -15)

• (-3, 9)

• (2, 5)

A square with a perimeter of 20 units is graphed on a coordinate grid. The square is dilated by a scale factor of 0.4 with the origin as the center of dilation. If (x, y) represents the location of any point on the original square, which ordered pair represents the coordinates of the corresponding point on the resulting square?

• (20x, 20y)

• (0.4x, 0.4y)

• (x+20, y+20)

• (x+0.4, y+0.4)

A polygon will be dilated on a coordinate grid to create a larger polygon. The polygon is dilated using the origin as the center of dilation.
Which rule could represent this dilation? 

• (x,y) → (0.5 − x,0.5 − y) 

• (x,y) → (x−7,y−7) 

• (x, y) → (0.9x, 0.9y)

A line that passes through the points whose coordinates are (1,1) and (5, 7) is dilated by a scale factor of 3 and centered at the origin. The image of the line

• is perpendicular to the original line

• is parallel to the original line

• passes through the origin

• is the original line

Choose the correct scale factor:

• 2.5

• 1.5

• 3.5

• 4