Transformations

Translations

100

When moving a figure left or right you add or subtract from which coordinate?

X coordinate 

200

When translating a figure down x units. Do you add or subtract from the y-coordinate?

subtract

300

Translate: (1,3) --> left 2, up 1

(-1, 4)

400

Write the algebraic rule for a translation 10 units down and 4 units to the right. 

(x,y) --> (x+4, y-10)

500

Triangle ABC is translated 7 units to the left and 3 units up to create triangle A'B'C'. Write an algebraic rule that describes the translation that is applied to triangle ABC to create triangle A'B'C'.

(x,y) --> (x-7, y+3)

Reflections

100

The vertical axis on a coordinate plane.

y-axis

200

The horizontal axis on a cooordinate plane

x-axis

300

Reflect: M(4,5) over the x-axis.

M' (4,-5)

400

A figure was transformed on a coordinate grid using the rule (x,y) --> (-x,y) What transformation is shown in this rule?

reflection over the y-axis

500

Write the algebraic rule to show (x,y) reflecting over the x-axis.

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

Rotations

100

TRUE OR FALSE: When rotating a figure 270⁰ clockwise the pre-image and the image are not congruent. 

False

200

Rotate: A(4,-7) 180 degrees counterclockwise

A' (-4,7)

300

90⁰ clockwise rotation is the same as ______ counterclockwise rotation.

270⁰

400

(x,y) -->(-y,x) is the algebraic rule for what kind of rotation?

90⁰ counter clockwise or 270⁰ clockwise

500

What rotation has the following algebraic rule: 

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

90⁰ clockwise or 270⁰ counterclockwise

Dilations

100

What is the only transformation that does not preserve congruency?

dilations

200

Will a figure with a dilation with scale factor of 3.5 enlarge or reduce?

enlarge

300

Give an example of a scale factor that will reduce the size of the image.

Any number less than 1

400

Dilate: C(10,4) by a scale factor of 1/2.

C'(5,2)

500

Write an algebraic rule for a dilation with a scale factor of 6.

(x,y) --> (6x,6y)

Mixed Review

100

What does orientation mean?

The direction a figure is facing

200

Solve for x.

3x + 5 = 2x - 10 

x = -15

300

The number of gallons of gasoline required to drive a car varies directly with the distance traveled. If a car consumes 5 gallons of gasoline, to travel 100 miles, how many gallons would be needed to travel 400 miles?

20 gallons

400

Is the following situation proportional or non proportional:

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Non - Proportional 

500

What is the slope between the points (-1,2) and (4,12)

10/5 or 2