Flip-and-Slide FloFunction Machines · functions, their graphs, and sequences

An acrobat who slides, flips and stretches: transformations of functions and of figures.

Rigid Transformations

Transformations of functions and of figures. In MathBound, the free Algebra I adventure game, Flip-and-Slide Flo asks these problems, and the only way past is to solve them.

Part of More topics: taught by some textbooks beyond the usual course.

Play this battle free

10 questions, no sign-up, nothing saved. Climbs from the basics to harder questions.

What you will practice

Translations, Reflections and Rotations. Translate a point by a rule or a described slide.
Symmetry and Rigid Motions. Tell what a rigid motion keeps (lengths, angles) and count a figure's lines of symmetry.

Worked examples

Made by the game’s own question engine. Try each one, then open its steps.

Example 1 · Translations, Reflections and Rotations

The

point

(- 2, 1)

slides

1

unit

left

and

2

units

down .

Where

does

it

land?

$(- 3, 3)$
$(- 4, 0)$
$(- 1, 3)$
$(- 3, - 1)$

Show the worked steps

$Right$ $and$ $left$ $change$ $x;$ $up$ $and$ $down$ $change$ $y .$
$(- 2 + (- 1), 1 + (- 2)) = (- 3, - 1) .$

Answer: $(- 3, - 1)$

Example 2 · Symmetry and Rigid Motions

Which

rule

is

NOT

a

rigid

motion?

$(x, y) \to (- x, - y)$
$(x, y) \to (x - 3, y - 3)$
$(x, y) \to (x + y, y)$
$(x, y) \to (- x, y)$

Show the worked steps

$Translations,$ $reflections$ $and$ $rotations$ $keep$ $lengths.$
$(x, y) \to (x + y, y)$ $stretches$ $the$ $plane,$ $so$ $lengths$ $change.$

Answer: $(x, y) \to (x + y, y)$

Example 3 · Translations, Reflections and Rotations

Where

does

(- 1, - 3)

land

under

the

translation

(x, y) \to (x + 4, y - 1) ?

$(3, - 3)$
$(- 5, - 2)$
$(3, - 4)$
$(- 2, 1)$

Show the worked steps

$Add$ $4$ $to$ $x$ $and$ $- 1$ $to$ $y .$
$(- 1, - 3) \to (- 1 + 4, - 3 + (- 1)) = (3, - 4) .$

Answer: $(3, - 4)$

Where it is in your textbook

Textbook	Lessons
MVP Mathematics I (Integrated Math 1)	6.1, 6.3, 6.4, 6.5, 6.6, 6.7, 7.3, 8.5, 8.7

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