Transformations on the Coordinate Plane

Apply prior geometry ideas in transformations on the coordinate plane.

Lesson 3 of 43 parts Practice Flashcards

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Translation Review

Objective: Solve and explain translation review.

Translation sends (x,y) to (x+a,y+b).

Worked examples

Try itTranslate (1,4) right 4 and down 2.Show answer

(5,2). Add 4 to x and subtract 2 from y.

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Objective: Solve and explain translation review.

Translation sends (x,y) to (x+a,y+b).

Worked examples

Try itTranslate (1,4) right 4 and down 2.Show answer

(5,2). Add 4 to x and subtract 2 from y.

Objective: Solve and explain reflection review.

Reflection over x-axis sends (x,y) to (x,−y), and over y-axis to (−x,y).

Worked examples

Try itReflect (3,6) over the y-axis.Show answer

(−3,6). Negate x, keep y.

Objective: Solve and explain rotation review.

90° counterclockwise about origin sends (x,y) to (−y,x).

Worked examples

Try itRotate (3,6) 90° counterclockwise about the origin.Show answer

(−6,3). Use (x,y)→(−y,x).

You finished the reading!

Lock it in with a few practice questions, then move on to the next lesson.