Translations on the Coordinate Plane Translations on the

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Translations on the Coordinate Plane

Translations on the Coordinate Plane

Translations on the Coordinate Plane • In chess, there are rules governing how many

Translations on the Coordinate Plane • In chess, there are rules governing how many spaces and in what direction each game piece can be moved • The diagram below shows the legal moves of the piece known as the knight

Translations on the Coordinate Plane • A translation (sometimes called a slide) is the

Translations on the Coordinate Plane • A translation (sometimes called a slide) is the movement of a figure from one position to another without turning it • Every point on the original figure is moved the same distance and in the same direction(s)

Translations on the Coordinate Plane • The new points of the new figure are

Translations on the Coordinate Plane • The new points of the new figure are referred to as “prime” (for example, point A translated below becomes A’ or A prime) • The new figure below is referred to as triangle A’B’C’

Translations on the Coordinate Plane • If you think of movements in terms of

Translations on the Coordinate Plane • If you think of movements in terms of positive and negative, movements to the right and up are positive, while movements to the left and down are negative • In the figure below, triangle ABC has been translated (6, -4)

Translations on the Coordinate Plane Checkpoint • A positive number in the x-coordinate position

Translations on the Coordinate Plane Checkpoint • A positive number in the x-coordinate position of an ordered pair (3, 4) means to translate in which direction? RIGHT • A negative number in the x-coordinate position of an ordered pair (-3, 4) means to translate in which direction? LEFT

Translations on the Coordinate Plane Checkpoint • A positive number in the y-coordinate position

Translations on the Coordinate Plane Checkpoint • A positive number in the y-coordinate position of an ordered pair (3, 4) means to translate in which direction? UP • A negative number in the y-coordinate position of an ordered pair (-3, -4) means to translate in which direction? DOWN

Translations on the Coordinate Plane • There are two ways to think of how

Translations on the Coordinate Plane • There are two ways to think of how to translate a figure. Consider the figure below • Each vertex of the triangle has been moved 6 units to the right and 4 units down • Hence, a translation of (6, -4)

Translations on the Coordinate Plane • Another way to translate a figure in the

Translations on the Coordinate Plane • Another way to translate a figure in the direction described by an ordered pair is to add the ordered pair to the coordinates of each vertex of the figure • In the example below, A(-2, 3) B(-2, 1) and C (-5, 1) make up the original triangle

Translations on the Coordinate Plane • Translate triangle ABC by (6, -4) A(-2, 3)

Translations on the Coordinate Plane • Translate triangle ABC by (6, -4) A(-2, 3) B(-2, 1) C(-5, 1) +(6, -4) A’(4, -1) B’(4, -3) C’(1, -3)

Translations on the Coordinate Plane Checkpoint • Describe the translation below using an ordered

Translations on the Coordinate Plane Checkpoint • Describe the translation below using an ordered pair: M’ A’ T’ H’ M A T H (-7, -3)

Translations on the Coordinate Plane Checkpoint • Give the vertices of square MATH after

Translations on the Coordinate Plane Checkpoint • Give the vertices of square MATH after a translation of (2, 2): M A M’ (3, 6) A’ (6, 6) T H T’ (3, 3) H’ (6, 3)

Translations on the Coordinate Plane Checkpoint • Come up to the board and show

Translations on the Coordinate Plane Checkpoint • Come up to the board and show to mathematically translate square MATH (2, -7) M A M’ (3, -3) A’ (6, -3) T H T’ (3, -6) H’ (6, -6)

Homework: • Practice Worksheet 11 -8 • Practice Skills 6 -8 • Due Tomorrow!!

Homework: • Practice Worksheet 11 -8 • Practice Skills 6 -8 • Due Tomorrow!!