# Translations, Rotations, Reflections, and Dilations

Transformations: Rotations on a Coordinate Plane Meet TED. TED is going to help us learn about rotations. First lets focus on TEDs eyes. What are the coordinates of his left eye? What are the coordinates of his right eye? Good, now you will need to use those coordinates in order to help you discover to rules for rotations.

Before we go any further lets discuss the direction in which we rotate. Remember that our coordinate plane is broken into quadrants numbers 1 4. When we rotate we always go in order of quadrant unless told otherwise. A full rotation is 360 so if you rotate halfway around that would be a _____ rotation. A 90 rotation moves of the way around, which just means it moves one quadrant counter-clockwise. If you rotated a figure

90 from quadrant 4 it would then be in quadrant ______. ROTATIONS basic rotations A (-4,2) A (2,4) A ( , ) B (-7,7) B (7,7) B ( , ) C(-3,9) C(9,3) C( , ) Rotations on the Coordinate

Plane Know the formulas for: 90 rotations 180 rotations

clockwise & counter-clockwise Unless told otherwise, the center of rotation is the origin (0,02/23/20 0).

90 clockwise rotation A(-2, 4) Formula (x, y) (y, x) A(4, 2) 02/23/20 Rotate (-3, -2) 90 clockwise

Formula A(-2, 3) (-3, -2) 02/23/20 (x, y) (y, x) 90 counter-clockwise rotation

Formula A(2, 4) (x, y) (y, x) A(4, -2) 02/23/20 Rotate (-5, 3) 90 counterclockwise

Formula (-5, 3) (-3, -5) 02/23/20 (x, y) (y, x) 180 rotation Formula

(x, y) (x, y) A(4, 2) A(-4, -2) 02/23/20 Rotate (3, -4) 180 Formula

(-3, 4) (x, y) (x, y) (3, -4) 02/23/20 Rotation Example Draw a coordinate grid and graph:

B(-2, 4) A(-3, 0) B(-2, 4) A(-3, 0) C(1, -1) C(1, -1)

Draw ABC 02/23/20 Rotation Example B(-2, 4) Rotate ABC 90 clockwise. Formula

A(-3, 0) 02/23/20 C(1, -1) (x, y) (y, x) Rotate ABC 90 clockwise. B(-2, 4)

A B A(-3, 0) C C(1, -1) 02/23/20 (x, y) (y, x)

A(-3, 0) A(0, 3) B(-2, 4) B(4, 2) C(1, -1) C(-1, -1) Rotate ABC 90 clockwise. B(-2, 4) A B

A(-3, 0) C C(1, -1) 02/23/20 Check by rotating ABC 90. Rotation Example Rotate ABC 270

clockwise. B(-2, 4) Formula? A(-3, 0) C(1, -1) We must use the

counterclockwise formula for 90, because 270 clockwise, is the same as 90 counterclockwise. (x, y) (y, x) 02/23/20 Rotate ABC 270 clockwise, or 90 counterclockwise.

B(-2, 4) (x, y) (y, x) A(-3, 0) A(0, -3) C C(1, -1) A(-3, 0) B

02/23/20 B(-2, 4) B(-4, -2) C(1, -1) C(1, 1) A Rotation Formulas

90 CW 90 CCW 180 02/23/20 (x, y) (y, x)

(x, y) (y, x) (x, y) (x, y) http://www.ixl.com/math/g rade-8/rotations-graph-the -image 02/23/20

## Recently Viewed Presentations

• Show me someone who doesn't think accounting is a creative profession and I will show you someone who does their own taxes. Over and over again, courts have said that there is nothing sinister in so arranging one's affairs as...
• Other Data Reporting. Large retailers such as Target and Walmart submit recycling data to DEQ. This information is available for planning units to use when calculating its recycling rate.
• National View on Stroke Care. Tony Rudd. Stroke Issues. Variability of quality of care and slow progress achieving change. Hospital. Community. Issues around prevention including AF management. Increasing difficulty accessing social care and care homes.
• An American Empire Chapter 17 Section 2 Building an Empire US and Spanish leader meet to discuss the terms for a peace treaty America debates on what to do w/ their newly acquired lands…
• The Rushmore Group from SD was hired to conduct assessments on all individuals served in the DD system across ND. SIS assessments have been done on all individuals aged 16 and over. Children under 16 are assessed with the ICAP....
• But one dimension of imagery that is overlooked is the relatively simple question of whether active imagery is more beneficial for a learner rather than passive imagery. Active imagery allows individuals to experience mental images in a much more practical...
• He spared the people there, establishing a pattern of treating conquered people with tolerance Muslims persecuted Islam quickly spread throughout the Arabian Peninsula Get out your maps Label the colored section "Islam during Muhammad's life" Islam spreads Muhammad died in...
• Med Hypotheses 2001; 57: 224-30 Becker's theory Injury currents(DC) The body does have a means of activating its own semiconductor bioelectric circuits to send endogenous biological electricity where it is needed for healing the classical description of acupuncture meridians are...