9-3 Rotations Vocab Rotation: A transformation that turns a shape on an axis Center of rotation: The point at which a rotation is turned Angle of rotation:

Slides:

Advertisements

Similar presentations

Two or more angles whose measures add up to 90 degrees 30 x.

Advertisements

Rotations Section 9.4.

2.3 – Perform Rotations.

11.5 Rotations. Rotations Rotate a Figure 90 about the origin.

1 SURVEYING LEARNING TO READ A COMPASS. 2 The compass is marked with the four cardinal points – north, east, south, and west. The compass is also marked.

REFLECTIONS, ROTATIONS AND TRANSLATIONS. Reflections.

2.4: Rotations.

Aim: What do we remember about transformations? Do Now: Do Now: Circle what changes in each of the following: Translation: LocationSizeOrientation Dilation:

Unit 5: Geometric Transformations.

Describing Rotations.

Rotations. Graph the following coordinates, then connect the dots (2, 1) (4,1) (2, 5) X y Rotate the triangle 90° clockwise about the origin and graph.

Warm up What type of transformation is shown? Write the algebraic representation. Write the coordinates of the original triangle after reflection over.

Rotation Around a Point. A Rotation is… A rotation is a transformation that turns a figure around a fixed point called the center of rotation. A rotation.

Rotations. Goals Distinguish between a translation, reflection, and rotation. Visualize, and then perform rotations using patty paper. To determine the.

Describe the transformation K L M M' L' J' K' JKLM has been rotated 90o about the origin (0,0) in a counterclockwise direction. We could also say that.

Rotation – A circular movement around a fixed point Rotation.

Problem of the Day 1.) Graph triangle ABC

Properties or Rules of Transformations Equations used to find new locations.

Turning a figure about a point (center of rotation) for a certain number of degrees ( ∠ of rotation)

Section 7.3 Rotations OBJECTIVE:

Properties of Rotations

Transformations on the Coordinate Plane Transformations are movements of geometric figures. The preimage is the position of the figure before the transformation,

Find the coordinates of A(3, 2) reflected across the x-axis.

Things Needed Today (TNT): Topic: Congruency & Review of Rotations

Unit 5 Transformations Review

Reflect across the y-axis

11.4 Rotations 1/12/17.

Warm up Reflect the figure ABCD across the line y=x. List the new coordinates of the points A’B’C’D’.

Rotate the triangle, 900 clockwise, about the centre of rotation.

R90 (x,y)  Rotate the point (x, y) 90 counterclockwise

Find the coordinates of A(3, 2) reflected in the line y = 1.

A circular dial with the digits 0 through 9 evenly spaced around its edge can be rotated clockwise 36°. How many times would you have to perform this.

ROTATIONS UNIT 1 – sept. 8.

A movement of a figure in a plane.

MATH 8 – UNIT 1 REVIEW.

Warm Up Tell whether the shaded figure is a reflection of the non-shaded figure

Section 17.3: Rotations.

A’ B’ D’ C’ Draw a Point at the center of dilation (Point P).

Locating Objects in the Night Sky

Rotate Around (0,0) By 180 Stretch Scale factor ½ In x and y directions Stretch Scale factor 2 In x and y directions Reflect In line y=x Stretch Scale.

Reflections in Coordinate Plane

Properties or Rules of Transformations

Transformations: Reflecting a shape using x = a or y = b

Unit 1 Transformations in the Coordinate Plane

Locating Objects in the Night Sky

Where is it In the night sky.

Reference Angles.

Warm Up 1. A point P has coordinates (1, 4). What are its new coordinates after reflecting point P across the x-axis? [A] (-1, 4) [B] (1, 4) [C] (1, -4)

Transformations: Translations Reflections Rotations Dilations.

Rotations Advanced Geometry.

Transformations with Matrices

Reflections Geometry.

Transformations Review

Warm-Ups A _____________ is a change in a figure’s position or size

Unit 1 Transformations in the Coordinate Plane

9-1 Reflections Vocab Reflection: A transformation that flips a shape

Where is it In the night sky.

Locating Objects in the Night Sky

Rotations Day 120 Learning Target:

Transformations: Rotating a shape 180° about a point (

Transformations: Describing rotations

Locating Objects in the Night Sky

The Isometric Grid. Page 21. The Isometric Grid. Page 21.

Congruent Figures Day 2.

Pages Draw a Point at the center of dilation (Point P).

Presentation transcript:

9-3 Rotations Vocab Rotation: A transformation that turns a shape on an axis Center of rotation: The point at which a rotation is turned Angle of rotation: The number of degrees a shape is rotated

Types of Rotations 90°: (x,y) becomes (-y,x) 180°: (x,y) becomes (-x,-y) 270°: (x,y) becomes (y,-x) Ex 1: Given points (1,1) (4,5) and (5,1), rotate the triangle 90° Ex 2: Given points (1,1) (4,5) and (5,1), rotate the triangle 180° Ex 3: Given points (1,1) (4,5) and (5,1), rotate the triangle 270°

Rotation Word Problems Ex 4: A damaged compass points northwest. If you travel west by the compass, what is your angle of rotation to true north? Ex 5: A circular dial with the digits 0 through 9 evenly spaced around its edge can be rotated clockwise 36°. How many times would you have to perform this rotation in order to bring the dial back to its original orientation?

Classwork/Homework P. 644 14-21