Rotations Day 120 Learning Target:

Slides:



Advertisements
Similar presentations
The distance from the center to any point on the shape stays the same.
Advertisements

Warm up Write the rule for translating left 4 units and up 6 units.
Do Now:.
Rotations Section 9.4.
Translations I can: Vocabulary: Define and identify translations.
Rotations. Rotate 90  Clockwise about the Origin (Same as 270  Counterclockwise) Change the sign of x and switch the order.
2.3 – Perform Rotations.
Transformations Vocabulary.
2.4: Rotations.
Unit 5: Geometric Transformations.
Warm up What type of transformation is shown? Write the algebraic representation. Write the coordinates of the original triangle after reflection over.
4.8 – Perform Congruence Transformations
1.2: Transformations G-CO.6 Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given.
Perform Congruence Transformations. A __________________ is an operation that moves or changes a geometric figure to produce a new figure called an __________.
Warm up 1.A function is even. Point A(-3, 4) is on the even function. Name another point. 2.A function is even. Point B(9, 2) is on the even function.
Reflections Day 119 Learning Target: Students can represent transformations in the plane; describe transformations as functions that take points in the.
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.
Transformations on the Coordinate Plane: Translations and Rotations.
Review from Friday The composition of two reflections over parallel lines can be described by a translation vector that is: Perpendicular to the two lines.
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.
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.
Rotations on the Coordinate Plane. Horizontal- left and right.
TRANSFORMATIONS Objective:  To identify isometries  To find reflection images of figures.
Properties of Rotations
Geometry Rotations. 2/14/2016 Goals Identify rotations in the plane. Apply rotation formulas to figures on the coordinate plane.
Perform Congruence Transformations. Transformations: when you move or change a geometric figure in some way to produce a new figure. Image is what the.
Essential Question: How do you describe the properties of rotation and their effect on the congruence and orientation of figures? Rotations preserve size.
Transformation in Geometry
Every segment is congruent to its image.
Every segment is congruent to its image.
11.4 Rotations 1/12/17.
9.3 Rotations Then: You identified rotations and verified them as congruence transformations. Now: You will draw rotations in the coordinate plane.
9-1 Translations.
Rotations Coordinate Algebra 5.3.
Find the coordinates of A(3, 2) reflected in the line y = 1.
I can draw rotations in the coordinate plane.
Math 8 Learning Target: I can describe what transformations are and identify the different types.
Transformations Sections
Unit 1 Transformations in the Coordinate Plane
1.3 RIGID MOTIONS.
Reflections Day 119 Learning Target:
A movement of a figure in a plane.
Geometry: Unit 1: Transformations
A movement of a figure in a plane.
Day 13 – Effects of rigid motion
Rotations Unit 10 Notes.
Warm up A function is even. Point A(-3, 4) is on the even function. Name another point. A function is even. Point B(9, 2) is on the even function.
Unit 1: Transformations Day 3: Rotations Standard
Transformation in Geometry
Rotations on the Coordinate Plane
Success Starter for 8/23/17 Rotate A(12, -4) 180 degrees.
TRANSFORMATIONS Translations Reflections Rotations
Unit 4 Transformations.
Congruence Transformations
Math 8 Day 6 Learning Target: Students can describe what transformations are and identify the different types.
Unit 1 Transformations in the Coordinate Plane
Math 8 Learning Target: I can describe what transformations are and identify the different types.
Rotation.
1.3 RIGID MOTIONS.
Transformations Translation Reflection The FRAME Routine
Homework Due Tomorrow.
TRANSFORMATIONS in the Coordinate Plane
Warm-Ups A _____________ is a change in a figure’s position or size
Unit 1 Transformations in the Coordinate Plane
Rotations.
Transformations.
Rotation Around a Point
Math 8 Learning Target: I can describe what transformations are and identify the different types.
Rotations.
Presentation transcript:

Rotations Day 120 Learning Target: Students can represent transformations in the plane; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).

Rotations…

A rotation is a transformation that turns a figure about a fixed point called the center of rotation.  An object and its rotation are the same shape and size, but the figures may be turned in different directions.

Rotate 90 Clockwise about the Origin (Same as 270 Counterclockwise) Change the sign of x and switch the order

Rotate 90° clockwise about the origin

Rotate 90° clockwise about the origin

Rotate 90 Counterclockwise about the Origin (Same as 270 Clockwise) Change the sign of y and switch the order

Rotate 90° counterclockwise about the origin

Rotate 90° counterclockwise about the origin

Rotate 180 about the Origin ONLY Change the signs

Rotate 180° about the origin

Rotate 180° about the origin

Rotation Rules: Clockwise Counter Clockwise 90˚ (y, -x) (-y, x) 180˚ 270˚

Classwork… Rotations Practice