Geometry: Cartesian Plane

Slides:



Advertisements
Similar presentations
Perimeter and Area of Rectangles, Squares and Triangles
Advertisements

An isometry is a transformation that does not change the shape or size of a figure. Reflections, translations, and rotations are all isometries. Isometries.
Graphing Ordered Pairs
ROTATION ..
(7.7) Geometry and spatial reasoning The student uses coordinate geometry to describe location on a plane. The student is expected to: (B) graph reflections.
The Cartesian Coordinate System
Shape and Space Reflections
Holt Geometry 12-1 Reflections A transformation is a change in the position, size, or shape of a figure. The original figure is called the preimage. The.
Lesson 10-9 Pages Reflections. What you will learn! How to identify figures with line symmetry and graph reflections on a coordinate plane.
Transformations Reflection An object can be reflected in a mirror line or axis of reflection to produce an image of the object. For example, Each point.
Coordinate Grids Ms. Cuervo.
Holt Geometry 12-1 Reflections 12-1 Reflections Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz.
9-2 Reflections Objective: To find reflection images of figures.
Coordinates and Design. What You Will Learn: To use ordered pairs to plot points on a Cartesian plane To draw designs on a Cartesian plane To identify.
Translations 12-2 Warm Up Lesson Presentation Lesson Quiz
For each statement below, write whether the statement is true or false. A set of ordered pairs describe a function if each x-value is paired with only.
TRANSFORMATION GEOMETRY
Reflections on the Coordinate Plane
4-2 Unit 4 Transformations.
Reflections 9-1 Warm Up Lesson Presentation Lesson Quiz
11.3 Reflections 1/11/17.
3B Reflections 9-2 in textbook
Reflections.
Module 2 Lesson 2 Reflections Reflections.
Warm Up Find the coordinates of the image of ∆ABC with vertices A(3, 4), B(–1, 4), and C(5, –2), after each reflection. 1. across the x-axis 2. across.
Translations 9-2 Warm Up Lesson Presentation Lesson Quiz
Reflections.
Reflections 9-1 Warm Up Lesson Presentation Lesson Quiz
Introduction and Review Information
Translations 12-2 Warm Up Lesson Presentation Lesson Quiz
Geometry Honors Day 2: Reflections
Translations 9-2 Warm Up Lesson Presentation Lesson Quiz
Introduction and Review Information
Reflections Warm Up Lesson Presentation Lesson Quiz
A ( , ) W ( , ) H ( , ) L ( , ) 0 2 A’ ( , ) W’ ( , ) H’ ( , )
Graphing Ordered Pairs
Translations 9-2 Warm Up Lesson Presentation Lesson Quiz
Objective Identify and draw reflections..
P.5 The Cartesian Plane Our goals are to learn
Finding Lengths of Horizontal Lines on a Coordinate Plane
Reflections Reflect the object in the x axis
Have homework ready to check and work on bellwork.
Translations Warm Up Lesson Presentation Lesson Quiz
2D - GEOMETRY POSITIONS ON THE GRID TRANSLATIONS REFLECTIONS ROTATIONS
Transformations-Reflections
Introduction and Review Information
9.1: Reflections.
Reflections 9-1 Warm Up Lesson Presentation Lesson Quiz
12-1 Reflections Warm Up Lesson Presentation Lesson Quiz Holt Geometry.
Additional Example 2: Graphing Ordered Pairs Graph and label each point on a coordinate grid. A. L (3, 5) Start at (0, 0)
12-1 Reflections Warm Up Lesson Presentation Lesson Quiz Holt Geometry.
Geometry Honors Day 2: Reflections
Reflections. Reflections What is a reflection?
Reflections 9-1 Warm Up Lesson Presentation Lesson Quiz
Starter(s) Find the geometric mean between 8 and 15. State the exact answer. A. B. C. D. 5-Minute Check 1.
Translations 12-2 Warm Up Lesson Presentation Lesson Quiz
Translations Warm Up Lesson Presentation Lesson Quiz
Holt McDougal Geometry 9-2 Translations 9-2 Translations Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz.
Reflections Warm Up Lesson Presentation Lesson Quiz
Rectangular Coordinates
Reflections Warm Up Lesson Presentation Lesson Quiz
Translations Warm Up Lesson Presentation Lesson Quiz
One-to-one Correspondence
Objective Identify and draw reflections..
Translations Warm Up Lesson Presentation Lesson Quiz
Coordinate Plane y axis x axis.
Warm-up Question (not in your book)
1-5: Learning Goals Download for free at openupresources.org.
Presentation transcript:

Geometry: Cartesian Plane Transformations - Reflections

Reflection - Strategies Tracing: Trace shape, label vertices, and shade the new shape. Cut out shape and reflect it from the line of reflection so that the shaded side is facing down. Distance of Vertices: Count the units each vertice is from the line of reflection, and mark the reflected vertices that same distance on the opposite side.

Reflections Reflect triangle ABC over line m to form triangle A’B’C’. What are the coordinates of the reflected triangle? A’: (-6, -8) B’: (-3, -8) C’: (-2, -5) Reflect triangle A’B’C’ over the y-axis to form triangle A’’B’’C’’. What are the coordinates of the reflected triangle? A’’: (6, -8) B’’: (3, -8) C’’: (2, -5) B A C m C’’ C’ A’’ B’’ A’ B’

Reflection Activity ... Yes! In a group of 4, first draw a large cartesian plane on the grid paper. Draw a quadrilateral in one of the quadrants, and label the vertices. You are to create 3 different reflections with your shape. For each reflection, first decide on whether to reflect over a reflection line or an axis. You may use either strategy discussed (use scrap paper for tracing). Write the ordered pair (coordinates) for each vertice. Check out my example if you need assistance. Once completed, you will trade your work with another group to mark. We will take up selected examples.