CONGRUENCE: What does it mean?

Slides:

Advertisements

Similar presentations

Transformations on the Coordinate Plane

Advertisements

This presentation is the intellectual property of Christine Markstrum Chapter 7 Transformations.

2.3 – Perform Rotations.

8.9 Congruent Polygons I can identify congruent figures and use congruence to solve problems.

Math 310 Sections Isometry. Transformations Def A transformation is a map from the plane to itself that takes each point in the plane to exactly.

Linear Algebra MONDAY, AUGUST 11. Learning Goal Focus 1  I will understand transformations and use informal arguments to prove congruency between images.

REFLECTIONS, ROTATIONS AND TRANSLATIONS. Reflections.

2.4: Rotations.

Unit 5: Geometric Transformations.

1.(2,4) 2. (-3,-1) 3. (-4,2) 4. (1,-3).  The vertices of a triangle are j(-2,1), K(-1,3) and L(0,0). Translate the triangle 4 units right (x+4) and 2.

Term Transformation Describe The change in the position of a geometric figure, the pre-image, that produces a new figure called the image Representation.

Chapter 9 Congruence, Symmetry, and Similarity Section 9.1 Transformations and Congruence.

Congruency, Similarity, and Transformations By: Emily Angleberger.

Rigid Motion in a Plane Chapter 9 Section 1.

8-10 Transformations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

Transformational Geometry

CONGRUENCE AND TRANSFORMATIONS (GET GRAPH PAPER WHEN YOU ENTER CLASS) SECTION 4.4.

4-7 Congruence Transformations. A transformation is an operation that maps an original geometric figure, the preimage, onto anew figure called the image.

9.3 – Perform Reflections. Reflection: Transformation that uses a line like a mirror to reflect an image Line of Reflection: Mirror line in a reflection.

Unit 2 Vocabulary. Line of Reflection- A line that is equidistant to each point corresponding point on the preimage and image Rigid Motion- A transformation.

Compositions of Transformations

TransformationsTransformations. transformation One to One Mapping Preimage Point  Image Point A change of position or size of a figure. A  A´

Arrington 1 UNIT ONE OVERVIEWOFTRANSFORMATIONS.

Using Properties of Transformations to Show Congruence VOCABULARY.

Warm-up Slide 1 Solve 4(x + 3) = 36 Solve 6(x + 4) + 12 = 5(x + 3) + 7.

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

Rigid Motion in a Plane Geometry.

Transformations and Symmetry

DO NOW W ( , ) X ( , ) Y ( , ) Z ( , ) YES NO YES NO YES NO

Translations 9.2 Content Standards

REVIEW OF LAST WEEK.

Compositions of Transformations

Compositions of Transformations Symmetry

Math II Unit 1 Transformations

PROMPTS: TURN TO PAGE S.31 IN YOUR WORKBOOK

Copy the reflection and rotation chart 2 times each!!!!!

A movement of a figure in a plane.

Math Topic 15 Congruence and Symmetry

Which One Doesn’t Belong?

-You can use backup music

4.1: Congruence and Transformation

EXAMPLE 4 Use Theorem 9.6 In the diagram, the figure is reflected in line k.The image is then reflected in line m. Describe a single transformation that.

Chapter 9 Review NEW!.

Unit 7: Transformations

Reflection across y=x of P(3,5), Q(5,2), and R(-1,12)

Students will be able to define and apply translations.

Success Starter Write 3 classroom rules or procedures discussed yesterday. Get out 2 sheets of paper. Remember your homework (signed syllabus and parent.

Transformations –Translation

4-7 Congruence Transformations

Properties or Rules of Transformations

Congruence Transformations

Transformations, Congruence, and Similarity

Module 2 Review

11.6 Congruence and Transformations

Transformations: Translations Rotations Reflections

Transformations.

9.5 Congruence Transformations

Homework Due Tomorrow.

Identify and graph compositions of transformations, such as glide reflections LT 12.4.

Maintenance Sheet 24 due Friday

HOMEWORK: MAINTENANCE SHEET 27 , Due Thursday

7.1 Rigid Motion in a Plane.

Transformations –Translation, Reflection, Rotation and Dilations

Objectives Apply theorems about isometries.

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

Warm-up Angle A corresponds to Angle ____

Which One Doesn’t Belong?

What Rigid Transformation will take Pentagon PTSRQ to Pentagon VZYXW?

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

Presentation transcript:

CONGRUENCE: What does it mean?

Turn to Page S.57 S S S 1 2 3 Given the statement above, what must be true about each of the figures? We can demonstrate this congruence through mapping.

Turn to Page S.57 After translating along the green vector, what transformation(s) are needed to map the figures together?

Turn to Page S.58 After translating along the green vector, what transformation(s) are needed to map the figures together?

Turn to Page S.59 After translating along the green vector, what transformation(s) are needed to map the figures together?

Turn to Page S.61

Which angles appear to be the same measure?

Two Parallel Lines and a Transversal

Turn to Page S.63 Which angles Located on Line 1 appear to be the same measure? Which angles Located on Line 2 appear to be the same measure? Do the angles formed on Line 1 appear to be congruent or not congruent to those formed on Line 2?

Turn to Page S.63 Using a sheet of copy paper, trace angle 1. Through a rotation, reflection, or translation, try to match it to another numbered angle. Using a sheet of copy paper, trace angle 2. Through a rotation, reflection, or translation, try to match it to another numbered angle. Using a sheet of copy paper, trace the blue and red lines that form angles 1,2,3, and 4. Using a translation and rotation, try to map your traced image to angles 5,6,7, and 8.

Turn to Page S.64

Turn to Page S.64

Turn to Page S.64