Chapter 4: Congruent Triangles - Mrs. Mason's Online Math ...mrsmasonmath.weebly.com/uploads/5/9/6/3/5963714/chp_4_online.pdf · POSTULATE 20 Side-Angie-Side (SAS) Congruence Postulate

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Chapter 4: Congruent Triangles4.1: Apply Triangle Sum Thm

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Move the peices of the torn to proveExternal Angle Theorem

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Three sides of a triangle are congruent to three sides of another triangle then the two triangles are congruent

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Determine whether the two triangles are congruent

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E is the midpoint of line BD

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Translations, Rotations, and Reflections

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Coordinate Notation for a Translation

(x,y) = (x + a, y + b)

Sketch ABCD and its image after the translation (x,y) = (x + 5, y + 5)

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Attachments

Translations, Rotations, Reflections.notebook

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2 Submitted by John Swarts Gr. 4 Kennedy Elem. Translations, Rotations, and Reflections

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3 ACTIVITY OVERVIEW Page 4: Converting old vocabulary into new vocabulary Page 5: Defining Translations Page 6: Examples Page 7: Creating Translations Page 8: Defining Rotations Page 9: Examples Page 10: Creating Rotations Page 11: Defining Reflections Page 12: Examples Page 13: Creating Reflections Page 14: Identify real world translations, rotations, and reflections Page 15: Some interactive online activities

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4 Terms you already know: Now becomes Now becomes Now becomes Slide Turn Flip Old words New words Translation Rotation Reflection (drag to reveal New Word) (drag to reveal New Word) (drag to reveal New Word)

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5 Translation - when a figure is slid in any direction.

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6 Translations can be close together... or far apart. They can slide diagonally from each other. The figure changes in no other way. (click and delete to reveal next rule) (click and delete to reveal next rule) (click and delete to reveal next rule)

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7 Using the Dot boards to help you, drag the shape to a new location to create a Translation .

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8 Rotation - when a figure is turned or rotated around a single point.

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9 Rotations always turn around a single point... and can rotate a little bit... or a lot. They can even rotate around a point that does NOT touch the figure. (click and delete to reveal next rule) (click and delete to reveal next rule) (click and delete to reveal next rule)

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10 Using the Dot boards to help you, drag the shape and turn using the green handle to create a Rotation .

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11 Reflection - when a figure is flipped over a line.

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12 Reflections can be close to or touch the line... or they can be far from the line. The line can be drawn in any direction... or not drawn at all. (click and delete to reveal next rule) (click and delete to reveal next rule) (click and delete to reveal next rule)

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13 Using the Dot boards to help you, choose which image would correctly complete the Reflection . A B D C

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14 Can you find Translations, Rotations, and Reflections in real life? 3 1 2 6 4 5 Answers 1. Windows - Translation 2. Quilt - Rotation 3. Washington Monument - Reflection 4. Pinwheel - Rotation 5. Train Tracks - Translation 6. Comic + Mirror - Reflection (Click and delete to reveal answers)

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15 Now, use the online pattern blocks to create a Translation, Rotation, and Reflection.

SMART Notebook

Page 1: Sep 28-12:45 PMPage 2: Sep 28-12:52 PMPage 3: Sep 28-12:54 PMPage 4: Oct 3-8:52 AMPage 5: Sep 28-12:55 PMPage 6: Oct 14-9:36 AMPage 7: 4.2Page 8: Oct 14-9:39 AMPage 9: Oct 14-9:42 AMPage 10: Oct 14-9:42 AMPage 11: Oct 14-9:44 AMPage 12: Oct 14-9:53 AMPage 13: Oct 14-9:53 AMPage 14: 4.3Page 15: Oct 21-12:19 PMPage 16: Oct 21-12:24 PMPage 17: Oct 21-12:28 PMPage 18: Oct 21-12:28 PMPage 19: Oct 21-12:28 PMPage 20: Oct 21-12:28 PMPage 21: 4.4Page 22: Oct 21-12:46 PMPage 23: Oct 28-12:20 PMPage 24: Oct 28-12:25 PMPage 25: Oct 28-12:25 PMPage 26: Oct 28-12:25 PMPage 27: 4.5Page 28: Oct 28-12:27 PMPage 29: Oct 28-12:30 PMPage 30: Oct 28-12:31 PMPage 31: Oct 28-12:31 PMPage 32: 4.7Page 33: Oct 28-12:36 PMPage 34: Oct 28-12:38 PMPage 35: 4.8Page 36: Nov 19-11:43 AMPage 37: Oct 28-12:50 PMAttachments Page 1