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Ch. 3 Review

Ch. 3 Review. Honors Geometry CCHS. Transformations Topics. Find image given a description of a translation, reflection, or rotation. Find image given a function describing a transformation. Determine if the transformation is a translation, reflection, rotation, or none of the above.

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Ch. 3 Review

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  1. Ch. 3 Review Honors Geometry CCHS

  2. Transformations Topics • Find image given a description of a translation, reflection, or rotation. • Find image given a function describing a transformation. Determine if the transformation is a translation, reflection, rotation, or none of the above. • Translate figures using directed line segments.

  3. Transformations Topics • Reflect over a given line. • Rotate 90 degrees or 180 degrees around a given point. • Determine lines of reflectional symmetry. • Understand the concept of rotational symmetry.

  4. Triangle Congruence • Determine if triangles can be proved congruent by SSS, SAS, ASA, or none of the above. • Write basic two-column proofs proving triangles congruent (MAKE SURE TO INCLUDE THREE CONGRUENCE STATEMENTS!) • Apply properties to prove corresponding parts of triangles congruent.

  5. Transformations • Give the image if the point (-1, 5) is translated up 2 and to the left 3. • Give the image if (-3, 6) is reflected over the y axis. • Give the image if (-2, 5) is reflected over the line y = 2.

  6. Transformations • Give the image if (2, -5) is rotated 90 degrees clockwise about the origin. • Give the resulting image if the function (x, y)  (y, -x) is applied to the point (-1, 4). Is this a translation, reflection, or rotation? • Write a function that reflects a point over the x-axis.

  7. Transformations

  8. Transformations • How many lines of reflectional symmetry does the figure have? • What is the smallest angle about which the pentagon has rotational symmetry?

  9. Which rule proves the triangles congruent? • Given: BCD

  10. ASA

  11. What rule proves the triangles congruent?

  12. SAS

  13. What rule proves the triangles congruent?

  14. Not enough information (SSA labeling)

  15. What rule proves the triangles congruent? Given:

  16. SAS

  17. What rule proves the triangles congruent?

  18. Not enough information (AAS labeling)

  19. What rule proves the triangles congruent? Given:

  20. ASA

  21. One Step Proof: Given: Prove:

  22. Subtraction Property

  23. One Step Proof Given: <1 comp. <4 <2 comp. <3 Prove:

  24. If angles are complementary to congruent angles, then they are congruent

  25. One Step Proof Given: Prove:

  26. Subtraction Property

  27. One Step Proof: Given: M and N are mdpts Prove:

  28. Multiplication Property

  29. Chapter 3 Tips • Labeling Congruent Triangles: Follow around the perimeter of a labeled triangle • Review Properties (sec. 2.4-2.7 in book) • Proofs: LABEL DIAGRAMS!!! • Proofs: Include all labeling steps in proof • Triangle Congruence Proofs: Make sure you have THREE CONGRUENCE statements! (Label S and A) • Proofs: Make sure you have satisfied requirements of IF statements before including a step.

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