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What is Congruent?

What is Congruent?. Determine what is congruent on each slide. What is congruent?. Are the triangles congruent?. D. Why not?. Are the triangles congruent?. D. How would you prove it?. What is congruent?. Are the triangles congruent?. What do you need to make them congruent?.

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What is Congruent?

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  1. What is Congruent? Determine what is congruent on each slide.

  2. What is congruent?

  3. Are the triangles congruent? D Why not?

  4. Are the triangles congruent? D How would you prove it?

  5. What is congruent?

  6. Are the triangles congruent? What do you need to make them congruent?

  7. Are the triangles congruent? What are the different ways you could prove them congruent?

  8. Are the triangles congruent? How does changing the side congruence change the proof?

  9. What is congruent?

  10. Are the triangles congruent? How would you prove it?

  11. What is congruent?

  12. ΔAFB is congruent to what triangle? ΔEAD is congruent to Δ? How will you prove it? Let: FB=BD AB=CB How will you prove it? What is FBDE?

  13. What is congruent?

  14. Are the triangles congruent? How would you prove it?

  15. What is congruent? Examine BD. Without further labeling, all BD does is divide ΔABC. <A & <C are the base angles.

  16. Are the triangles congruent? How would you prove it? BD is a median. <A & <C are the base angles.

  17. Are the triangles congruent? How would you prove it? BD is a perpendicular bisector. <A & <C are the base angles.

  18. Are the triangles congruent? How would you prove it? BD is an angle bisector. <A & <C are the base angles.

  19. Are the triangles congruent? How would you prove it? BD is an altitude. <A & <C are the base angles.

  20. What is congruent? ABCDEF is a regular hexagon.

  21. Are the triangles congruent? ABCDEF is a regular hexagon. How would you prove it?

  22. What is congruent?

  23. ΔADB is congruent to what triangle? How would you prove it?

  24. What is congruent? Remember, all you know about parallelograms is that they have 2 pairs of parallel sides.

  25. What is congruent? To determine what is congruent, sometimes you first determine what is supplementary.

  26. What is congruent?

  27. Are the triangles congruent? How would you prove it?

  28. Are the triangles congruent? Which ones? How would you prove it? What do you now know about parallelograms?

  29. What is congruent? Remember, rectangles have 4 right angles.

  30. What is congruent?

  31. Are the triangles congruent? How would you prove it?

  32. Are the triangles congruent? Which ones? How would you prove it? What do you now know about rectangles?

  33. What is congruent? Remember, a kite has two pairs of consecutive congruent sides.

  34. Are the triangles congruent? How would you prove it?

  35. Are the triangles congruent? Which ones? What do you now know about kites? What is different from rectangles? How would you prove it?

  36. What is congruent? A ABCD is a rhombus. D B C

  37. Are the triangles congruent? A ABCD is a rhombus. D B C

  38. Are the triangles congruent? Which ones? A ABCD is a rhombus. What do you now know about rhombi? What is different from rectangles? From kites? E D B The same? C

  39. Congruency Toolbox Angles Sides Given Reflexive Overlapping Segments Radii Diameter Midpoint Perpendicular Bisector Isosceles Triangle Regular Polygon 2 Pairs of Congruent Sides in Right Triangle • Given • Reflexive • Vertical • Alternate Interior <‘s, || • Corresponding <‘s, || • Right <‘s, Supplementary • Right <‘s, Linear Pair • Right <‘s, Consecutive Int. • Angle Bisector • Isosceles Triangle • Altitude • Perpendicular Bisector • Regular Polygon

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