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Understanding Geometry: Lines, Angles, Transformations, and Congruency

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51 diapositives · 684 Views · Aug 25, 2014

Dive into the world of geometry with this comprehensive guide on intersecting lines, angles, transformations, and symmetry. Learn about vertical angles, corresponding angles, and find the measures of unknown angles. Explore different transformations such as translation, reflection, and rotation, and classify polygons like trapezoids and quadrilaterals. Understand key concepts like slope, congruency, and the Pythagorean theorem. This resource is perfect for students seeking to strengthen their geometry skills with practice problems and conceptual explanations.

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  1. Intersecting lines and angles Transformations & Symmetry Slope & Congruency Polygons 10 pt 10 pt 10 pt 10 pt 10 pt 20 pt 20 pt 20 pt 20 pt 30 pt 30 pt 30 pt 30 pt 40 pt 40 pt 40 pt 40 pt 50 pt 50 pt 50 pt

  2. 1 2 3 4 5 6 7 8 Angles 1 & 4 are ___________

  3. Vertical

  4. 1 2 3 4 5 6 7 8 Angles 2 & 6 are ___________

  5. Corresponding

  6. 1 2 3 4 5 6 7 8 If angle 3 is 135°, what is the measure of angle 4

  7. 45°

  8. 1 2 3 4 If the measure of angle 2 is x °, what is the measure of angle 4?

  9. 180 – x

  10. 1 2 3 4 5 6 7 8 Angles 1 & 8 are ______

  11. Alternate exterior

  12. What kind of transformation does the above drawing show?

  13. Translation

  14. What kind of transformation does the above drawing show?

  15. Reflection or Rotation

  16. Graph & name the quadrilateral with the following vertices. (-3,2) (-1,2) (-5,-1) (1,-1)

  17. Trapezoid

  18. Complete the figure. The dashed line is a Line of symmetry

  19. Complete the figure. The point is the center of rotation. 3 – fold

  20. What is the slope of line

  21. 1

  22. What is the slope of line

  23. Rectangle ABCD rectangle EFGH. Find x A B E F D C H G (3x)º 90º

  24. 30 o

  25. Pentagon ABCDE Pentagon FGHIJ Find n A H I E B G J D C F 12 14 14 7 + n

  26. 5 units

  27. Quad RSTU Quad HIFG Find angle T

  28. angle T = 84 o

  29. (c + 38)o c o 30 o What is the value of c? What kind of triangle is this?

  30. 56 o Acute & scalene

  31. The second angle in a triangle is 3/5 as large as the first. The third angle is 1 ½ times as large as the second. Find the measures of all three angles.

  32. Angle 1 = 72o Angle 2 = 43.2o Angle 3 = 64.8o

  33. Find the sum of the angles of the figure below.

  34. 7200

  35. Find the measure of one angle in the regular figure below.

  36. 135 0

  37. 16.37 m 13.57 m 7.56 m 9.875 m What is the area of the trapezoid above?

  38. 118.15 m2

  39. What is the Pythagorean Theorem?

  40. a2 + b2 = c2

  41. What two perfect squares is between?

  42. and

  43. 4 ft x 4 ft Find the missing side.

  44. 5.66 ft

  45. 3 in 4 in x Find the missing side.

  46. 2.65 in

  47. Find the area of the green region 3.6 cm 3.6 cm