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Understanding Geometry Concepts: Points, Lines, Planes, Triangles & Quadrilaterals

Dive into the fundamentals of geometry with this comprehensive overview covering essential topics like points, lines, planes, triangles, and quadrilaterals. Explore true or false questions regarding geometric properties, find midpoints, and understand triangle congruence. Learn through practical examples, such as angle measures in triangles, properties of trapezoids and rectangles, and transformations including reflections and dilations. This guide aims to reinforce your understanding of geometric principles and their applications in problem-solving.

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Understanding Geometry Concepts: Points, Lines, Planes, Triangles & Quadrilaterals

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  1. Points Lines and Planes Triangles Quadrilaterals Hodgepodge Transformations 1pt 1 pt 1 pt 1pt 1 pt 2 pt 2 pt 2pt 2pt 2 pt 3 pt 3 pt 3 pt 3 pt 3 pt 4 pt 4 pt 4pt 4 pt 4pt 5pt 5 pt 5 pt 5 pt 5 pt

  2. 1 point Points lines and planes If two lines intersect, only one plane contains both the lines.TRUE or FALSE?

  3. 1 point Points lines and planes TRUE!

  4. 2 points Points lines and planes When two planes intersect, two lines are formed. TRUE or FALSE?

  5. 2 points Points lines and planes FALSE

  6. 3 points Points lines and planes If two points lie in a plane, the line joining them also lies in the same plane.TRUE or FALSE?

  7. 3 points Points lines and planes TRUE!

  8. 4 points Points lines and planes Find the coordinates of the midpoint of a segment with endpoints D(6,6) and E(-2,2)

  9. 4 points Points lines and planes (2,4)

  10. 5 points Points lines and planes Two acute angles are complementary Always True, Sometimes True, Never True?

  11. 5 points Points lines and planes Sometimes True

  12. 1 point Triangles Name 2 ways you can NOT prove 2 triangles congruent.

  13. 1 point Triangles AA and SSA

  14. 2 points Triangles Can an isosceles triangle be an acute triangle?

  15. 2 points Triangles YES

  16. 3 points Triangles In isosceles triangle PQR <P is the vertex angle. If m<Q=8x-3 and m<R=2x+15, find the measure of <P.

  17. 3 points Triangles 138

  18. 4 points Triangles If triangle IGH is congruent to triangle KLJ, then <H is congruent to which angle?

  19. 4 points Triangles <J

  20. 5 points Triangles Find the measures of the legs of an equilateral triangle PQR if PQ=5x-7 and PR= 2x+5

  21. 5 points Triangles 13

  22. 1 point Quadrilaterals A trapezoid is a parallelogram. True or False?

  23. 1 point Quadrilaterals False

  24. 2 points Quadrilaterals A rectangle has four congruent sides. Always, sometimes, never.

  25. 2 points Quadrilaterals Sometimes

  26. 3 points Quadrilaterals If DEFG is a square. Find the measure of angle DEG

  27. 3 points Quadrilaterals 45

  28. 4 points Quadrilaterals Opposite angles are always congruent in a…. (name all that apply)

  29. 4 points Quadrilaterals Parallelogram, rectangle, rhombus, square

  30. 5 points Quadrilaterals In rectangle RSTU, RS=20, UT=x+10, RU=y+3 and ST=15. Find the values of x and y.

  31. 5 points Quadrilaterals x=10, y=12

  32. 1 point Hodgepodge A right triangle can be scalene. True or False?

  33. 1 point Hodgepodge True

  34. 2 points Hodgepodge Triangles can be proven similar using what reason(s)?

  35. 2 points Hodgepodge AA, SSS, SAS

  36. 3 points Hodgepodge Triangle ABC is similar to a triangle whose sides are 3,7, and 6. The largest side of ABC is 24. Find the perimeter of ABC.

  37. 3 points Hodgepodge 64

  38. 4 points Hodgepodge Name a pair of alternate interior angles.

  39. 4 points Hodgepodge 3 and 6 or 2 and 5

  40. 5 points Hodgepodge Name 2 pairs of corresponding angles

  41. 5 points Hodgepodge 2 and 6, 1 and 5, 4 and 8, 3 and 7

  42. 1 point Transformations Is this a line reflection?

  43. 1 point Transformations No

  44. 2 points Transformations If a figure is reflected over the line y=x, then the rule is_______

  45. 2 points Transformations (x,y)-> (y,x)

  46. 3 points Transformations  Under the translation the point (-2,3) will become (-3,1). True or False?

  47. 3 points Transformations False

  48. 4 points Transformations A large blockhead is 6 cm wide.  After a dilation, the blockhead is 2.4 cm wide.  The scalar factor for this dilation is:

  49. 4 points Transformations 0.4

  50. 5 points Transformations A(2,3), B(2,-1), C(-1,-1) State the points under a rotation of 270 degrees

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