assignment about geometry fundamentals

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Read all instructions carefully.Show all your work.Nothing is drawn to scale.

Use the figure below to answer problems 1 – 8.

  • Name a ray opposite to : __________
  • Name a ray with endpoint S that contains W: __________
  • Name two congruent segments: __________
  • Name two congruent angles: __________
  • __________
  • Name the vertex and sides of
  • If then _____.

Vertex: __________Sides: __________

For problems 9 – 13, classify each statement as true or false.

  • ______ If two planes intersect, then they intersect at exactly one point.
  • ______ A postulate is a rule that is accepted without proof.
  • ______ If two angles form a linear pair then they are adjacent.
  • ______ The complement of an acute angle is another acute angle.
  • ______ The supplement of an obtuse angle is another obtuse angle.
  • The three undefined terms in geometry are: ________________, ________________, and_______________.
  • Consider the figure at the right for the following.
    • Name a point coplanar to points A, B, and D: _____
    • Determine the intersection of planes FEA and FGD: _____
  • Point D is a point on.Point F is a point between A and D., , , and .Draw a sketch.Then, solve for x and find the length of the segments.
  • What postulate was used to obtain the answers in problem 16?_________________________________
  • Use the figure at the right to find the following angle measures.

What is the relationship between ?

Name a linear pair.

For problems 19 – 21, find the measure of each unknown angle.

For questions 22-23 use the following coordinates A (-1,5) and B (4, 2).

22.Find the length of .

23.Find the midpoint of .

For question 24, M is the midpoint of segment NP.Use the following coordinates: N (-2, 4) and M (-1, 0).

24.Find the coordinates of P.

Assume and are complementary and and are supplementary to answer the following questions.

25.If , then = ______ and ______.

26.Draw a segment.Then, copy it and find its perpendicular bisector.Identify the midpoint as point M in your construction.

27.Draw an obtuse angle.Then, copy and bisect it.Identify the angle bisector as.

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