Euclidean Geometry Flashcards

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Questions and Answers

Which distance measures 7 units?

The distance between points M and P.

Planes A and B both intersect plane S. Which statements are true based on the diagram? Check all that apply.

  • Points M, P, and Q are noncollinear. (correct)
  • Point P is the intersection of line n and line g. (correct)
  • All statements are false.
  • Points N and K are on plane A and plane S. (correct)

Which undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair (x, y)?

Point

Points J and K lie on plane H. How many lines can be drawn through points J and K?

<p>1</p> Signup and view all the answers

Planes A and B intersect. Which describes the intersection of plane A and line m?

<p>Point X</p> Signup and view all the answers

Which statements are true regarding undefinable terms in geometry? Check all that apply.

<p>A point's location on the coordinate plane is indicated by an ordered pair (x,y). (A), A plane consists of an infinite set of points. (B), A line consists of one dimension only. (D)</p> Signup and view all the answers

Consider points R, S, and T. Which statement is true about the geometric figure that can contain these points?

<p>One plane can be drawn so it contains all three points.</p> Signup and view all the answers

Which best describes the dimensions of a line?

<p>A line has one dimension because it is made up of all points that extend infinitely in either direction.</p> Signup and view all the answers

Planes X and Y and points C, D, E, and F are shown. Which statement is true about the points and planes?

<p>The line that can be drawn through points D and E is contained in plane Y.</p> Signup and view all the answers

According to the number line, what is the distance between points A and B?

<p>14 units</p> Signup and view all the answers

Which undefined geometric term is described as a two-dimensional set of points that has no beginning or end?

<p>Plane</p> Signup and view all the answers

Which statements are true regarding undefinable terms in geometry? Check all that apply.

<p>A line has one dimension, length. (C), A plane consists of an infinite set of lines. (D)</p> Signup and view all the answers

Planes X and Y and points J, K, L, M, and N are shown. Exactly how many planes contain points J, K, and N?

<p>1</p> Signup and view all the answers

Planes A and B both intersect plane S. Which statements are true based on the diagram? Check all that apply.

<p>Points M, P, and Q are noncollinear. (A), Points N and K are on plane A and plane S. (C), Point P is the intersection of line n and line g. (D)</p> Signup and view all the answers

Plane H is shown. Which points are coplanar and noncollinear?

<p>Points A, B, and D</p> Signup and view all the answers

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Study Notes

Distance Measures

  • The distance between points M and P is 7 units.

Plane Intersections

  • Planes A and B intersect plane S, with points N and K on both planes.
  • Point P is the intersection of lines n and g.
  • Points M, P, and Q are noncollinear.

Undefined Terms in Geometry

  • A point on a coordinate plane is represented by an ordered pair (x, y).
  • A line is defined as having one dimension, extending infinitely in both directions.
  • A plane is a two-dimensional set of points without a beginning or end.
  • A plane consists of an infinite set of points or lines.

Points and Lines

  • There is only one line that can be drawn through points J and K on plane H.
  • The intersection of plane A with line m is denoted as point X.
  • The line through points D and E is contained within plane Y.

Geometric Figures and Dimensions

  • If points R, S, and T are considered, a single plane can be drawn that contains all three.
  • Points A and B are 14 units apart according to the number line.
  • Points A, B, and D are coplanar and noncollinear.

Planes and Points

  • Exactly one plane contains points J, K, and N.
  • Both planes A and B intersect plane S, sharing points N and K while point P is the intersection of lines n and g.

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