Geometry Chapter 3.1 Flashcards

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Questions and Answers

Name a line that does not intersect AD.

BC

What is the intersection of AD and DB?

D

Which line(s) or plane(s) in the figure appear to fit the following descriptions? (Select all that apply)

  • Line(s) skew to CD and containing point A (correct)
  • Plane(s) parallel to plane EFG and containing point A (correct)
  • Line(s) parallel to CD and containing point A (correct)
  • Line(s) perpendicular to CD and containing point A (correct)

Name the lines through point H that appear skew to CD.

<p>AH, EH</p> Signup and view all the answers

List a pair of Corresponding Angles.

<p>1, 2, 5, 3, 6, 4, 7, 8</p> Signup and view all the answers

List a pair of Alternate Interior Angles.

<p>2, 7, 4, 6</p> Signup and view all the answers

List a pair of Alternate Exterior Angles.

<p>1, 5, 3, 8</p> Signup and view all the answers

List a pair of Consecutive Interior Angles.

<p>2, 7, 4, 5</p> Signup and view all the answers

Classify the pair of numbered angles.

<p>Corresponding angles</p> Signup and view all the answers

What type of angles are these?

<p>Alternate interior angles</p> Signup and view all the answers

Name the pairs of corresponding angles.

<p>1, 3; 5, 7; 2, 4; 6, 8</p> Signup and view all the answers

Name the pairs of alternate interior angles.

<p>2, 7; 3, 6</p> Signup and view all the answers

Name the pairs of consecutive interior angles.

<p>2, 3; 6, 7</p> Signup and view all the answers

Does line AB appear to be parallel, perpendicular, or skew to line CD?

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

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Study Notes

Line Relationships and Intersections

  • Line BC does not intersect with line AD.
  • The intersection point of lines AD and DB is point D.

Lines and Planes Descriptions

  • Lines parallel to line CD that include point A can be identified.
  • Identify lines skew to CD that contain point A, such as AH and EH.
  • Lines perpendicular to line CD can be determined that also contain point A.
  • Planes parallel to plane EFG and containing point A are relevant.

Angle Relationships

  • Corresponding angles pairs include: (1, 5), (2, 6), (3, 7), (4, 8).
  • Alternate interior angles pairs are (2, 7) and (4, 6).
  • Alternate exterior angles pairs are (1, 5) and (3, 8).
  • Consecutive interior angles pairs include (2, 3) and (6, 7).

Angle Classification

  • When classifying angles, pairs such as (1, 3) and (5, 7) denote corresponding angles.
  • Alternate interior angles identified are (2, 7) and (3, 6).
  • Consecutive interior angles also include parts of those previously listed.

Geometric Properties of Line AB

  • Line AB appears to be parallel to line CD in the figure representing a painting easel.

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