Geometry Chapter on Angles and Lines
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Questions and Answers

Which of the following are examples of alternate interior angles?

  • <3 & <6 (correct)
  • <4 & <5
  • <4 & <6 (correct)
  • <3 & <5

Which of the following are pairs of consecutive interior angles?

  • <4 & <6 (correct)
  • <4 & <8
  • <2 & <6
  • <3 & <5 (correct)

Match the following angle pairs with their special name.

<1 & <5 = Corresponding angles <3 & <6 = Alternate interior angles <2 & <7 = Alternate exterior angles <4 & <6 = Consecutive interior angles

What kinds of angles are the following: <1 and <5?

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

If two parallel lines are cut by a transversal, then each pair of corresponding angles is congruent.

<p>True (A)</p> Signup and view all the answers

If two parallel lines are cut by a transversal, then each pair of alternate interior angles are supplementary.

<p>False (B)</p> Signup and view all the answers

If two parallel lines are cut by a transversal, then each pair of alternate exterior angles is congruent.

<p>True (A)</p> Signup and view all the answers

If two parallel lines are cut by a transversal, then each pair of consecutive interior angles are supplementary.

<p>True (A)</p> Signup and view all the answers

If you know that the measure of angle <5 is 113 degrees, what is the measure of angle <1 ?

<p>113 degrees</p> Signup and view all the answers

If you know that the measure of angle <8 is 80 degrees, what is the measure of angle <2?

<p>80 degrees</p> Signup and view all the answers

The angles <3 and <6 in the diagram are what kind of angle pair?

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

What is the measure of angle <1 in the diagram?

<p>75 degrees</p> Signup and view all the answers

What is the value of x?

<p>7</p> Signup and view all the answers

What is the special name for the angle pair <2 and <12?

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

What is the measure of angle <2?

<p>93 degrees</p> Signup and view all the answers

What kind of transversal is line a?

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

What is an example of parallel planes in this picture?

<p>The top and bottom parts of the table</p> Signup and view all the answers

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Flashcards

Parallel

Two figures that do not intersect.

Parallel Lines

Two lines that are coplanar and do not intersect.

Skew Lines

Lines that do not intersect and are in different planes.

Parallel Planes

Planes that do not intersect.

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Transversal

A line that intersects two or more coplanar lines at two different points.

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Interior Angles

Angles formed between the two lines intersected by a transversal.

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Exterior Angles

Angles formed outside the two lines intersected by a transversal.

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Special Angle Pairs

Pairs of angles formed when two lines are intersected by a transversal.

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Consecutive Interior Angles

A pair of interior angles on the same side of the transversal.

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Alternate Interior Angles

A pair of interior angles that are non-adjacent and lie on opposite sides of the transversal.

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Alternate Exterior Angles

A pair of exterior angles that are non-adjacent and lie on opposite sides of the transversal.

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Corresponding Angles

A special angle pair that lie on the same side of the transversal and the same side of the lines. One is an interior angle and the other is an exterior angle.

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Supplementary Angles

Angles that add up to 180 degrees.

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Complementary Angles

Angles that add up to 90 degrees.

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Congruent Angles

Two angles that are equal in measure.

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Angle Bisector

A line that divides an angle into two congruent angles.

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Perpendicular Lines

Two lines that intersect to form a right angle.

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Adjacent Angles

A pair of angles that share a common vertex and side.

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Vertical Angles

A pair of angles that are across from each other, formed by intersecting lines.

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Corresponding Angle

The angle formed by a transversal and one of the lines it intersects.

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Study Notes

Vocabulary

  • Parallel: Two figures that do not intersect
  • Parallel Lines: Coplanar lines that do not intersect
  • Skew Lines: Lines that do not intersect and are not in the same plane
  • Parallel Planes: Planes that do not intersect
  • Transversal: A line that intersects two or more coplanar lines at different points
  • Interior Angles: Angles between the two lines intersected by a transversal
  • Exterior Angles: Angles not between the two lines intersected by a transversal
  • Special Angle Pairs: A pair of angles formed by two lines intersected by a transversal

Special Angle Pairs

  • Consecutive Interior Angles: Interior angles on the same side of the transversal
  • Alternate Interior Angles: Interior angles on opposite sides of the transversal and not adjacent
  • Alternate Exterior Angles: Exterior angles on opposite sides of the transversal and not adjacent
  • Corresponding Angles: Angles that are in the same position relative to the two lines and the transversal, one is interior and one is exterior

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Related Documents

Unit V Test Review PDF

Description

Test your understanding of parallel lines, transversals, and special angle pairs in this geometry quiz. Explore definitions, characteristics, and relationships among various types of angles and lines. Perfect for high school students studying geometry.

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