Math Gr 8 Ch 9: Geometry of Straight Lines
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Questions and Answers

What is the sum of angles that form on a straight line?

  • 90°
  • 360°
  • 270°
  • 180° (correct)

    • What is the relationship between two angles that add up to 180°?

  • They are adjacent angles
  • They are supplementary angles (correct)
  • They are complementary angles
  • They are vertically opposite angles

    • What is the characteristic of adjacent angles that sum to 180°?

  • They are vertically opposite angles
  • They are complementary angles
  • They are supplementary angles
  • They are supplementary adjacent angles (correct)

    • What is the formula for angles on a straight line?

    <p>∠1 + ∠2 + ∠3 = 180°</p> Signup and view all the answers

    What is the characteristic of vertically opposite angles?

    <p>They are always equal</p> Signup and view all the answers

    What is the formula for vertically opposite angles?

    <p>∠a = ∠c and ∠b = ∠d</p> Signup and view all the answers

    What is the characteristic of corresponding angles when two lines are parallel?

    <p>They are always equal</p> Signup and view all the answers

    What is the characteristic of co-interior angles when two lines are parallel?

    <p>They are always supplementary</p> Signup and view all the answers

    What is the relationship between alternate exterior angles formed by a transversal intersecting two parallel lines?

    <p>They are equal</p> Signup and view all the answers

    What is the sum of the interior angles of a quadrilateral formed by transversals and parallel lines?

    <p>360°</p> Signup and view all the answers

    What is the relationship between co-interior angles formed by a transversal intersecting two parallel lines?

    <p>They are supplementary</p> Signup and view all the answers

    How can you solve problems involving angles formed by a transversal intersecting parallel lines?

    <p>Set up equations based on angle relationships</p> Signup and view all the answers

    What type of angles are formed by a transversal intersecting two lines on the same side of the transversal but outside the two lines?

    <p>Alternate Exterior Angles</p> Signup and view all the answers

    What is the formula for corresponding angles formed by a transversal intersecting two parallel lines?

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

    What type of angles are formed by a transversal intersecting two lines on the same side of the transversal but inside the two lines?

    <p>Alternate Interior Angles</p> Signup and view all the answers

    What is the relationship between alternate interior angles formed by a transversal intersecting two parallel lines?

    <p>They are equal</p> Signup and view all the answers

    What is the relationship between alternate exterior angles formed by a transversal intersecting two parallel lines?

    <p>They are equal</p> Signup and view all the answers

    What is the formula for co-interior angles formed by a transversal intersecting two parallel lines?

    <p>Co-interior angles are supplementary</p> Signup and view all the answers

    What type of angles are formed by a transversal intersecting two lines on the opposite sides of the transversal but inside the two lines?

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

    What is the relationship between corresponding angles formed by a transversal intersecting two parallel lines?

    <p>They are equal</p> Signup and view all the answers

    What is the sum of the interior angles of a quadrilateral formed by transversals and parallel lines?

    <p>360°</p> Signup and view all the answers

    What is the relationship between alternate interior angles formed by a transversal intersecting two parallel lines?

    <p>They are equal</p> Signup and view all the answers

    How can you solve problems involving angles formed by a transversal intersecting parallel lines?

    <p>By using algebra and setting up equations based on the relationships between angles</p> Signup and view all the answers

    If two parallel lines are intersected by a transversal, what can be said about the angles formed?

    <p>Corresponding, alternate interior, and alternate exterior angles are equal</p> Signup and view all the answers

    What is the characteristic of two lines that have adjacent supplementary angles of 90?

    <p>The lines are perpendicular</p> Signup and view all the answers

    What is the relationship between the angles formed by a transversal intersecting two parallel lines?

    <p>The corresponding angles are equal</p> Signup and view all the answers

    What is the characteristic of angles formed by a transversal intersecting two lines on the same side of the transversal but inside the two lines?

    <p>They are alternate interior angles</p> Signup and view all the answers

    If two lines intersect, what is the relationship between the vertically opposite angles?

    <p>They are always equal</p> Signup and view all the answers

    What is the characteristic of angles formed by a transversal intersecting two lines on the same side of the transversal but outside the two lines?

    <p>They are alternate exterior angles</p> Signup and view all the answers

    If two lines are parallel, what is the relationship between their co-interior angles?

    <p>They are always supplementary</p> Signup and view all the answers

    What is the formula for the sum of angles formed by a straight line?

    <p>( \angle 1 + \angle 2 + \angle 3 = 180 )</p> Signup and view all the answers

    What is the characteristic of a transversal that intersects two parallel lines?

    <p>It forms alternate angles</p> Signup and view all the answers

    If two lines are perpendicular, what is the measure of their adjacent supplementary angles?

    <p>90°</p> Signup and view all the answers

    What can be said about the angles formed by a transversal intersecting two parallel lines?

    <p>They are equal if corresponding</p> Signup and view all the answers

    If two lines intersect, what is the relationship between the vertically opposite angles?

    <p>They are always equal</p> Signup and view all the answers

    What is the characteristic of co-interior angles formed by a transversal intersecting two parallel lines?

    <p>They are supplementary if parallel</p> Signup and view all the answers

    What can be said about the angles formed by a transversal intersecting two lines on the same side of the transversal but inside the two lines?

    <p>They are alternate interior angles</p> Signup and view all the answers

    What is the characteristic of two lines that have adjacent supplementary angles of 90°?

    <p>They are perpendicular</p> Signup and view all the answers

    What is the relationship between the alternate exterior angles formed by a transversal intersecting two parallel lines?

    <p>They are equal.</p> Signup and view all the answers

    If two lines are parallel, what can be said about their corresponding angles formed by a transversal?

    <p>They are always equal</p> Signup and view all the answers

    What is the characteristic of angles formed by a transversal intersecting two lines on the opposite sides of the transversal but inside the two lines?

    <p>They are alternate interior angles</p> Signup and view all the answers

    What is the sum of the co-interior angles formed by a transversal intersecting two parallel lines?

    <p>180°</p> Signup and view all the answers

    If two lines are parallel, what can be said about the corresponding angles formed by a transversal?

    <p>They are equal.</p> Signup and view all the answers

    What is the relationship between the alternate interior angles formed by a transversal intersecting two parallel lines?

    <p>They are equal.</p> Signup and view all the answers

    In a quadrilateral formed by transversals and parallel lines, what is the sum of the interior angles?

    <p>360°</p> Signup and view all the answers

    How can you solve problems involving angles formed by a transversal intersecting parallel lines?

    <p>By setting up equations based on the relationships between angles.</p> Signup and view all the answers

    What is the characteristic of co-interior angles formed by a transversal intersecting two parallel lines?

    <p>They are supplementary.</p> Signup and view all the answers

    If two lines are parallel, what can be said about the alternate interior angles formed by a transversal?

    <p>They are equal.</p> Signup and view all the answers

    If two angles are supplementary, what can be inferred about their sum?

    <p>They are equal to 180°.</p> Signup and view all the answers

    If two lines are perpendicular, what can be said about their adjacent angles?

    <p>They are equal to 90°.</p> Signup and view all the answers

    What is a characteristic of co-interior angles formed by a transversal intersecting two parallel lines?

    <p>They are supplementary.</p> Signup and view all the answers

    If two lines intersect, what can be said about their vertically opposite angles?

    <p>They are equal.</p> Signup and view all the answers

    What can be said about corresponding angles formed by a transversal intersecting two parallel lines?

    <p>They are equal.</p> Signup and view all the answers

    What is a characteristic of alternate interior angles formed by a transversal intersecting two parallel lines?

    <p>They are equal.</p> Signup and view all the answers

    If two lines are parallel, what can be said about their alternate exterior angles formed by a transversal?

    <p>They are equal.</p> Signup and view all the answers

    What is a characteristic of angles formed by a transversal intersecting two lines on the same side of the transversal but inside the two lines?

    <p>They are co-interior angles.</p> Signup and view all the answers

    What is the relationship between the alternate exterior angles formed by a transversal intersecting two non-parallel lines?

    <p>No specific relationship</p> Signup and view all the answers

    If two parallel lines are intersected by a transversal, what can be said about the sum of co-interior angles?

    <p>The sum is 180°</p> Signup and view all the answers

    What is the relationship between the corresponding angles formed by a transversal intersecting two parallel lines and two non-parallel lines?

    <p>They are equal only for parallel lines</p> Signup and view all the answers

    In a quadrilateral formed by transversals and parallel lines, what is the sum of two opposite interior angles?

    <p>180°</p> Signup and view all the answers

    What is the relationship between the alternate interior angles formed by a transversal intersecting two parallel lines and two non-parallel lines?

    <p>They are equal only for parallel lines</p> Signup and view all the answers

    If two lines are parallel, what can be said about the sum of two corresponding angles formed by a transversal?

    <p>The sum is 180°</p> Signup and view all the answers

    What is the relationship between the co-interior angles formed by a transversal intersecting two parallel lines and two non-parallel lines?

    <p>They are supplementary only for parallel lines</p> Signup and view all the answers

    In a quadrilateral formed by transversals and parallel lines, what is the relationship between two adjacent interior angles?

    <p>They are supplementary</p> Signup and view all the answers

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