Math Gr 8 Ch 9: Angle Relationships

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Questions and Answers

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

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

What is the name of the angles that add up to 180°?

  • Corresponding angles
  • Alternate angles
  • Complementary angles
  • Supplementary angles (correct)

What is the formula for angles on a straight line?

  • ∅1 + ∅2 + ∅3 = 180° (correct)
  • ∅1 + ∅2 + ∅3 = 90°
  • ∅1 + ∅2 + ∅3 = 360°
  • ∅1 + ∅2 + ∅3 = 270°

What is the definition of vertically opposite angles?

<p>Angles that are opposite each other when two lines intersect (D)</p> Signup and view all the answers

What is the property of vertically opposite angles?

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

What is a transversal in geometry?

<p>A line that intersects at least two other lines (A)</p> Signup and view all the answers

What type of angles are formed when a transversal intersects two parallel lines?

<p>Alternate interior and corresponding angles (D)</p> Signup and view all the answers

What is the relationship between corresponding angles when two lines are parallel?

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

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

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

In the diagram below, ∠a and ∠c are vertically opposite angles. What is the value of ∠a?

<p>70° (C)</p> Signup and view all the answers

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

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

What type of angles are ∠d and ∠f in the diagram below?

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

In the diagram below, if ∠a = 60°, what is the value of ∠e?

<p>60° (D)</p> Signup and view all the answers

What type of angles are ∠c and ∠g in the diagram below?

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

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

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

What is the relationship between ∠d and ∠f in the diagram below?

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

If two lines are intersected by a transversal, and the corresponding angles are equal, what can be said about the lines?

<p>The lines are parallel (A)</p> Signup and view all the answers

If two lines intersect, and the vertically opposite angles are not equal, what can be said about the lines?

<p>The lines are skew (A)</p> Signup and view all the answers

In the diagram below, if ∠a and ∠c are supplementary, what is the value of ∠d?

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

If two lines are intersected by a transversal, and the alternate interior angles are supplementary, what can be said about the lines?

<p>The lines are parallel (C)</p> Signup and view all the answers

In the diagram below, if ∠a and ∠e are corresponding angles, and ∠a = 60°, what is the value of ∠d?

<p>120° (C)</p> Signup and view all the answers

If two lines intersect, and the adjacent supplementary angles are not equal, what can be said about the lines?

<p>The lines are not perpendicular (C)</p> Signup and view all the answers

In the diagram below, if ∠a and ∠c are vertically opposite angles, and ∠a = 60°, what is the value of ∠e?

<p>60° (B)</p> Signup and view all the answers

If two lines are intersected by a transversal, and the co-interior angles are not supplementary, what can be said about the lines?

<p>The lines are not parallel (A)</p> Signup and view all the answers

What is the relationship between two angles that form a straight line?

<p>They are always supplementary. (B)</p> Signup and view all the answers

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

<p>They are always equal but not necessarily supplementary. (B)</p> Signup and view all the answers

What type of angles are formed when two parallel lines are intersected by a transversal?

<p>All of the above types of angles. (D)</p> Signup and view all the answers

If two lines are intersected by a transversal, and the corresponding angles are equal, what can be said about the lines?

<p>They are always parallel. (A)</p> Signup and view all the answers

What is the relationship between the alternate interior angles when two parallel lines are intersected by a transversal?

<p>They are always equal but not necessarily supplementary. (A)</p> Signup and view all the answers

What type of angles are formed when two lines intersect, but not at a right angle?

<p>Only supplementary angles. (C)</p> Signup and view all the answers

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

<p>They are always parallel. (C)</p> Signup and view all the answers

What is the relationship between the adjacent supplementary angles when two lines intersect at a right angle?

<p>They are always equal and 90°. (B)</p> Signup and view all the answers

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