Angles Quiz
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Questions and Answers

Which of the following angles is greater than 90 degrees but less than 180 degrees?

  • Obtuse angle (correct)
  • Straight angle
  • Acute angle
  • Right angle
  • A straight angle measures exactly 180 degrees.

    True

    What is the measure of a right angle?

    90 degrees

    An angle that measures less than 90 degrees is called an ______ angle.

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

    Match each type of angle with its corresponding measurement:

    <p>Acute = Less than 90 degrees Right angle = Exactly 90 degrees Obtuse = Greater than 90 but less than 180 degrees Straight = Exactly 180 degrees</p> Signup and view all the answers

    What is the first step to find the radius from the circumference?

    <p>Divide the circumference by π</p> Signup and view all the answers

    The radius is found by multiplying the diameter by 2.

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

    If the circumference is 10π cm, what is the radius?

    <p>5 cm</p> Signup and view all the answers

    The formula to calculate the radius from the circumference is r = ______.

    <p>c/(2π)</p> Signup and view all the answers

    Match the following variables with their meanings:

    <p>C = Circumference r = Radius d = Diameter π = Pi</p> Signup and view all the answers

    What symbol represents parallel lines in a diagram?

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

    Vertically opposite angles are unequal.

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

    What do co-interior angles add up to?

    <p>190°</p> Signup and view all the answers

    When a transversal crosses two parallel lines, the angles that are equal and can be identified by drawing an 'F' are called _______ angles.

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

    Match the angle types with their characteristics:

    <p>Alternate Angles = Flipped and equal Corresponding Angles = Equal angles around a transversal Co-interior Angles = Add up to 190° Perpendicular Lines = Meet at a right angle</p> Signup and view all the answers

    What type of triangle has two equal sides?

    <p>Isosceles triangle</p> Signup and view all the answers

    Scalene triangles have at least two equal sides.

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

    Name the type of angle that is formed when two lines are crossed by another line, creating angles on the same side that are supplementary.

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

    An equilateral triangle has all three sides equal and all three angles equal to _____ degrees.

    <p>60</p> Signup and view all the answers

    Match the triangles to their descriptions:

    <p>Scalene triangle = No equal sides and no equal angles Isosceles triangle = Two equal sides and two equal angles Equilateral triangle = All sides and angles equal (60°)</p> Signup and view all the answers

    What type of triangle has all angles measuring less than 90°?

    <p>Acute-angled triangle</p> Signup and view all the answers

    A right-angled triangle has one angle that measures less than 90°.

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

    What is the range of angles for an obtuse-angled triangle?

    <p>One angle greater than 90° and less than 180°</p> Signup and view all the answers

    An acute-angled triangle cannot have any angle measuring _____ degrees.

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

    Match the following types of triangles with their characteristics:

    <p>Acute-angled triangle = All angles are less than 90° Right-angled triangle = One angle is exactly 90° Obtuse-angled triangle = One angle is greater than 90° but less than 180°</p> Signup and view all the answers

    Study Notes

    Angles

    • Types of Angles:
      • Acute: Less than 90°
      • Right angle: Exactly 90°
      • Obtuse: Greater than 90° but less than 180°
      • Straight: Exactly 180°

    Finding Radius from Circumference

    • Formula relationship: $C = πd$
    • To find the diameter: $d = \frac{C}{π}$
    • To find the radius: $r = \frac{d}{2}$ or $r = \frac{C}{2π}$
    • Example: For $C = 10π cm$, radius $r = 5 cm$.

    Angles and Parallel Lines

    Parallel Lines

    • Definition: Lines that never intersect.
    • Notation: Denoted with arrows (e.g., AB || CD).

    Perpendicular Lines

    • Definition: Lines that intersect at a right angle.
    • Notation: Represented with a T (e.g., OP ⊥ MN).

    Transversal

    • Definition: A line that crosses two or more other lines, creating special angle relationships.

    Angle Relationships

    • Alternate Angles:

      • Flipped angles that are equal; identified with a "Z".
    • Corresponding Angles:

      • Equal angles identified with an "F" pattern.
    • Co-interior Angles:

      • Angles that add up to 180° when found on the same side of the transversal.
    • Vertically Opposite Angles:

      • Formed when two lines intersect; these angles are equal (e.g., ∠a = ∠b, ∠c = ∠d).

    Classifying Angles in Triangles

    • By Sides:

      • Scalene Triangle: No equal sides or angles.
      • Isosceles Triangle: Two equal sides and angles.
      • Equilateral Triangle: All sides and angles are equal (60° each).
    • By Angles:

      • Acute-angled Triangle: All angles are acute (e.g., 40°, 75°, 65°).
      • Right-angled Triangle: One angle is a right angle (90°).
      • Obtuse-angled Triangle: One angle is obtuse (e.g., 100°, 40°, 40°).

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    Description

    Test your knowledge on different types of angles including acute, right, obtuse, and straight angles. This quiz will help reinforce your understanding of angle classifications and their properties.

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