Geometry and Circle Properties
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Questions and Answers

What is the formula for the area of a square?

  • A = ℼr^2
  • A = (L + W) × 2
  • A = s × s (correct)
  • A = l x w

    • What is the formula for finding the circumference of a circle?

  • C = 2ℼr (correct)
  • C = side + side + side + side
  • C = 2 x (L + W)
  • C = 2 x radius

    • Which type of triangle has two congruent sides and one unique side and angle?

  • Equilateral triangle (correct)
  • Obtuse triangle
  • Right triangle
  • Scalene triangle

    • What are the exterior angles in the context of geometric figures?

    <p>Angles that lie outside the two lines cut by a transversal</p> Signup and view all the answers

    What is the formula to find the radius of a circle if the diameter is given?

    <p>R = Diameter/2</p> Signup and view all the answers

    Which type of angle measures exactly 90°?

    <p>Straight angle</p> Signup and view all the answers

    What is the name for angles that lie on the same side of the transversal and add up to 180°?

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

    According to the SSS Congruence Postulate, when are two triangles congruent?

    <p>If the three corresponding sides of triangles are congruent</p> Signup and view all the answers

    What do we call segments with the same measurement?

    <p>Congruent segments</p> Signup and view all the answers

    Which of the following represents exterior angles on the opposite side of the transversal?

    <p>∠1 and ∠7</p> Signup and view all the answers

    Study Notes

    Formulas in Geometry

    • Area of a square is calculated using the formula: A = s², where s represents the length of one side.
    • Circumference of a circle is determined by the formula: C = 2πr or C = πd, where r is the radius and d is the diameter.

    Types of Triangles

    • An isosceles triangle has two congruent sides and one non-congruent side, resulting in equal angles opposite the congruent sides.

    Angles in Geometry

    • Exterior angles refer to angles formed outside of parallel lines when a transversal intersects them.
    • A right angle measures exactly 90°.
    • Consecutive interior angles on the same side of the transversal add up to 180° and are known as supplementary angles.

    Triangle Congruence

    • According to the Side-Side-Side (SSS) Congruence Postulate, two triangles are congruent if all three pairs of corresponding sides are equal in length.

    Segments and Angles

    • Segments with identical lengths are referred to as congruent segments.
    • Exterior angles located on opposite sides of the transversal are called alternate exterior angles.

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    Test your knowledge of geometry and circle properties including calculations for area, perimeter, circumference, and the parts of a circle such as radius, diameter, and more.

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