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

Which type of angle measures exactly 90°?

<p>Straight angle (D)</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 (C)</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 (D)</p> Signup and view all the answers

What do we call segments with the same measurement?

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

Flashcards

Area of a Square Formula

Area equals side length multiplied by itself (A = s × s).

Circle Circumference Formula

Circumference is equal to 2 times Pi times the radius of the circle (C = 2ℼr).

Straight Angle Measurement

A straight angle measures exactly 90 degrees.

Same-Side Interior Angles

These angles lie on the same side of the transversal and add up to 180°.

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SSS Congruence Postulate

If all three corresponding sides of two triangles are congruent, the triangles are congruent.

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Congruent Segments

Segments that have the same measurement.

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Exterior Angles

Angles that lie outside the two lines cut by a transversal.

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Radius Formula

The radius of a circle is the diameter divided by 2.

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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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