Geometry Knowledge Quiz

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Questions and Answers

Which of the following is a type of quadrilateral that has opposite sides parallel and congruent?

  • Trapezoid (correct)
  • Square
  • Rectangle
  • Rhombus

What is the formula to find the area of a circle?

  • A = pi x r^2 (correct)
  • A = pi x r
  • A = 2 x pi x r^2
  • A = 2 x pi x r

What is the measure of the interior angles of a regular pentagon?

  • 120 degrees
  • 108 degrees (correct)
  • 144 degrees
  • 135 degrees

Which of the following is NOT a type of transformation in geometry?

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

What is the name of the theorem that states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides?

<p>Pythagorean Theorem (D)</p> Signup and view all the answers

Which of the following is a type of angle formed by two intersecting lines that measure less than 90 degrees?

<p>Acute Angle (D)</p> Signup and view all the answers

Flashcards

Parallelogram

A quadrilateral with two pairs of parallel and congruent sides.

Area of a Circle formula

The formula used to calculate the area of a circle, where A represents the area, pi is a mathematical constant approximately equal to 3.14, and r represents the radius of the circle.

Regular Pentagon

A five-sided polygon with equal side lengths and equal interior angles.

Dilation

A transformation that alters the size of a geometric figure, making it larger or smaller.

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Pythagorean Theorem

A fundamental theorem in geometry stating that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

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Acute Angle

An angle that measures less than 90 degrees.

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Study Notes

Quadrilaterals

  • A parallelogram is a type of quadrilateral with opposite sides parallel and congruent.

Area of a Circle

  • The formula for finding the area of a circle is A = Ï€r², where r represents the radius.

Interior Angles of a Regular Pentagon

  • The measure of each interior angle in a regular pentagon is 108 degrees.

Transformations in Geometry

  • Common types of transformations include translation, rotation, reflection, and dilation. An option that does not correspond to a transformation may include an unrelated geometric property.

Pythagorean Theorem

  • The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). This is expressed as c² = a² + b².

Types of Angles

  • An acute angle is formed by two intersecting lines and measures less than 90 degrees.

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