Geometry Basics: Circles, Triangles, and Perimeter/Area Formulas

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Questions and Answers

The formula for the area of a square is Area = ______

s \times s

The perimeter of a square is given by P = side + side + side + side, which can also be written as P = ______

4 \times side

The area of a rectangle is given by A= l \times w, where l is the length and w is the width. The perimeter of a rectangle is given by P = (L + W) \times 2. Another term for perimeter is ______

circumference

The formula for the area of a circle is A = ℼr^2. The radius of a circle is given by R = ______

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

The six types of triangles are: isosceles, equilateral, scalene, obtuse, acute, and right. An isosceles triangle is a triangle with two congruent sides and one ______ side and angle.

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

SSS Congruence Postulate: If the three corresponding sides of triangles are ______, then the triangles are congruent.

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

SAS Congruence Postulate: If two corresponding sides and their included angle of triangles are ______, then the triangles are congruent.

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

ASA Congruence Postulate: If two corresponding angles and their included side of triangles are ______, then the triangles are congruent.

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

An angle that measures between 0° and 90° is called an ______ angle.

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

An angle that measures between 90° and 180° is called an ______ angle.

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

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Study Notes

Formulas for Geometric Shapes

  • The formula for the area of a square is Area = side².
  • The perimeter of a square is P = 4 × side.

Rectangles

  • The area of a rectangle is A = l × w, where l is the length and w is the width.
  • The perimeter of a rectangle is P = (L + W) × 2.
  • Another term for perimeter is circumference.

Circles

  • The formula for the area of a circle is A = ℼr².
  • The radius of a circle is given by R = √(A/ℼ).

Triangles

  • There are six types of triangles: isosceles, equilateral, scalene, obtuse, acute, and right.
  • An isosceles triangle is a triangle with two congruent sides and one unequal side and angle.

Congruence Postulates

  • SSS Congruence Postulate: If the three corresponding sides of triangles are equal, then the triangles are congruent.
  • SAS Congruence Postulate: If two corresponding sides and their included angle of triangles are equal, then the triangles are congruent.
  • ASA Congruence Postulate: If two corresponding angles and their included side of triangles are equal, then the triangles are congruent.

Angles

  • An angle that measures between 0° and 90° is called an acute angle.
  • An angle that measures between 90° and 180° is called an obtuse angle.

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