Geometry: Measuring Two-Dimensional Figures

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Presentation transcript:

Geometry: Measuring Two-Dimensional Figures Chapter 11 Geometry: Measuring Two-Dimensional Figures

Lesson 11-1 Squares and Square Roots Square – The product of a number and itself. Perfect Square – Numbers like 9, 25, and 16 that are the squares of rational numbers. Square Roots – The factors multiplied to form perfect squares. Radical Sign – (√) the symbol used to indicate the positive square root of a number.

Lesson 11-2 Estimating Square Roots To estimate the square root of a number that is not a perfect square, list the perfect squares it is between. Find the square root of each number. Your estimate will be the one it is closer to. Rational Number – Any number that can be written as a fraction (integers, repeating decimals, terminating decimals). Irrational Number – A number that cannot be written as a fraction. THE SQUARE ROOT OF ANY NUMBER THAT IS NOT A PERFECT SQUARE IS AN IRRATIONAL NUMBER.

Lesson 11-3 Pythagorean Theorem Pythagorean Theorem – Describes the relationship between the length of the hypotenuse and the lengths of the legs of a triangle: a2 + b2 = c2 Legs - The two side adjacent to the right angle. Hypotenuse – The side opposite the right angle.

Lesson 11-4 Area of Parallelograms Area of a Parallelogram – A = bh (area equals base times height). Base – any side of a parallelogram. Height – the length of the segment perpendicular to the base with endpoints on opposite sides.

Lesson 11-5 Area of Triangles and Trapezpoids Area of a Triangle: A = ½ bh (area equals ½ * base * height) Area of a Trapezoid: A =1/2h(b1+b 2) (area equals ½ * the height * the sum of the bases).