chapter 6 & 7 notes

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chapter 6 & 7 notes

Congruent and Similar Triangles(6.5)

Two triangles are congruent when they have the same shape and the same size.

Square Root and The Pythagorean Theorem(6.4)

The square root of a positive number (a) is the positive number (b) whose square is (a). if b2 = a

example: a square root of 25 is 5 because 5.5 = 25

Proportions and Problem Solving(6.3)

Writing proportions is a powerful tool for solving problems in almost every field, including business,chemistry, biology, health sciences, and engineering, as well as in daily life.

example: 5miles over 2 inches = x miles over 7inches cross multiply and 5.7=2.x , 35 =2x, divided both by 2, and x = 17.5

Proportions (6.2)

A proportion is a statement that two ratios or rates are equal.

example(2/24=1/12)

Ratios and Rates (6.1)

Rates are used to compare different kinds of quantities.

example 32 miles/12gallons

A ratio is the quotient of two quantities.

example( a: b)