Gr12 Mathematics: Ch 7.1 Ratio and Proportion

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What is the primary purpose of a ratio?

To compare quantities with different units

To provide the actual measurements of quantities

To simplify complex calculations

To express how many times one quantity is contained in the other (correct)

If two ratios are equal, what can be said about the quantities involved?

They have different values

They are not proportional

They have the same units

They are in proportion (correct)

What is the property of proportion that states wx = xy?

Alternating Proportion

Reciprocal Proportion

Inverted Proportion

Cross Multiplication (correct)

What theorem states that a line drawn parallel to one side of a triangle divides the other two sides proportionally?

Basic Proportionality Theorem Signup and view all the answers

What is the first step in solving proportional problems?

Identify the given ratios Signup and view all the answers

What is a key point to remember when working with ratios?

Ratios should be simplified to their simplest form Signup and view all the answers

What is the purpose of proportions in geometry?

To compare different parts of geometric figures Signup and view all the answers

What is the result of cross-multiplying two ratios?

The product of the numerator of one ratio and the denominator of the other is equal to the product of the denominator of one ratio and the numerator of the other Signup and view all the answers

Which of the following is a key characteristic of a ratio?

Ratios are unit-less because they compare quantities of the same kind. Signup and view all the answers

If $rac{a}{b} = rac{c}{d}$, which of the following is true?

$a \cdot d = b \cdot c$ and $a \cdot c = b \cdot d$ Signup and view all the answers

In a triangle, if a line is drawn parallel to one side, what can be said about the other two sides?

They are divided proportionally. Signup and view all the answers

What is the purpose of setting up proportional equations when solving proportional problems?

To establish a relationship between the quantities. Signup and view all the answers

If $rac{a}{b} = rac{c}{d}$, which of the following is also true?

$rac{b}{a} = rac{d}{c}$ Signup and view all the answers

What is the result of inverting a proportion?

The ratios are swapped. Signup and view all the answers

Which of the following is an example of a proportional theorem?

Basic Proportionality Theorem Signup and view all the answers

What is the benefit of using ratios and proportions in geometry?

They help compare different parts of geometric figures. Signup and view all the answers

In a triangle, if a line is drawn parallel to one side, what is the relationship between the divided segments?

They are proportional Signup and view all the answers

If $\frac{a}{b} = \frac{c}{d}$, which of the following is NOT a property of proportion?

Linear Proportion Signup and view all the answers

What is the purpose of simplifying ratios?

To express the ratio in its simplest form Signup and view all the answers

If $\frac{w}{x} = \frac{y}{z}$, which of the following is true?

$wx = xy$ Signup and view all the answers

What is the benefit of using proportions in geometry?

It helps to compare different parts of geometric figures Signup and view all the answers

If $\frac{a}{b} = \frac{c}{d}$, which of the following is true?

$\frac{b}{a} = \frac{d}{c}$ Signup and view all the answers

What is the primary purpose of identifying given ratios when solving proportional problems?

To determine which quantities are being compared Signup and view all the answers

Which of the following is an example of a proportional theorem in geometry?

Basic Proportionality Theorem Signup and view all the answers

Gr12 Mathematics: Ch 7.1 Ratio and Proportion

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Questions and Answers

What is the primary purpose of a ratio?

If two ratios are equal, what can be said about the quantities involved?

What is the property of proportion that states wx = xy?

What theorem states that a line drawn parallel to one side of a triangle divides the other two sides proportionally?

What is the first step in solving proportional problems?

What is a key point to remember when working with ratios?

What is the purpose of proportions in geometry?

What is the result of cross-multiplying two ratios?

Which of the following is a key characteristic of a ratio?

If $rac{a}{b} = rac{c}{d}$, which of the following is true?

In a triangle, if a line is drawn parallel to one side, what can be said about the other two sides?

What is the purpose of setting up proportional equations when solving proportional problems?

If $rac{a}{b} = rac{c}{d}$, which of the following is also true?

What is the result of inverting a proportion?

Which of the following is an example of a proportional theorem?

What is the benefit of using ratios and proportions in geometry?

In a triangle, if a line is drawn parallel to one side, what is the relationship between the divided segments?

If $\frac{a}{b} = \frac{c}{d}$, which of the following is NOT a property of proportion?

What is the purpose of simplifying ratios?

If $\frac{w}{x} = \frac{y}{z}$, which of the following is true?

What is the benefit of using proportions in geometry?

If $\frac{a}{b} = \frac{c}{d}$, which of the following is true?

What is the primary purpose of identifying given ratios when solving proportional problems?

Which of the following is an example of a proportional theorem in geometry?

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