How do you solve for y in an inverse variation problem?

To solve for y in an inverse variation problem, first find the constant k using the known values of x and y, then use the equation $$y = \frac{k}{x}$$ to find y for any other value of x.

What is the tangent of an angle in a right triangle?

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side. It can be expressed as: $$\text{tangent}(\theta) = \frac{\text{opposite}}{\text{adjacent}}$$ .

What is the formula for the area of a triangle?

The area (A) of a triangle can be calculated using the formula: $$A = \frac{1}{2} \times \text{base} \times \text{height}$$ .

Define the term 'angle of elevation'.

The angle of elevation is the angle formed by the horizontal line and the line of sight to an object above the horizontal line.

What is the relationship between the angles and sides in similar triangles?

In similar triangles, corresponding angles are equal, and the lengths of corresponding sides are proportional.

How do you determine if a transformation is rigid?

To determine if a transformation is rigid, check if the shape and size of the figure remain unchanged after the transformation.

What is the significance of the constant k in inverse variation?

The constant k in inverse variation represents the product of the two variables. It remains constant regardless of the values of x and y.

What is the formula for finding the hypotenuse in a right triangle?

To find the hypotenuse (c) in a right triangle, use the Pythagorean theorem: $$c = \text{sqrt}(a^2 + b^2)$$ .

Unit 7 Checkpoint Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the Pythagorean theorem?

Back

2.

FLASHCARD QUESTION

Front

Define inverse variation.

Back

3.

FLASHCARD QUESTION

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure. Examples include translations, rotations, and reflections.

4.

FLASHCARD QUESTION

Front

How do you find the missing side of a triangle using trigonometric ratios?

Back

5.

FLASHCARD QUESTION

Front

What is the sine of an angle in a right triangle?

Back

6.

FLASHCARD QUESTION

Front

Explain the relationship between the angle of a ramp and its distance from the base of a step.

Back

As the distance from the base of the step decreases, the angle of the ramp increases. This is because a shorter horizontal distance with the same height results in a steeper angle.

7.

FLASHCARD QUESTION

Front

What is the cosine of an angle in a right triangle?

Back

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