4.1.2 R & P Practice - Slope Ratios

Front

What is the slope ratio in a right triangle?

Back

The slope ratio is the ratio of the opposite side to the adjacent side of a right triangle, often represented as 'rise over run'.

Front

How do you find the angle of a triangle using the slope ratio?

Back

You can find the angle using the inverse tangent function (arctan) of the slope ratio.

Front

What is the sum of the angles in a triangle?

Back

The sum of the angles in a triangle is always 180 degrees.

Front

If the slope ratio is 3/4, what is the angle in degrees?

Back

The angle can be found using arctan(3/4), which is approximately 36.87 degrees.

Front

What does a slope ratio of 1 indicate about the angle?

Back

A slope ratio of 1 indicates a 45-degree angle, where the rise and run are equal.

Front

What is the relationship between slope ratios and angles in trigonometry?

Back

Slope ratios correspond to the tangent of the angle in trigonometry, where tan(angle) = opposite/adjacent.

Front

How can you determine if two slope ratios are equivalent?

Back

Two slope ratios are equivalent if they simplify to the same fraction.

Front

What is the slope ratio for an angle of 30 degrees?

Back

The slope ratio for an angle of 30 degrees is 1/√3 or approximately 0.577.

Front

What is the slope ratio for an angle of 60 degrees?

Back

The slope ratio for an angle of 60 degrees is √3/1 or approximately 1.732.

Front

If Ben's slope ratio is 7/10, what is Clarissa's if she is correct for a different angle?

Back

Clarissa's slope ratio could be 10/7 for a different angle, indicating a different triangle.