8.G.8 Flashcard

Front

What is the distance formula used to find the distance between two points (x1, y1) and (x2, y2)?

Back

The distance formula is d = √((x2 - x1)² + (y2 - y1)²).

Front

How do you round a number to the nearest tenth?

Back

Look at the hundredths place; if it's 5 or more, round up the tenths place by one. If it's less than 5, keep the tenths place the same.

Front

What is the distance between the points (1, 2) and (4, 6)?

Back

The distance is 5.0.

Front

What is the distance between the points (-4, 5) and (7, 18)?

Back

The distance is 17.03.

Front

If an airplane flies 56 miles north and 33 miles east, how do you find the distance from the starting point?

Back

Use the Pythagorean theorem: d = √(56² + 33²) = 65 miles.

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

How do you calculate the distance between two points on a coordinate plane?

Back

Use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the significance of rounding in distance calculations?

Back

Rounding provides a simpler, more manageable number that is easier to interpret.

Front

What is the distance between the points (-5, -8) and (-1, -16)?

Back

The distance is 8.9.

Front

How do you determine the direction of a vector in a coordinate plane?

Back

Use the angle formed with the positive x-axis, calculated using trigonometric functions.