204a - Distance Formula Flashcardizz

Front

What is the Distance Formula?

Back

The Distance Formula is used to determine the distance between two points in a coordinate plane. It is given by the formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

How do you calculate the distance between the points (2,9) and (1,5)?

Back

Using the Distance Formula: d = √((1 - 2)² + (5 - 9)²) = √(1 + 16) = √17 ≈ 4.12.

Front

What is the distance between the points (3, 24) and (7, 56)?

Back

Using the Distance Formula: d = √((7 - 3)² + (56 - 24)²) = √(16 + 1024) = √1040 ≈ 32.2.

Front

Find the distance between the points (-3, -4) and (5, 5).

Back

Using the Distance Formula: d = √((5 - (-3))² + (5 - (-4))²) = √(64 + 81) = √145 ≈ 12.

Front

What is the significance of the Distance Formula in geometry?

Back

The Distance Formula is significant as it allows us to calculate the straight-line distance between two points, which is essential in various geometric applications.

Front

What does the term 'coordinate plane' refer to?

Back

A coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis), used to locate points using ordered pairs (x, y).

Front

What is the distance between the points (0,0) and (x,y)?

Back

Using the Distance Formula: d = √((x - 0)² + (y - 0)²) = √(x² + y²).

Front

How do you find the distance between two points with negative coordinates?

Back

The Distance Formula applies the same way regardless of the sign of the coordinates. For example, for points (-3, -4) and (5, 5), use d = √((5 - (-3))² + (5 - (-4))²).

Front

What is the distance between the points (1,1) and (4,5)?

Back

Using the Distance Formula: d = √((4 - 1)² + (5 - 1)²) = √(9 + 16) = √25 = 5.

Front

What is the distance between the points (2,3) and (2,7)?

Back

Using the Distance Formula: d = √((2 - 2)² + (7 - 3)²) = √(0 + 16) = √16 = 4.