Distance Formula

Distance Formula

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Quizizz Content

FREE Resource

The video tutorial explains the concept of distance in both everyday contexts and on a coordinate plane. It introduces the use of Pythagoras' theorem to calculate the distance between two points on a graph, initially using specific examples. The tutorial then generalizes this approach to derive the distance formula, which can be applied to any two points on a plane. The video concludes by verifying the formula with examples, demonstrating its practical application.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the distance between two points A(0, 4) and B(3, 0) on the coordinate axes?

5 units

6 units

4 units

3 units

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a right triangle formed by points A(4, 5) and B(-3, -4), what is the approximate length of the hypotenuse?

7.5 units

9.8 units

13.2 units

11.4 units

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the general formula for calculating the distance between two points (X1, Y1) and (X2, Y2) on a plane?

D = |X2 - X1| + |Y2 - Y1|

D = (X2 - X1) + (Y2 - Y1)

D = (X2 - X1)^2 + (Y2 - Y1)^2

D = √((X2 - X1)^2 + (Y2 - Y1)^2)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is the square of X1 - X2 the same as the square of X2 - X1?

Because addition is commutative

Because the square of a number is always positive

Because multiplication is associative

Because subtraction is commutative

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Using the distance formula, what is the distance between points P(4, 6) and Q(6, 1)?

√5 units

10 units

5√5 units

5 units

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the distance formula in coordinate geometry?

It is used to determine the area of a triangle

It provides a method to calculate the distance between any two points on a plane

It is used to calculate the slope of a line

It helps in finding the midpoint of a line segment

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which theorem is used to derive the distance formula?

Fermat's Last Theorem

Pythagorean Theorem

Thales' Theorem

Euclid's Theorem