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Calculating Distances and Approximations

Calculating Distances and Approximations

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Olivia Brooks

FREE Resource

The video tutorial explains how to solve a geometry problem involving a triangle with coordinates. It demonstrates the use of Pythagoras theorem to calculate distances between points by determining vertical and horizontal distances (rise and run). The tutorial includes a step-by-step calculation of the hypotenuse and its approximation, emphasizing the importance of understanding coordinate geometry. The session concludes with a discussion on how to interpret questions and approximate answers when required.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of the initial problem discussed in the video?

Determining the angles of a triangle

Finding the area of a triangle

Calculating distances in coordinate geometry

Solving algebraic equations

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the vertical distance between two points?

By adding the x-coordinates

By subtracting the y-coordinates

By adding the y-coordinates

By subtracting the x-coordinates

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the horizontal distance between the points (1,1) and (10,1)?

5

9

10

11

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which theorem is used to find the hypotenuse of the triangle?

Euclid's Theorem

Pythagoras' Theorem

Fermat's Theorem

Thales' Theorem

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sum of the squares of the two distances calculated?

81

106

100

25

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is only the positive value of the hypotenuse considered?

Because it simplifies calculations

Because distances cannot be negative

Because negative values are not allowed in geometry

Because it is a convention

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the approximate length of the hypotenuse to two decimal places?

10.00

10.29

10.50

10.75

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