WEEK 29-SCALE-FACTORS-AND-TRANSFORMATIONS

Scale Factors and Transformations

Start

Objectives

Identifying Scale Factors

Summary

Practice

Scale Factors

Real-World Application

Scale Factors

Let's delve into this concept

In every dilation we have a scale factor

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The relationship can be expressed as:

For the side c:

6=2(3) c'=2c

Example 1: If the scale factor is 2, the image is twice the size of the original.

The scale factor is a number that describes how much a shape is enlarged or reduced.

Identifying Scale Factors

Scale factor=3

Given a preimage and image, you can find the scale factor by comparing corresponding sides.

The scale factor is:

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Example 2: Given the triangle ABC and its scaling A'B'C':

Practice

Scale factor=2.5

Solution

Click here to draw >

Find the scale factor which gave to the new image.

You are working on a project scaling an image without altering it. (px: pixel)

Scaling of an Image

Solution

Click here to draw >

Then, augment the image by a scale factor of 2.

Move the image 5 units to the right and 1 unit up.

Transforming an Image

Try it by yourself:

Real-World Application

(x + a, y + b)

Translation

(kx, ky) k: scale factor

x-axis: (x, y) -> (-x, y) y-axis: (x, y) -> (x, -y)

dilation

reflection

Other angle: Measure ∡ an rotate object

rotation

Summary:Transformation of Coordinates

8TH-SCALE-FACTORS-AND-TRANSFORMATIONS-EN © 2024 by CASURID is licensed under CC BY-NC-ND 4.0

See you next time

Great job!

A journey soon begin through Social Science experiences!

Welcome 6th graders!

• Grid paper.
• A Protactor.
• Pencils of different colors.
• Eraser.
• A rule.

• A compass.
• A calculator.
• Geogebra installed on your phone/tablet/computer (or use online version).

MATERIAL

It is highly advised to have:

"MA.8.GR.2 Understand similarity and congruence using models and transformations." MA.8.GR.2.2 Given a preimage and image generated by a single dilation, identify the scale factor that describes the relationship. MA.8.GR.2.3 Describe and apply the effect of a single transformation on two-dimensional figures using coordinates and the coordinate plane.