December 4, 2020
On Tuesday we were feeling pretty down and out about school and life. How are you doing today? Have things changed (for better or for worse?) at all for you?
Is there anything that I can do (other than not assigning any work) that would help make your world a little brighter?
*Remember: No one else will see these responses, they are just for you to talk to me*
Warm-up: What does the scale factor do in a dilation?
What do they really do?
Scale Factors are just as they sound
Factors (multipliers) that scale (change the size of) a shape
Scale factors can do one of two things: grow or shrink an object
A scale factor larger than one (>1) makes an object get larger --> could be a fraction or a whole number
A scale factors smaller than one (<1) makes an object get smaller
Which scale factors would increase an image?
Which scale factors shrink an image?
What are the properties of dilations?
What happens if you aren't given the scale factor?
Set up a proportion
Solve for the missing side
But...what's a proportion?
A proportion is a ratio (fraction) that compares the corresponding pairs of sides
The missing side, EF, can be found by setting up a proportion between the pairs of corresponding sides.
We know AB and DE are corresponding, and we know BC and EF are corresponding. So our proportion will be
How do we solve a proportion now?
Set up your proportion
Cross multiply (just like with regular fractions) 5x = 6
Solve for x (divide both sides by 5)
There is a proportions practice sheet in Google Classroom
Please go work on that
Email me if you have any questions :)