Vocab
What's one thing that changes about the original to make a scaled copy and one thing that stays the same?
Changes (Side Lengths (sf), Area (sf squared), Perimeter)
Stays the Same (Angles, Shape, # of Edges)
If the scale factor is greater than 1, then the scaled copy will be _______________ in comparison to the original figure.
Bigger
What is the name of the tool we can use to measure angles?
Protractor.
This map uses a scale where 1 cm = 5 mi.
What is the actual distance between Charlotte and Raleigh?
175 miles
If two images are scaled copies of one another, then there must be a scale ____________
Factor
If the scale factor is less than 1, then the scaled copy will be _______________ in comparison to the original figure.
Smaller
In scaled copies, corresponding angles have ______ measure as the original figure.
Fill in the Blank: the same, a different
the same.
Charlotte is 740 miles away from Miami, Florida.
How far is Charlotte from Miami on a map where 1 cm = 10 mi?
- 74 centimeters
- 0.74 meters
A scale factor is a _______________ that you _______________ by the original image's sides to give you the scale copy
number; multiply
Triangle A is the original figure.
Triangle B is a scaled copy of Triangle A.
The scale factor is "2"
If Triangle A has sides 3, 4, and 5, what are the side lengths of Triangle B?
6, 8, and 10
Quadrilaterals ABCD and EFGH are scaled copies of one another.
What is the corresponding part to segment BC?
Segment FG
When a scale has no units, it means that the units are the ________ on both sides.
If my drawing is in centimeters, then I am comparing it to _____________ in real life.
- same
- centimeters
When angles/sides/points are in the same place on two different shapes, we can say that they are __________________.
Corresponding
Original Figure S has a scaled copy, Figure T.
S has dimensions 9 feet by 12 feet
T has dimensions 3 feet by 4 feet
What is the scale factor from original Figure S to scale copy T?
1/3
Polygon 1 consists of the points ABCDEF, while Polygon 2 consists of the points GHIJKL. Polygon 1 and 2 are scaled copies of one another.
What corresponds with angle KLG?
Angle EFA
Figure B is a scaled copy of Figure A.
True or False: Figure B has the same perimeter as Figure A.
False; not true unless the scale factor = 1.
Corresponding parts are segments, points, or angles that are in the __________ ___________ between both figures
same position or same location
Figure P is the original figure (rectangle).
Figure M is a scaled copy of Figure P
The scale factor is "8"
Figure P has sides x and y
Figure M has corresponding sides 8 and 88
What were the side lengths on the original figure P?
x = 1 and y = 11
Figure A has side lengths 12, 8, and 2
Figure B has side lengths 3, 2, and 2/3
Can Figure B be a scaled copy of Figure B? Be ready to explain your answer.
No.
2 sides were changed with a scale factor of (1/4) and one side of the shape used a scale factor of (1/3). To make a scaled copy all sides have to be multiplied or divided by the same thing.
Ms. Portlock's Doordash driver is 4 cm away from her house on the app.
Doordash uses a scale where 1/2 cm = 2 miles.
She's getting impatient for her sushi delivery, so she decides to calculate how many miles away her driver is and if he will arrive in the 15 minutes estimate.
If he follows an average speed limit of 40 miles per hour, will he make it by the estimated time?
Actual Distance = 16 miles
40 miles in 60 minutes
16 miles in 24 minutes.
NO! That Doordash estimate is trash. It will take at least 24 minutes for the driver to arrive at that average speed.