Vocab
To create a scaled copy, we ________all the lengths in the original figure by the same number. This number is called the scale factor.
multiply
What is the term for the ratio of the size of the drawing to the size of the actual object?
Scale
If you were asked to draw a scaled copy with a scale factor of 4, the copy would be Bigger, Smaller or the Same size?
Bigger
Numbers greater than 1 make the shape bigger
Numbers less than 1 make the shape smaller
Figure B is a scaled copy of Figure A.
True or False: Figure B has the same number and measurements of angles as Figure A. Explain
True. Scaled copies have corresponding parts and angles.
Two rectangles are scaled copies. The first rectangle has a length of 8 cm. The second rectangle has a length of 16 cm. How would you set up this problem to find the scaled factor?
First copy / second copy= scale factor for first copy to second copy.
Or
8/16 = 1/2 = 0.5
Scaled copies have _____________ parts.
Corresponding
What is a segment?
A line between two points.
Figures A and B are scaled copies.
The scale factor from A to B is
7/9
What is the scale factor from Figure B to A?
It would be the reciprocal of A to B or from 7/9 to 9/7=1 2/7
Figure B is a scaled copy of Figure A.
True or False: Figure B has the same number of edges as Figure A.
True. They are corresponding parts and are the same shape.
A figure has a width of 8 feet. A smaller copy is created using a scale factor of 0.5. How would you setup this problem?
Figure number x scale factor = Scaled copy number
8ft x 0.5= 4ft
A scaled copy is a copy of a figure where every ______ in the original figure is multiplied by the same number.
length or side
What is the term for a drawing that represents an object at a smaller or larger size than its actual size?
Scale Drawing
Free Space
Everyone Gets 100 points!
If the scale factor is between 0 and 1, then the scaled copy will be smaller in comparison to the original figure.
True!
Scale factors that are fractions make it smaller
A rectangle is 5 inches long and 3 inches wide. A scaled copy uses a scale factor of 2.How would you set up the problem to solve for the scaled copies new mesurments?
(length or Width) X (scale factor) or
(length or Width) x 2
Long: 5in x2= 10in
Wide: 3in x2= 6in
To create a scaled copy, we multiply all the lengths in the original figure by the same number. This number is called the ______ ______.
Scale Factor
_____ is when all the sides of a shape are added together to find total distance around the outside edge of the shape.
Perimeter
If the scale factor is 1, then will the scaled copy change?
No, because you are multiplying by one hence nothing will change.
When a question says the scale is 3cm to 10in it also be written as 3cm represents 10in ?
True both ways tell you the same thing!
This scale can also be written as 3cm:10in.
When given the question a scale drawing of a room uses a scale of 1 : 50. A wall is 15 cm long in the drawing. How would you set up an equation to solve for the new length of the room?
Drawing number = Actual number
x scale
or
15cm (drawing)= 750cm long (actual)
x50
A _________ ________ is the same shape, but a different size.
scaled copy
_____ is when the base and height of a shape are multiplied to find the amount of space inside a shape.
Area!
For triangles we do base (B) multiped by height (H) divided by 2.
If the scale factor is greater than 1, then the scaled copy will be smaller in comparison to the original figure.
False!
A scale factor greater than 1 will make the copy bigger than the original.
If I have a triangle with point ABC. If I want to write the angle of C. I would write the angle as angle CBA.
False when writing an angle the point of the angle should be in the middle of the written angle. Such as this being written as angle ACB. Or you can write the angle as angle C.
When given a scale for a drawing of 1in to 13m and a measurement of 5in how would you set that up this problem to solve for the new value?
_(Scale)___=__(number)__
(Actual) x
or
_1in___=__5in__
13m x