Scale Factors
Similar
Shapes
Shapes
Triangle Proportionality
Definitions
100
Why are scale factors needed in this lesson?
Dilations and proving similarity
100
True or false: Similar figures do NOT have congruent angles.
False
100
(BE)/(EC)=?/(FC)
DF
100
What is the definition of similarity
There exists a series of transformations that take one figure onto another
200
Find the scale factor from 4 units to 1 unit
1/4
200
What is true about the shape and size of similar figures?
same shape, different size
200
If two angles in one triangle are congruent to two angles in another triangle, then the two triangles are similar.
Angle-Angle Triangle Similarity Theorem
200
Pythagorean Theorem
a^2 + b^2 = c^2
300
Find the scale factor from 10 units to 15 units
3/2
300
Suppose △ABC ~ △JKL. What angle is congruent to ∠K?
∠B
300
(DB)/?=(BC)/(EC)
FE
300
Definition of Scale Factor in a dilation
The number you multiply by to dilate each point, also can tell proportions of each side lengths
400
Find the scale factor from 20 units to 8 units
2/5
400
Suppose △ABC ~ △JKL. What side is congruent to side JL?
side AC
400
These triangles are similar by ____.
Angle-Angle Triangle Similarity Theorem
400
the definition of Angle-Angle Triangle Similarity Theorem
In 2 different triangles have 2 corresponding and congruent angles, we can say that those 2 triangles are similar
500
Find the scale factor from 11 units to 4 units
4/11
500
What is the scale factor of △ABC to △XYZ?
4/3
500
(EC)/(CB)=(FC)/?
CD
500
Definition of Dilation
Transformation in which each point on a figure and changes its distance from a fixed point, by a scale factor.