How do you know that these two ratios are in proportion?
(50) / (100)= (1) / (2)
- Cross Multiply. Cross products = 100
- 50 is half of 100
- other
Similar polygons have the same ___ but different ___.
Same Shape & Different Size
How can you prove these triangles similar?
AA~
How do we write a ratio?
As a fraction.
Dilations are transformations that create ______ images.
Similar
What is my favorite color?
Green
Are these two ratios in proportion? Prove it.
(13) / (17) = (78) / (102)
Yes
(13)(102) = (17)(78)
1,326 = 1,326
Cross-products are equal.
In similar figures, what stays the same: angles or sides?
Angles
How can you prove these triangles similar?
SSS~
Find the length of the missing side.
x = 39
Identify the pre-image.
triangleABC
Where did I go to college?
Full Sail University
Solve for x.
2/5 = x/75
x = 30
Name three ways to prove triangles are Congruent
AA, SAS, SSS
How can you prove these triangles similar?
SAS~
Find the missing side length.
x = 44
What happened to the pre-image?
It shrunk.
What instrument did I play in HS?
Saxophone and Piano
Solve for x.
4/13 = 16/x
x = 52
Corresponding ___ in similar polygons are always congruent.
Angles
Are these triangles similar?
Not enough information
What is the scale factor?
triangleA ~ triangleB
3/2 (1.5)
2/3 (0.66666)
This is the value of m in this dilation.
What is 5?
What is my first name?
Melissa
Solve for x.
9/x = x/25
x = 15
What is the scale factor to go from the larger figure to the smaller figure?
4/6
Are these triangles similar? If so, explain how you know and complete the similarity statement.
Yes, because of AA~.
triangleHTS
Are these triangles similar?
No. There is no ratio of similarity.
3/4 = 0.75
5/6 = 0.83333
What is the scale factor of this dilation?
1/5
What is my favorite subject?
Math