Ratios and Proportions
Similar
Polygons
Polygons
Similarity
Proportionality
Miscellaneous
100
What is the two-word method used to solve a proportion?
Cross multiplication
100
True or false: Similar figures do NOT have congruent corresponding angles.
False
100
The similarity theorem for these triangles:
AA Similarity Theorem
100
(BE)/(EC)=?/(FC)
DF
100
If two triangles are similar then their angles are...
Congruent
200
Simplify this ratio.
50:250
1:5
200
What is the relationship among the proportions of corresponding sides of similar figures?
They are the same
200
If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.
SAS Similarity Theorem
200
(EC)/(CB)=(FC)/?
CD
200
Figures that have the same shape but different sizes are...
Similar
300
Figure A has a side length of 12. Figure B has a side length of 8. What is the scale factor from A to B?
2/3
300
Suppose △ABC ~ △JKL. What angle is congruent to ∠K?
∠B
300
These triangles are similar by what similarity theorem and what is their scale factor?
SSS Similarity
Scale factor: 10 or 1/10
300
DE is the midsegment of the triangle. Find x.
13
300
This is the term for the ratio between corresponding figures.
Scale Factor
400
x= 12
400
Suppose △ABC ~ △JKL. What side is similar to side JL?
side AC
400
These triangles are similar by ____.
SAS
400
The ratio of the sides of similar polygons is 4. What is the ratio of the areas?
16
400
These quadrilaterals are all similar to each other
Squares
500
z=?
z=6
500
What is the scale factor of △ABC to △XYZ?
4/3
500
What is the fourth similarity theorem we learned, in addition to AA, SAS~, and SSS~?
HL~
500
A photo is enlarged so that its area is 25 times bigger than the original. By what factor were the sides increased?
5
500
In a dilation, this range of values for k results in a reduction
0<k<1