Card 1 of 20
EasyStudy card 1
Prompt
What does AA Similarity require?
Answer
Two pairs of congruent corresponding angles.
MathChapter 17: Triangles
Flashcards
Similar Triangles and Proportional Parts Flashcards
Twenty cards on AA, vertex correspondence, scale factors, parallel proportionality, and midsegments.
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Card 1 of 20. Answer hidden.
Card 2 of 20
EasyStudy card 2
Prompt
If \(\triangle ABC\sim\triangle DEF\), which vertices correspond?
Answer
A-D, B-E, and C-F.
Card 3 of 20
EasyStudy card 3
Prompt
What is true of corresponding sides in similar triangles?
Answer
They are proportional.
Card 4 of 20
EasyStudy card 4
Prompt
How do similar-triangle perimeters scale?
Answer
By the same factor as corresponding side lengths.
Card 5 of 20
EasyStudy card 5
Prompt
What does a parallel segment inside a triangle create?
Answer
A smaller triangle similar to the whole triangle by AA.
Card 6 of 20
EasyStudy card 6
Prompt
State the Triangle Proportionality Theorem.
Answer
A line parallel to one triangle side divides the other two sides proportionally.
Card 7 of 20
EasyStudy card 7
Prompt
What is a triangle midsegment?
Answer
A segment joining the midpoints of two sides.
Card 8 of 20
MediumStudy card 8
Prompt
What two facts hold for a triangle midsegment?
Answer
It is parallel to the third side and half as long.
Card 9 of 20
MediumStudy card 9
Prompt
If AB corresponds to DE, how may that ratio begin?
Answer
\(AB/DE\), provided every other ratio uses the same orientation.
Card 10 of 20
MediumStudy card 10
Prompt
Side scale factor is 3. What is perimeter scale factor?
Answer
3.
Card 11 of 20
MediumStudy card 11
Prompt
Small perimeter is 24 and scale factor is 1.5. Large perimeter?
Answer
36.
Card 12 of 20
MediumStudy card 12
Prompt
Why does a parallel segment establish AA?
Answer
It creates corresponding or alternate interior angle congruences.
Card 13 of 20
MediumStudy card 13
Prompt
How can intersecting triangles get one AA pair?
Answer
From congruent vertical angles at the intersection.
Card 14 of 20
MediumStudy card 14
Prompt
If DE is a midsegment of triangle ABC and BC=30, find DE.
Answer
15.
Card 15 of 20
MediumStudy card 15
Prompt
What is wrong with reversing only one ratio?
Answer
The triangle orientation becomes inconsistent.
Card 16 of 20
MediumStudy card 16
Prompt
Are corresponding side differences equal in similar triangles?
Answer
Not generally; corresponding side ratios are equal.
Card 17 of 20
HardStudy card 17
Prompt
Why is visual resemblance insufficient for similarity?
Answer
A marked or derived angle relationship is required.
Card 18 of 20
HardStudy card 18
Prompt
What should be written before a similarity proportion?
Answer
The ordered vertex correspondence.
Card 19 of 20
HardStudy card 19
Prompt
When may the midsegment one-half rule be used?
Answer
Only when both endpoints are known midpoints.
Card 20 of 20
HardStudy card 20
Prompt
How is area scale factor different from side scale factor?
Answer
Area uses the square of the side factor; side and perimeter use the factor itself.
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