CFA: Similar Figures & Indirect Measure

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What are similar figures?
Back
Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.
2.
FLASHCARD QUESTION
Front
What does it mean for sides to be proportional in similar polygons?
Back
In similar polygons, the lengths of corresponding sides are in the same ratio, meaning they can be expressed as a fraction that is equal for all pairs of corresponding sides.
3.
FLASHCARD QUESTION
Front
What is the AA criterion for triangle similarity?
Back
The AA (Angle-Angle) criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.
4.
FLASHCARD QUESTION
Front
What is the SAS criterion for triangle similarity?
Back
The SAS (Side-Angle-Side) criterion states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are similar.
5.
FLASHCARD QUESTION
Front
What is the ASA criterion for triangle similarity?
Back
The ASA (Angle-Side-Angle) criterion states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are similar.
6.
FLASHCARD QUESTION
Front
How can you use indirect measurement to find the height of an object?
Back
Indirect measurement involves using similar triangles to find the height of an object by comparing it to a known height and shadow length.
7.
FLASHCARD QUESTION
Front
If a 5.5 ft tall girl casts a 4 ft shadow, and a tower casts a 90 ft shadow, how do you find the height of the tower?
Back
Set up a proportion: (height of girl)/(shadow of girl) = (height of tower)/(shadow of tower). Solve for the height of the tower.
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