Similar Triangles
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What are similar triangles?
Back
Triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.
2.
FLASHCARD QUESTION
Front
What does AA similarity criterion stand for?
Back
AA stands for Angle-Angle. If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.
3.
FLASHCARD QUESTION
Front
What does SSS similarity criterion stand for?
Back
SSS stands for Side-Side-Side. If the corresponding sides of two triangles are in proportion, the triangles are similar.
4.
FLASHCARD QUESTION
Front
What does SAS similarity criterion stand for?
Back
SAS stands for Side-Angle-Side. If two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, the triangles are similar.
5.
FLASHCARD QUESTION
Front
How can you determine if two triangles are not similar?
Back
If none of the similarity criteria (AA, SSS, SAS) are satisfied, the triangles are not similar.
6.
FLASHCARD QUESTION
Front
If triangle ABC is similar to triangle DEF, and AB = 4, AC = 6, and DE = 8, what is the length of DF?
Back
DF = 12 (Using the ratio of sides: AB/DE = AC/DF => 4/8 = 6/DF => DF = 12).
7.
FLASHCARD QUESTION
Front
If two triangles have one angle of 60 degrees and the other angles are 30 degrees and 90 degrees respectively, are they similar?
Back
Yes, they are similar by AA criterion (60° = 60° and 30° + 90° = 120° which is the third angle).
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