Triangle Similarity: AA, SAS, SSS

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•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is Triangle Similarity?
Back
Triangle similarity refers to the property of two triangles having the same shape but not necessarily the same size. This means their corresponding angles are equal and their corresponding sides are in proportion.
2.
FLASHCARD QUESTION
Front
What does AA stand for in triangle similarity?
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 SAS stand for in triangle similarity?
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.
4.
FLASHCARD QUESTION
Front
What does SSS stand for in triangle similarity?
Back
SSS stands for Side-Side-Side. If the corresponding sides of two triangles are in proportion, the triangles are similar.
5.
FLASHCARD QUESTION
Front
If two triangles have angles measuring 30°, 60°, and 90°, are they similar?
Back
Yes, they are similar by AA since all corresponding angles are equal.
6.
FLASHCARD QUESTION
Front
If triangle ABC has sides of lengths 3, 4, and 5, and triangle DEF has sides of lengths 6, 8, and 10, are they similar?
Back
Yes, they are similar by SSS because the sides are in proportion (3:6, 4:8, 5:10).
7.
FLASHCARD QUESTION
Front
How do you determine if two triangles are similar using the AA criterion?
Back
To determine similarity using the AA criterion, check if two angles of one triangle are equal to two angles of another triangle.
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